Finite Group Databasebeta

← Group #13049277

Character table — Group #13049277

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size122223333366666666666666242424242424242424545454545454122223333366666666666666242424242424242424545454545454
order139992336666699181818181818181818333999999246612122618181826666666181818181818181818181866618181818181824661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ3111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ4111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ5111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ6111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ7222222222222222222222222-1-1-1-1-1-1-1-1-1000000222222222222222222222222-1-1-1-1-1-1-1-1-1000000
χ8222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32000000222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32000000
χ9222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32000000222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32000000
χ1022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ1122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-100000022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-1000000
χ1222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-1200000022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12000000
χ1322-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i3-1-11−i321−i321+i321+i3200000022-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i3-1-11−i321−i321+i321+i32000000
χ1422-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i322-1−1+i31−i32−1−i31+i3200000022-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i322-1−1+i31−i32−1−i31+i32000000
χ1522-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-121−i32−1+i31+i32−1−i300000022-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-121−i32−1+i31+i32−1−i3000000
χ1622-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i3-1-11+i321+i321−i321−i3200000022-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i3-1-11+i321+i321−i321−i32000000
χ1722-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i322-1−1−i31+i32−1+i31−i3200000022-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i322-1−1−i31+i32−1+i31−i32000000
χ1822-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-121+i32−1−i31−i32−1+i300000022-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-121+i32−1−i31−i32−1+i3000000
χ1933333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-10000000001-111-1-133333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-10000000001-111-1-1
χ2033333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-1000000000-11-1-11133333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-1000000000-11-1-111
χ2133333-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000000001-1−1+i32−1−i321−i321+i3233333-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000000001-1−1+i32−1−i321−i321+i32
χ2233333-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000-111−i321+i32−1+i32−1−i3233333-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000-111−i321+i32−1+i32−1−i32
χ2333333-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i320000000001-1−1−i32−1+i321+i321−i3233333-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i320000000001-1−1−i32−1+i321+i321−i32
χ2433333-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000-111+i321−i32−1−i32−1+i3233333-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000-111+i321−i32−1−i32−1+i32
χ2566-3-3-3-266-2-2-2-2-2-3-311111111100000000000000066-3-3-3-266-2-2-2-2-2-3-3111111111000000000000000
χ2666-3-3-3-2−3+3i3−3−3i31−i31+i3-21−i31+i33−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000000066-3-3-3-2−3+3i3−3−3i31−i31+i3-21−i31+i33−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000
χ2766-3-3-3-2−3−3i3−3+3i31+i31−i3-21+i31−i33+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000066-3-3-3-2−3−3i3−3+3i31+i31−i3-21+i31−i33+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000
χ286-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560000-300003ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560000-300003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000
χ296-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200441-2-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ50000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200441-2-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000000
χ306-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200−2+2i3−2−2i311−i31+i300−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ2+2ζ42ζ+2ζ52ζ7+2ζ82ζ5+2ζ72ζ4+2ζ82ζ+2ζ20000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200−2+2i3−2−2i311−i31+i300−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ2+2ζ42ζ+2ζ52ζ7+2ζ82ζ5+2ζ72ζ4+2ζ82ζ+2ζ2000000000000000
χ316-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200−2−2i3−2+2i311+i31−i300−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ5+2ζ72ζ4+2ζ82ζ+2ζ22ζ2+2ζ42ζ+2ζ52ζ7+2ζ80000000000000006-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200−2−2i3−2+2i311+i31−i300−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ5+2ζ72ζ4+2ζ82ζ+2ζ22ζ2+2ζ42ζ+2ζ52ζ7+2ζ8000000000000000
