Finite Group Databasebeta

← Group #11921374

Character table — Group #11921374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444666688888888888888121212121212121212121212121216161616161616161616161616161616363636364848484848484848
order122344666334466121212121212224433666666661212121222666666888812121212121212121212121212121212121288882424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111−1−i32−1+i3211−1−i32−1+i321111111111−1−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+i3211111111111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6111111111−1−i32−1+i3211−1−i32−1+i321111111111−1−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+i3211111111-1-1-1-111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ7111111111−1−i32−1+i32-1-1−1−i32−1+i3211-1-1-1-11111−1−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+i32-1-111-1-1-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ8111111111−1−i32−1+i32-1-1−1−i32−1+i3211-1-1-1-11111−1−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+i32-1-111-1-1-1-1-1-111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ9111111111−1+i32−1−i3211−1+i32−1−i321111111111−1+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−i3211111111111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ10111111111−1+i32−1−i3211−1+i32−1−i321111111111−1+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−i3211111111-1-1-1-111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ11111111111−1+i32−1−i32-1-1−1+i32−1−i3211-1-1-1-11111−1+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−i32-1-111-1-1-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ12111111111−1+i32−1−i32-1-1−1+i32−1−i3211-1-1-1-11111−1+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−i32-1-111-1-1-1-1-1-111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ131111-1-1111111-111-1-111-1-1-1-1111111111111-1-1-1-11-1-1-111-1-1i−ii−i111-11-1-1-1-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ141111-1-1111111-111-1-111-1-1-1-1111111111111-1-1-1-11-1-1-111-1-1−ii−ii111-11-1-1-1-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ151111-1-111111-1111-1-1-1-111-1-1111111111111-1-1-1-1-11-1-1-1-111i−i−ii11-11-11-1-1-1-1-1-111-1-111i−i−iii−ii−i−ii−ii
χ161111-1-111111-1111-1-1-1-111-1-1111111111111-1-1-1-1-11-1-1-1-111−iii−i11-11-11-1-1-1-1-1-111-1-111−iii−i−ii−iii−ii−i
χ171111-1-1111−1−i32−1+i321-1−1−i32−1+i32-1-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1-111-1-1i−ii−i11−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−ii−iζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7
χ181111-1-1111−1−i32−1+i321-1−1−i32−1+i32-1-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1-111-1-1−ii−ii11−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii−ii−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7
χ191111-1-1111−1−i32−1+i32-11−1−i32−1+i32-1-1-1-111-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1-1-111i−i−ii111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i−iiζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7
χ201111-1-1111−1−i32−1+i32-11−1−i32−1+i32-1-1-1-111-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1-1-111−iii−i111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−iii−i−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7
χ211111-1-1111−1+i32−1−i321-1−1+i32−1−i32-1-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1-111-1-1i−ii−i11−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−ii−iζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11
χ221111-1-1111−1+i32−1−i321-1−1+i32−1−i32-1-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1-111-1-1−ii−ii11−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii−ii−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
χ231111-1-1111−1+i32−1−i32-11−1+i32−1−i32-1-1-1-111-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1-1-111i−i−ii111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i−iiζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11
χ241111-1-1111−1+i32−1−i32-11−1+i32−1−i32-1-1-1-111-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1-1-111−iii−i111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−iii−i−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11
