Finite Group Databasebeta

← Group #13141210

Character table — Group #13141210

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111333344444466666666612121212121212121212121212121212121212121212242424242424242424484848484848484848484848484848484848484848484848
order123366991818226666266181818181818246612121818181818181818181836363636363641212363636363636336666669999181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111−1+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
χ311111111111111111111111111111111111111111111111111111111−1−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
χ41111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-1
χ51111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32
χ61111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32
χ7111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−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−i32−1−i32
χ8111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32111−1+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−i3211−1+i32−1−i321−1−i32−1−i32111−1+i3211−1+i32−1+i32
χ9111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32111−1+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+i321−1+i32−1−i3211−1+i3211−1+i32−1+i32−1−i321−1−i32−1−i3211
χ10111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ11111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1−i3211−1+i32−1−i3211+i321+i32-1-11−1+i32-1-11−i321−i32
χ12111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1+i32−1−i3211−1+i32-1-11−i321−i32−1−i3211+i321+i32-1-1
χ13111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+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+i32−1+i32
χ14111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32111−1−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−i321−1−i32−1+i3211−1−i3211−1−i32−1−i32−1+i321−1+i32−1+i3211
χ15111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32111−1−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+i3211−1−i32−1+i321−1+i32−1+i32111−1−i3211−1−i32−1−i32
χ16111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ17111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1−i32−1+i3211−1−i32-1-11+i321+i32−1+i3211−i321−i32-1-1
χ18111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1+i3211−1−i32−1+i3211−i321−i32-1-11−1−i32-1-11+i321+i32
χ193333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ203333333333-3-3-3-3-3-3333333333-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3-1-1-1-1-1-1111111111000000000000000000000000
χ21333333−3+3i32−3−3i32−3+3i32−3−3i32333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000
χ22333333−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3-3-3333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i323−3i323−3i323+3i323+3i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000
χ23333333−3−3i32−3+3i32−3−3i32−3+3i32333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000
χ24333333−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3-3-3333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i323+3i323+3i323−3i323−3i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000
χ2533−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i3200000033−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i32000000000000000000000000000000
χ2633−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ2ζ42ζ72ζ22ζ52ζ800002ζ2ζ42ζ72ζ22ζ52ζ8-11−i321+i322ζ2ζ42ζ72ζ22ζ52ζ8000000000000000000000000
χ2733−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ42ζ72ζ2ζ82ζ22ζ500002ζ42ζ72ζ2ζ82ζ22ζ5-11−i321+i322ζ42ζ72ζ2ζ82ζ22ζ5000000000000000000000000
χ2833−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ72ζ2ζ42ζ52ζ82ζ200002ζ72ζ2ζ42ζ52ζ82ζ2-11−i321+i322ζ72ζ2ζ42ζ52ζ82ζ2000000000000000000000000
χ2933−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i3200000033−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i32000000000000000000000000000000
χ3033−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ2ζ42ζ72ζ22ζ52ζ800002ζ2ζ42ζ72ζ22ζ52ζ81−1+i32−1−i32−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ8000000000000000000000000
χ3133−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ42ζ72ζ2ζ82ζ22ζ500002ζ42ζ72ζ2ζ82ζ22ζ51−1+i32−1−i32−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ5000000000000000000000000
χ3233−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ72ζ2ζ42ζ52ζ82ζ200002ζ72ζ2ζ42ζ52ζ82ζ21−1+i32−1−i32−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ2000000000000000000000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i3200000033−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i32000000000000000000000000000000
χ3433−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ22ζ82ζ52ζ42ζ2ζ700002ζ22ζ82ζ52ζ42ζ2ζ7-11+i321−i322ζ22ζ82ζ52ζ42ζ2ζ7000000000000000000000000
χ3533−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ52ζ22ζ82ζ2ζ72ζ400002ζ52ζ22ζ82ζ2ζ72ζ4-11+i321−i322ζ52ζ22ζ82ζ2ζ72ζ4000000000000000000000000
χ3633−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ82ζ52ζ22ζ72ζ42ζ00002ζ82ζ52ζ22ζ72ζ42ζ-11+i321−i322ζ82ζ52ζ22ζ72ζ42ζ000000000000000000000000
