Finite Group Databasebeta

← Group #11921278

Character table — Group #11921278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444666688888888888888121212121212121212121212121216161616161616161616161616161616363636364848484848484848
order122223666334466661212121244443366666666666624444412121212121212126666121212121212121212121212244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111−1−i32−1+i321111−1−i32−1+i3211111111−1−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+i321111−1−i32−1+i3211111111−1−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+i32-1-111-1-111111111−1−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+i32-1-111−1−i32−1+i32-1-1-1-11111−1−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+i3211-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+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+i32-1-111−1−i32−1+i32-1-1-1-11111−1−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+i32-1-1-1-111-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+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−i321111−1+i32−1−i3211111111−1+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−i321111−1+i32−1−i3211111111−1+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−i32-1-111-1-111111111−1+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−i32-1-111−1+i32−1−i32-1-1-1-11111−1+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−i3211-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−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−i32-1-111−1+i32−1−i32-1-1-1-11111−1+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−i32-1-1-1-111-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ13111-1-11-1-1111i−i1-111ii−i−i11-1-1111111-1-1-1-1-1-1-1-11-1i−ii−iii−i−i11-1-11-11-1iii−i−i−iiii−i−i−i-11i−i11-1-1i−ii−i
χ14111-1-11-1-1111i−i1-111ii−i−i11-1-1111111-1-1-1-1-1-1-1-1-11i−i−iiii−i−i11-1-11-11-1iii−i−i−iiii−i−i−i1-1−ii-1-111−ii−ii
χ15111-1-11-1-1111−ii1-111−i−iii11-1-1111111-1-1-1-1-1-1-1-11-1−ii−ii−i−iii11-1-11-11-1−i−i−iiii−i−i−iiii-11−ii11-1-1−ii−ii
χ16111-1-11-1-1111−ii1-111−i−iii11-1-1111111-1-1-1-1-1-1-1-1-11−iii−i−i−iii11-1-11-11-1−i−i−iiii−i−i−iiii1-1i−i-1-111i−ii−i
χ17111-1-11-1-11−1−i32−1+i32i−i1-1−1−i32−1+i32ii−i−i11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i321-1i−ii−iii−i−i11-1-1−1−i321+i32−1+i321−i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7-11i−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ18111-1-11-1-11−1−i32−1+i32i−i1-1−1−i32−1+i32ii−i−i11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i32-11i−i−iiii−i−i11-1-1−1−i321+i32−1+i321−i32ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ71-1−ii1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7
χ19111-1-11-1-11−1−i32−1+i32−ii1-1−1−i32−1+i32−i−iii11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i321-1−ii−ii−i−iii11-1-1−1−i321+i32−1+i321−i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7-11−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ20111-1-11-1-11−1−i32−1+i32−ii1-1−1−i32−1+i32−i−iii11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321−i32-11−iii−i−i−iii11-1-1−1−i321+i32−1+i321−i32−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ71-1i−i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7
χ21111-1-11-1-11−1+i32−1−i32i−i1-1−1+i32−1−i32ii−i−i11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i321-1i−ii−iii−i−i11-1-1−1+i321−i32−1−i321+i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11-11i−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ22111-1-11-1-11−1+i32−1−i32i−i1-1−1+i32−1−i32ii−i−i11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i32-11i−i−iiii−i−i11-1-1−1+i321−i32−1−i321+i32ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ111-1−ii1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11
χ23111-1-11-1-11−1+i32−1−i32−ii1-1−1+i32−1−i32−i−iii11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i321-1−ii−ii−i−iii11-1-1−1+i321−i32−1−i321+i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11-11−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11
χ24111-1-11-1-11−1+i32−1−i32−ii1-1−1+i32−1−i32−i−iii11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321+i32-11−iii−i−i−iii11-1-1−1+i321−i32−1−i321+i32−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ111-1i−i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11