χ25222-122-1-1-1222222-1-1-1-1-1-12222-1-122-1-1-1-1-1-1222222-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222-122-1-1-122-2-222-1-111112222-1-122-1-1-1-1-1-12222-2-2-1-111110000-1-1-2-2-2-2-1-1-1-111111111000000000000
χ27222-122-1-1-1−1−i3−1+i322−1−i3−1+i3-1-1-1-1-1-122221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i322-1-1-1-1-1-10000-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ28222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3-1-1111122221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i3-2-2-1-111110000-1-11+i31+i31−i31−i31+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ29222-122-1-1-1−1+i3−1−i322−1+i3−1−i3-1-1-1-1-1-122221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i322-1-1-1-1-1-10000-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ30222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3-1-1111122221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i3-2-2-1-111110000-1-11−i31−i31+i31+i31−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ31222-1-2-2-1-1-1222-22211-1-111-2-222-1-122-1-1-1-1-1-1-2-2-2-22-211-1-1110000-1-12-22-21111-1-111-1-111000000000000
χ32222-1-2-2-1-1-122-22221111-1-1-2-222-1-122-1-1-1-1-1-1-2-2-2-2-221111-1-10000-1-1-22-22111111-1-111-1-1000000000000
χ33222-1-2-2-1-1-1−1−i3−1+i32-2−1−i3−1+i311-1-111-2-2221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i31+i31−i31−i32-211-1-1110000-1-1−1−i31+i3−1+i31−i3−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000
χ34222-1-2-2-1-1-1−1−i3−1+i3-22−1−i3−1+i31111-1-1-2-2221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3-221111-1-10000-1-11+i3−1−i31−i3−1+i3−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000
χ35222-1-2-2-1-1-1−1+i3−1−i32-2−1+i3−1−i311-1-111-2-2221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i31−i31+i31+i32-211-1-1110000-1-1−1+i31−i3−1−i31+i3−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000
χ36222-1-2-2-1-1-1−1+i3−1−i3-22−1+i3−1−i31111-1-1-2-2221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3-221111-1-10000-1-11−i3−1+i31+i3−1−i3−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000
χ3722-222-2-2-222200222-200002-22-222-2-2-2-2-2-2222-22-2002-2000000002-200002-22-200000000000000000000
χ3822-222-2-2-22−1−i3−1+i300−1−i3−1+i32-200002-22-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i3002-2000000002-20000−1−i31+i3−1+i31−i300000000000000000000
χ3922-222-2-2-22−1+i3−1−i300−1+i3−1−i32-200002-22-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i3002-2000000002-20000−1+i31−i3−1−i31+i300000000000000000000
χ4022-22-22-2-22220022-220000-222-222-2-2-2-2-2-222-22-2200-22000000002-20000-22-2200000000000000000000
χ4122-22-22-2-22−1−i3−1+i300−1−i3−1+i3-220000-222-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i300-22000000002-200001+i3−1−i31−i3−1+i300000000000000000000
χ4222-22-22-2-22−1+i3−1−i300−1+i3−1−i3-220000-222-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i300-22000000002-200001−i3−1+i31+i3−1−i300000000000000000000
χ4322-2-12-211-1220022-11−i3i3−i3i32-22-2-1-1-2-21111-1-12-22-200-11−i3i3−i3i30000-110000-11-11−i3i3−i3i3−i3i3−i3i3000000000000
χ4422-2-12-211-1220022-11i3−i3i3−i32-22-2-1-1-2-21111-1-12-22-200-11i3−i3i3−i30000-110000-11-11i3−i3i3−i3i3−i3i3−i3000000000000
χ4522-2-12-211-1−1−i3−1+i300−1−i3−1+i3-11−i3i3−i3i32-22-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i31+i3−1+i31−i300-11−i3i3−i3i30000-1100001+i32−1−i321−i32−1+i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000
χ4622-2-12-211-1−1−i3−1+i300−1−i3−1+i3-11i3−i3i3−i32-22-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i31+i3−1+i31−i300-11i3−i3i3−i30000-1100001+i32−1−i321−i32−1+i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000
χ4722-2-12-211-1−1+i3−1−i300−1+i3−1−i3-11−i3i3−i3i32-22-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i31−i3−1−i31+i300-11−i3i3−i3i30000-1100001−i32−1+i321+i32−1−i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000
χ4822-2-12-211-1−1+i3−1−i300−1+i3−1−i3-11i3−i3i3−i32-22-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i31−i3−1−i31+i300-11i3−i3i3−i30000-1100001−i32−1+i321+i32−1−i32−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000