χ326-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860000-300003ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860000-300003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000
χ336-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200441-2-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ80000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200441-2-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000000
χ346-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200−2+2i3−2−2i311−i31+i300−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ+2ζ52ζ7+2ζ82ζ2+2ζ42ζ4+2ζ82ζ+2ζ22ζ5+2ζ70000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200−2+2i3−2−2i311−i31+i300−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ+2ζ52ζ7+2ζ82ζ2+2ζ42ζ4+2ζ82ζ+2ζ22ζ5+2ζ7000000000000000
χ356-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200−2−2i3−2+2i311+i31−i300−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ4+2ζ82ζ+2ζ22ζ5+2ζ72ζ+2ζ52ζ7+2ζ82ζ2+2ζ40000000000000006-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200−2−2i3−2+2i311+i31−i300−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ4+2ζ82ζ+2ζ22ζ5+2ζ72ζ+2ζ52ζ7+2ζ82ζ2+2ζ4000000000000000
χ366-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760000-300003ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760000-300003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000
χ376-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200441-2-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ70000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200441-2-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000
χ386-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200−2+2i3−2−2i311−i31+i300−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ7+2ζ82ζ2+2ζ42ζ+2ζ52ζ+2ζ22ζ5+2ζ72ζ4+2ζ80000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200−2+2i3−2−2i311−i31+i300−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ7+2ζ82ζ2+2ζ42ζ+2ζ52ζ+2ζ22ζ5+2ζ72ζ4+2ζ8000000000000000
χ396-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200−2−2i3−2+2i311+i31−i300−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ+2ζ22ζ5+2ζ72ζ4+2ζ82ζ7+2ζ82ζ2+2ζ42ζ+2ζ50000000000000006-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200−2−2i3−2+2i311+i31−i300−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ+2ζ22ζ5+2ζ72ζ4+2ζ82ζ7+2ζ82ζ2+2ζ42ζ+2ζ5000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ42111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321+i321−i321+i32
χ43111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ44111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321−i321+i321−i32
χ45111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ46222222222222222222222222-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111000000
χ47222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32000000-2-2-2-2-2-21−i31+i31−i31+i3-21−i31+i31−i31+i3-2-2-21−i31−i31−i31+i31+i31+i31−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000
χ48222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32000000-2-2-2-2-2-21+i31−i31+i31−i3-21+i31−i31+i31−i3-2-2-21+i31+i31+i31−i31−i31−i31−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000
χ4922-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000-2-2111-2-2-2-2-2-2-2-211111111111-2-2-2111111000000
χ5022-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-1000000-2-2111-2-2-2-2-2-2-2-211111111111111-21-21-21000000
χ5122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12000000-2-2111-2-2-2-2-2-2-2-2111111111111111-21-21-2000000
χ5222-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i3-1-11−i321−i321+i321+i32000000-2-2111-21−i31+i31−i31+i3-21−i31+i3−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-21−i31+i311−1+i32−1+i32−1−i32−1−i32000000
χ5322-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i322-1−1+i31−i32−1−i31+i32000000-2-2111-21−i31+i31−i31+i3-21−i31+i3−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-211−i3−1+i321+i3−1−i32000000
χ5422-1-1-12−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-121−i32−1+i31+i32−1−i3000000-2-2111-21−i31+i31−i31+i3-21−i31+i3−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321-2−1+i321−i3−1−i321+i3000000
χ5522-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i3-1-11+i321+i321−i321−i32000000-2-2111-21+i31−i31+i31−i3-21+i31−i3−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-21+i31−i311−1−i32−1−i32−1+i32−1+i32000000
χ5622-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i322-1−1−i31+i32−1+i31−i32000000-2-2111-21+i31−i31+i31−i3-21+i31−i3−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-211+i3−1−i321−i3−1+i32000000
χ5722-1-1-12−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-121+i32−1−i31−i32−1+i3000000-2-2111-21+i31−i31+i31−i3-21+i31−i3−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321-2−1−i321+i3−1+i321−i3000000