χ2522222-1-1-1-12222-1-122-1-1-1-12222-1-122-1-122-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000
χ2622222-1-1-1-122-2-2-1-12211112222-1-122-1-122-1-1-1-12200-2-2001111-1-1-1-1-1-1-1-1-211-211-211-211000000000000
χ2722222-1-1-1-1−1−i3−1+i322-1-1−1−i3−1+i3-1-1-1-122221+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i3002200-1-1-1-1-1-1-1-11+i321+i321−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000
χ2822222-1-1-1-1−1−i3−1+i3-2-2-1-1−1−i3−1+i3111122221+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i300-2-2001111-1-1-1-11+i321+i321−i321−i321+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000
χ2922222-1-1-1-1−1+i3−1−i322-1-1−1+i3−1−i3-1-1-1-122221−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i3002200-1-1-1-1-1-1-1-11−i321−i321+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000
χ3022222-1-1-1-1−1+i3−1−i3-2-2-1-1−1+i3−1−i3111122221−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i300-2-2001111-1-1-1-11−i321−i321+i321+i321−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000
χ31222-2-2-111-1222i−2i-1122−i−iii22-2-2-1-122-1-1-2-21111-2-2002i−2i00−i−iii-1-111-11-112i−i−i−2iii2i−i−i−2iii000000000000
χ32222-2-2-111-122−2i2i-1122ii−i−i22-2-2-1-122-1-1-2-21111-2-200−2i2i00ii−i−i-1-111-11-11−2iii2i−i−i−2iii2i−i−i000000000000
χ33222-2-2-111-1−1−i3−1+i32i−2i-11−1−i3−1+i3−i−iii22-2-21+i321−i32−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i3002i−2i00−i−iii-1-1111+i32−1−i321−i32−1+i322ζ11−ζ11−ζ11−2ζ11ζ11ζ112ζ7−ζ7−ζ7−2ζ7ζ7ζ7000000000000
χ34222-2-2-111-1−1−i3−1+i3−2i2i-11−1−i3−1+i3ii−i−i22-2-21+i321−i32−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i300−2i2i00ii−i−i-1-1111+i32−1−i321−i32−1+i32−2ζ11ζ11ζ112ζ11−ζ11−ζ11−2ζ7ζ7ζ72ζ7−ζ7−ζ7000000000000
χ35222-2-2-111-1−1+i3−1−i32i−2i-11−1+i3−1−i3−i−iii22-2-21−i321+i32−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i3002i−2i00−i−iii-1-1111−i32−1+i321+i32−1−i322ζ7−ζ7−ζ7−2ζ7ζ7ζ72ζ11−ζ11−ζ11−2ζ11ζ11ζ11000000000000
χ36222-2-2-111-1−1+i3−1−i3−2i2i-11−1+i3−1−i3ii−i−i22-2-21−i321+i32−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i300−2i2i00ii−i−i-1-1111−i32−1+i321+i32−1−i32−2ζ7ζ7ζ72ζ7−ζ7−ζ7−2ζ11ζ11ζ112ζ11−ζ11−ζ11000000000000
χ3722-22-222222200-2-22200002-22-222-2-222222222-2-200000000002-22-2-2-2-2-2000000000000000000000000
χ3822-22-22222−1−i3−1+i300-2-2−1−i3−1+i300002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i300000000002-22-21+i31+i31−i31−i3000000000000000000000000
χ3922-22-22222−1+i3−1−i300-2-2−1+i3−1−i300002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i300000000002-22-21−i31−i31+i31+i3000000000000000000000000
χ4022-22-2-1-1-1-122001122−i3i3−i3i32-22-2-1-1-2-2-1-122-1-1-1-1-2-2000000−i3i3−i3i3-11-1111110−i3i30−i3i30−i3i30−i3i3000000000000
χ4122-22-2-1-1-1-122001122i3−i3i3−i32-22-2-1-1-2-2-1-122-1-1-1-1-2-2000000i3−i3i3−i3-11-1111110i3−i30i3−i30i3−i30i3−i3000000000000
χ4222-22-2-1-1-1-1−1−i3−1+i30011−1−i3−1+i3−i3i3−i3i32-22-21+i321−i321+i31−i31+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31−i3000000−i3i3−i3i3-11-11−1−i32−1−i32−1+i32−1+i320−3+i323−i320−3+i323−i3203+i32−3−i3203+i32−3−i32000000000000
χ4322-22-2-1-1-1-1−1−i3−1+i30011−1−i3−1+i3i3−i3i3−i32-22-21+i321−i321+i31−i31+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31−i3000000i3−i3i3−i3-11-11−1−i32−1−i32−1+i32−1+i3203−i32−3+i3203−i32−3+i320−3−i323+i320−3−i323+i32000000000000
χ4422-22-2-1-1-1-1−1+i3−1−i30011−1+i3−1−i3−i3i3−i3i32-22-21−i321+i321−i31+i31−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31+i3000000−i3i3−i3i3-11-11−1+i32−1+i32−1−i32−1−i3203+i32−3−i3203+i32−3−i320−3+i323−i320−3+i323−i32000000000000
χ4522-22-2-1-1-1-1−1+i3−1−i30011−1+i3−1−i3i3−i3i3−i32-22-21−i321+i321−i31+i31−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31+i3000000i3−i3i3−i3-11-11−1+i32−1+i32−1−i32−1−i320−3−i323+i320−3−i323+i3203−i32−3+i3203−i32−3+i32000000000000
χ4622-2-222-2-222200-222200002-2-2222-2-222-2-2-2-2-2-22200000000002-2-22-22-22000000000000000000000000
χ4722-2-222-2-22−1−i3−1+i300-22−1−i3−1+i300002-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i300000000002-2-221+i3−1−i31−i3−1+i3000000000000000000000000
χ4822-2-222-2-22−1+i3−1−i300-22−1+i3−1−i300002-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i300000000002-2-221−i3−1+i31+i3−1−i3000000000000000000000000