χ4922-2-1-2211-12200221-1−i3i3i3−i3-222-2-1-1-2-21111-1-1-22-22001-1−i3i3i3−i30000-1100001-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ5022-2-1-2211-12200221-1i3−i3−i3i3-222-2-1-1-2-21111-1-1-22-22001-1i3−i3−i3i30000-1100001-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ5122-2-1-2211-1−1−i3−1+i300−1−i3−1+i31-1−i3i3i3−i3-222-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i3−1−i31−i3−1+i3001-1−i3i3i3−i30000-110000−1−i321+i32−1+i321−i32−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000000000
χ5222-2-1-2211-1−1−i3−1+i300−1−i3−1+i31-1i3−i3−i3i3-222-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i3−1−i31−i3−1+i3001-1i3−i3−i3i30000-110000−1−i321+i32−1+i321−i323−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000
χ5322-2-1-2211-1−1+i3−1−i300−1+i3−1−i31-1−i3i3i3−i3-222-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i3−1+i31+i3−1−i3001-1−i3i3i3−i30000-110000−1+i321−i32−1−i321+i323+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000000000
χ5422-2-1-2211-1−1+i3−1−i300−1+i3−1−i31-1i3−i3−i3i3-222-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i3−1+i31+i3−1−i3001-1i3−i3−i3i30000-110000−1+i321−i32−1−i321+i32−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000
χ55333333333003300333333-1-1-1-100000000000000-1-1-1-1-1-1-1-13333-1-10000000000000000-1-1-1-100000000
χ56333333333003300333333-1-1-1-100000000000000-1-1-1-1-1-1-1-1-3-3-3-3-1-10000000000000000111100000000
χ5733333333300-3-30033-3-3-3-3-1-1-1-10000000000000011-1-1111133-3-3-1-10000000000000000-1-11100000000
χ5833333333300-3-30033-3-3-3-3-1-1-1-10000000000000011-1-11111-3-333-1-1000000000000000011-1-100000000
χ593333-3-3333003-300-3-333-3-311-1-100000000000000-1111-1-1113i−3i3i−3i-1-10000000000000000−ii−ii00000000
χ603333-3-3333003-300-3-333-3-311-1-100000000000000-1111-1-111−3i3i−3i3i-1-10000000000000000i−ii−i00000000
χ613333-3-333300-3300-3-3-3-33311-1-1000000000000001-11111-1-13i−3i−3i3i-1-10000000000000000−iii−i00000000
χ623333-3-333300-3300-3-3-3-33311-1-1000000000000001-11111-1-1−3i3i3i−3i-1-10000000000000000i−i−ii00000000
χ63666-366-3-3-3006600-3-3-3-3-3-3-2-2-2-200000000000000-2-21111110000110000000000000000000000000000
χ64666-366-3-3-300-6-600-3-33333-2-2-2-2000000000000002211-1-1-1-10000110000000000000000000000000000
χ65666-3-6-6-3-3-3006-60033-3-33322-2-200000000000000-22-1-111-1-10000110000000000000000000000000000
χ66666-3-6-6-3-3-300-66003333-3-322-2-2000000000000002-2-1-1-1-1110000110000000000000000000000000000
χ6766-666-6-6-660000006-60000-22-220000000000000000-2200000000-220000000000000000000000000000
χ6866-66-66-6-66000000-6600002-2-2200000000000000002-200000000-220000000000000000000000000000
χ6966-6-36-633-3000000-33−3i33i3−3i33i3-22-2200000000000000001-1i3−i3i3−i300001-10000000000000000000000000000
χ7066-6-36-633-3000000-333i3−3i33i3−3i3-22-2200000000000000001-1−i3i3−i3i300001-10000000000000000000000000000
χ7166-6-3-6633-30000003-3−3i33i33i3−3i32-2-220000000000000000-11i3−i3−i3i300001-10000000000000000000000000000
χ7266-6-3-6633-30000003-33i3−3i3−3i33i32-2-220000000000000000-11−i3i3i3−i300001-10000000000000000000000000000
χ738-8080000-8-4-400440000000000-4-4000000440000000000000000000000000000000000000000000000
χ748-8080000-82+2i32−2i300−2−2i3−2+2i300000000002+2i32−2i3000000−2−2i3−2+2i30000000000000000000000000000000000000000000000
χ758-8080000-82−2i32+2i300−2+2i3−2−2i300000000002−2i32+2i3000000−2+2i3−2−2i30000000000000000000000000000000000000000000000
χ768-80-400−4i34i34-4-4004400000000002200−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000
χ778-80-400−4i34i342+2i32−2i300−2−2i3−2+2i30000000000−1−i3−1+i300−3+i33−i33+i3−3−i31+i31−i30000000000000000000000000000000000000000000000
χ788-80-400−4i34i342−2i32+2i300−2+2i3−2−2i30000000000−1+i3−1−i3003+i3−3−i3−3+i33−i31−i31+i30000000000000000000000000000000000000000000000
χ798-80-4004i3−4i34-4-40044000000000022002i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000
χ808-80-4004i3−4i342+2i32−2i300−2−2i3−2+2i30000000000−1−i3−1+i3003−i3−3+i3−3−i33+i31+i31−i30000000000000000000000000000000000000000000000
χ818-80-4004i3−4i342−2i32+2i300−2+2i3−2−2i30000000000−1+i3−1−i300−3−i33+i33−i3−3+i31−i31+i30000000000000000000000000000000000000000000000

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