χ5833333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-10000000001-111-1-1-3-3-3-3-31-3-311111-3-3111111111000000000-11-1-111
χ5933333-133-1-1-1-1-133-1-1-1-1-1-1-1-1-1000000000-11-1-111-3-3-3-3-31-3-311111-3-31111111110000000001-111-1-1
χ6033333-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000000001-1−1+i32−1−i321−i321+i32-3-3-3-3-313−3i323+3i32−1+i32−1−i321−1+i32−1−i323−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000-111−i321+i32−1+i32−1−i32
χ6133333-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000-111−i321+i32−1+i32−1−i32-3-3-3-3-313−3i323+3i32−1+i32−1−i321−1+i32−1−i323−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000000001-1−1+i32−1−i321−i321+i32
χ6233333-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i320000000001-1−1−i32−1+i321+i321−i32-3-3-3-3-313+3i323−3i32−1−i32−1+i321−1−i32−1+i323+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000-111+i321−i32−1−i32−1+i32
χ6333333-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000-111+i321−i32−1−i32−1+i32-3-3-3-3-313+3i323−3i32−1−i32−1+i321−1−i32−1+i323+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000000001-1−1−i32−1+i321+i321−i32
χ6466-3-3-3-266-2-2-2-2-2-3-3111111111000000000000000-6-63332-6-62222233-1-1-1-1-1-1-1-1-1000000000000000
χ6566-3-3-3-2−3+3i3−3−3i31−i31+i3-21−i31+i33−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000-6-633323−3i33+3i3−1+i3−1−i32−1+i3−1−i3−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000
χ6666-3-3-3-2−3−3i3−3+3i31+i31−i3-21+i31−i33+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000-6-633323+3i33−3i3−1−i3−1+i32−1−i3−1+i3−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000
χ676-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560000-300003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5-6000030000−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5000000000000000000000
χ686-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200441-2-200−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ5200-4-4-12200ζ+ζ8ζ2+ζ7ζ4+ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5000000000000000
χ696-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200−2+2i3−2−2i311−i31+i300−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ2+2ζ42ζ+2ζ52ζ7+2ζ82ζ5+2ζ72ζ4+2ζ82ζ+2ζ2000000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ52002−2i32+2i3-1−1+i3−1−i300ζ+ζ8ζ2+ζ7ζ4+ζ5−2ζ2−2ζ4−2ζ−2ζ5−2ζ7−2ζ8−2ζ5−2ζ7−2ζ4−2ζ8−2ζ−2ζ2000000000000000
χ706-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5-200−2−2i3−2+2i311+i31−i300−ζ−ζ8−ζ2−ζ7−ζ4−ζ52ζ5+2ζ72ζ4+2ζ82ζ+2ζ22ζ2+2ζ42ζ+2ζ52ζ7+2ζ8000000000000000-63−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ52002+2i32−2i3-1−1−i3−1+i300ζ+ζ8ζ2+ζ7ζ4+ζ5−2ζ5−2ζ7−2ζ4−2ζ8−2ζ−2ζ2−2ζ2−2ζ4−2ζ−2ζ5−2ζ7−2ζ8000000000000000
χ716-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860000-300003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8-6000030000−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8000000000000000000000
χ726-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200441-2-200−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ8200-4-4-12200ζ2+ζ7ζ4+ζ5ζ+ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8000000000000000
χ736-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200−2+2i3−2−2i311−i31+i300−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ+2ζ52ζ7+2ζ82ζ2+2ζ42ζ4+2ζ82ζ+2ζ22ζ5+2ζ7000000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ82002−2i32+2i3-1−1+i3−1−i300ζ2+ζ7ζ4+ζ5ζ+ζ8−2ζ−2ζ5−2ζ7−2ζ8−2ζ2−2ζ4−2ζ4−2ζ8−2ζ−2ζ2−2ζ5−2ζ7000000000000000
χ746-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8-200−2−2i3−2+2i311+i31−i300−ζ2−ζ7−ζ4−ζ5−ζ−ζ82ζ4+2ζ82ζ+2ζ22ζ5+2ζ72ζ+2ζ52ζ7+2ζ82ζ2+2ζ4000000000000000-63−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ82002+2i32−2i3-1−1−i3−1+i300ζ2+ζ7ζ4+ζ5ζ+ζ8−2ζ4−2ζ8−2ζ−2ζ2−2ζ5−2ζ7−2ζ−2ζ5−2ζ7−2ζ8−2ζ2−2ζ4000000000000000
χ756-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760000-300003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7-6000030000−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7000000000000000000000
χ766-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200441-2-200−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ7200-4-4-12200ζ4+ζ5ζ+ζ8ζ2+ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7000000000000000
χ776-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200−2+2i3−2−2i311−i31+i300−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ7+2ζ82ζ2+2ζ42ζ+2ζ52ζ+2ζ22ζ5+2ζ72ζ4+2ζ8000000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ72002−2i32+2i3-1−1+i3−1−i300ζ4+ζ5ζ+ζ8ζ2+ζ7−2ζ7−2ζ8−2ζ2−2ζ4−2ζ−2ζ5−2ζ−2ζ2−2ζ5−2ζ7−2ζ4−2ζ8000000000000000
χ786-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7-200−2−2i3−2+2i311+i31−i300−ζ4−ζ5−ζ−ζ8−ζ2−ζ72ζ+2ζ22ζ5+2ζ72ζ4+2ζ82ζ7+2ζ82ζ2+2ζ42ζ+2ζ5000000000000000-63−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ72002+2i32−2i3-1−1−i3−1+i300ζ4+ζ5ζ+ζ8ζ2+ζ7−2ζ−2ζ2−2ζ5−2ζ7−2ζ4−2ζ8−2ζ7−2ζ8−2ζ2−2ζ4−2ζ−2ζ5000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.