χ4922-2-22-111-122001-1223−3−332-2-22-1-1-2-2-1-1-2-21111220000003−3−33-111-11-11-103−30−3303−30−33000000000000
χ5022-2-22-111-122001-122−333−32-2-22-1-1-2-2-1-1-2-2111122000000−333−3-111-11-11-10−3303−30−3303−3000000000000
χ5122-2-22-111-1−1−i3−1+i3001-1−1−i3−1+i33−3−332-2-221+i321−i321+i31−i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32−1−i3−1+i30000003−3−33-111-1−1−i321+i32−1+i321−i3202ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ110−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ11000000000000
χ5222-2-22-111-1−1−i3−1+i3001-1−1−i3−1+i3−333−32-2-221+i321−i321+i31−i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3000000−333−3-111-1−1−i321+i32−1+i321−i320−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ110ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ11000000000000
χ5322-2-22-111-1−1+i3−1−i3001-1−1+i3−1−i33−3−332-2-221−i321+i321−i31+i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32−1+i3−1−i30000003−3−33-111-1−1+i321−i32−1−i321+i320−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ11000000000000
χ5422-2-22-111-1−1+i3−1−i3001-1−1+i3−1−i3−333−32-2-221−i321+i321−i31+i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3000000−333−3-111-1−1+i321−i32−1−i321+i320ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ11000000000000
χ55333333333003333003333-1-1-1-10000000000000033-1-133-1-1-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ56333333333003333003333-1-1-1-100000000000000-3-3-1-1-3-3-1-1-1-1-1-1-1-10000000000000000111100000000
χ5733333333300-3-33300-3-3-3-3-1-1-1-1000000000000003311-3-31111-1-1-1-10000000000000000-1-11100000000
χ5833333333300-3-33300-3-3-3-3-1-1-1-100000000000000-3-311331111-1-1-1-1000000000000000011-1-100000000
χ59333-3-33-3-33003i−3i3-3003i3i−3i−3i-1-111000000000000003-3−ii3i−3i−i−iii-1-11100000000000000001-1−ii00000000
χ60333-3-33-3-33003i−3i3-3003i3i−3i−3i-1-11100000000000000-33−ii−3i3i−i−iii-1-1110000000000000000-11i−i00000000
χ61333-3-33-3-3300−3i3i3-300−3i−3i3i3i-1-111000000000000003-3i−i−3i3iii−i−i-1-11100000000000000001-1i−i00000000
χ62333-3-33-3-3300−3i3i3-300−3i−3i3i3i-1-11100000000000000-33i−i3i−3iii−i−i-1-1110000000000000000-11−ii00000000
χ6366666-3-3-3-30066-3-300-3-3-3-3-2-2-2-20000000000000000-2-200111111110000000000000000000000000000
χ6466666-3-3-3-300-6-6-3-3003333-2-2-2-200000000000000002200-1-1-1-111110000000000000000000000000000
χ65666-6-6-333-3006i−6i-3300−3i−3i3i3i-2-2220000000000000000−2i2i00ii−i−i11-1-10000000000000000000000000000
χ66666-6-6-333-300−6i6i-33003i3i−3i−3i-2-22200000000000000002i−2i00−i−iii11-1-10000000000000000000000000000
χ6766-66-666660000-6-6000000-22-22000000000000000000000000-22-220000000000000000000000000000
χ6866-66-6-3-3-3-300003300−3i33i3−3i33i3-22-2200000000000000000000i3−i3i3−i31-11-10000000000000000000000000000
χ6966-66-6-3-3-3-3000033003i3−3i33i3−3i3-22-2200000000000000000000−i3i3−i3i31-11-10000000000000000000000000000
χ7066-6-666-6-660000-66000000-222-2000000000000000000000000-222-20000000000000000000000000000
χ7166-6-66-333-300003-30033−33−3333-222-200000000000000000000−333−31-1-110000000000000000000000000000
χ7266-6-66-333-300003-300−333333−33-222-2000000000000000000003−3−331-1-110000000000000000000000000000
χ738-8000800-8-4-400004400000000-4-4004400000000000000000000000000000000000000000000000000
χ748-8000800-82+2i32−2i30000−2−2i3−2+2i3000000002+2i32−2i300−2−2i3−2+2i300000000000000000000000000000000000000000000000000
χ758-8000800-82−2i32+2i30000−2+2i3−2−2i3000000002−2i32+2i300−2+2i3−2−2i300000000000000000000000000000000000000000000000000
χ768-8000-4−4i34i34-4-4000044000000002200-2-200−2i32i3−2i32i300000000000000000000000000000000000000000000
χ778-8000-4−4i34i342+2i32−2i30000−2−2i3−2+2i300000000−1−i3−1+i3001+i31−i300−3+i33−i33+i3−3−i300000000000000000000000000000000000000000000
χ788-8000-4−4i34i342−2i32+2i30000−2+2i3−2−2i300000000−1+i3−1−i3001−i31+i3003+i3−3−i3−3+i33−i300000000000000000000000000000000000000000000
χ798-8000-44i3−4i34-4-4000044000000002200-2-2002i3−2i32i3−2i300000000000000000000000000000000000000000000
χ808-8000-44i3−4i342+2i32−2i30000−2−2i3−2+2i300000000−1−i3−1+i3001+i31−i3003−i3−3+i3−3−i33+i300000000000000000000000000000000000000000000
χ818-8000-44i3−4i342−2i32+2i30000−2+2i3−2−2i300000000−1+i3−1−i3001−i31+i300−3−i33+i33−i3−3+i300000000000000000000000000000000000000000000

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