χ3733−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i3200000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i32000000000000000000000000000000
χ3833−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ22ζ82ζ52ζ42ζ2ζ700002ζ22ζ82ζ52ζ42ζ2ζ71−1−i32−1+i32−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ7000000000000000000000000
χ3933−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ52ζ22ζ82ζ2ζ72ζ400002ζ52ζ22ζ82ζ2ζ72ζ41−1−i32−1+i32−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ4000000000000000000000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ82ζ52ζ22ζ72ζ42ζ00002ζ82ζ52ζ22ζ72ζ42ζ1−1−i32−1+i32−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ000000000000000000000000
χ414-444-4-444-4-42-22-22-20000000000000000000002-22-200000000000000011-11-1-11-11111-1-11-11-1-1-11-11-1
χ424-444-4-444-4-42-22-22-20000000000000000000002-22-2000000000000000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i321−i32−1+i321−i321+i321+i32−1−i321+i32−1−i321+i32
χ434-444-4-444-4-42-22-22-20000000000000000000002-22-2000000000000000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i321+i32−1−i321+i321−i321−i32−1+i321−i32−1+i321−i32
χ444-444-4-444-4-4-22-22-22000000000000000000000-22-2200000000000000011-1-11-1-111111-1-1-11-11-1-1-11-11
χ454-444-4-444-4-4-22-22-22000000000000000000000-22-22000000000000000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i32−1−i32
χ464-444-4-444-4-4-22-22-22000000000000000000000-22-22000000000000000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i32−1+i32
χ474-444-4-4−2+2i3−2−2i32−2i32+2i32-22-22-2000000000000000000000−1+i31−i3−1−i31+i300000000000000011-11-1-11-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i32
χ484-444-4-4−2+2i3−2−2i32−2i32+2i32-22-22-2000000000000000000000−1+i31−i3−1−i31+i3000000000000000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1−i3211−1+i321+i32-1−1−i321+i321-1-11−i321-1−1+i321−i32
χ494-444-4-4−2+2i3−2−2i32−2i32+2i32-22-22-2000000000000000000000−1+i31−i3−1−i31+i3000000000000000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1+i32−1−i321-11−i321-1−1+i321−i321+i32-1−1−i321+i321-1
χ504-444-4-4−2+2i3−2−2i32−2i32+2i3-22-22-220000000000000000000001−i3−1+i31+i3−1−i300000000000000011-1-11-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ514-444-4-4−2+2i3−2−2i32−2i32+2i3-22-22-220000000000000000000001−i3−1+i31+i3−1−i3000000000000000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1−i3211−1+i321+i32-11+i32−1−i32-11-11−i32-111−i32−1+i32
χ524-444-4-4−2+2i3−2−2i32−2i32+2i3-22-22-220000000000000000000001−i3−1+i31+i3−1−i3000000000000000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1+i32−1−i321-11−i32-111−i32−1+i321+i32-11+i32−1−i32-11
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χ584-444-4-4−2−2i3−2+2i32+2i32−2i3-22-22-220000000000000000000001+i3−1−i31−i3−1+i3000000000000000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1+i3211−1−i321−i32-11−i32−1+i32-11-11+i32-111+i32−1−i32
χ596666666666000000-2-2-2-2-2-2-2-2-22-222-2-22222220000-2-2-2-2-2-2000000000000000000000000000000000
χ606666666666000000-2-2-2-2-2-2-2-2-2-22-2-222-2-2-2-2-2-20000222222000000000000000000000000000000000
χ61666666−3+3i3−3−3i3−3+3i3−3−3i3000000-2-2-21−i31−i31−i31+i31+i31+i32-222-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300001−i31−i31−i31+i31+i31+i3000000000000000000000000000000000
χ62666666−3+3i3−3−3i3−3+3i3−3−3i3000000-2-2-21−i31−i31−i31+i31+i31+i3-22-2-2221−i31−i31−i31+i31+i31+i30000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000000000000000000
χ63666666−3−3i3−3+3i3−3−3i3−3+3i3000000-2-2-21+i31+i31+i31−i31−i31−i32-222-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300001+i31+i31+i31−i31−i31−i3000000000000000000000000000000000
χ64666666−3−3i3−3+3i3−3−3i3−3+3i3000000-2-2-21+i31+i31+i31−i31−i31−i3-22-2-2221+i31+i31+i31−i31−i31−i30000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000000000000000000
χ6566−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ4ζ44ζ74ζ24ζ54ζ82-2−1+i3−1−i31−i31+i32ζ2ζ42ζ72ζ22ζ52ζ80000−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ8000000000000000000000000000000000
χ6666−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ4ζ44ζ74ζ24ζ54ζ8-221−i31+i3−1+i3−1−i3−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ800002ζ2ζ42ζ72ζ22ζ52ζ8000000000000000000000000000000000
χ6766−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ44ζ74ζ4ζ84ζ24ζ52-2−1+i3−1−i31−i31+i32ζ42ζ72ζ2ζ82ζ22ζ50000−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ5000000000000000000000000000000000
χ6866−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ44ζ74ζ4ζ84ζ24ζ5-221−i31+i3−1+i3−1−i3−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ500002ζ42ζ72ζ2ζ82ζ22ζ5000000000000000000000000000000000
χ6966−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ74ζ4ζ44ζ54ζ84ζ22-2−1+i3−1−i31−i31+i32ζ72ζ2ζ42ζ52ζ82ζ20000−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ2000000000000000000000000000000000
χ7066−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ74ζ4ζ44ζ54ζ84ζ2-221−i31+i3−1+i3−1−i3−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ200002ζ72ζ2ζ42ζ52ζ82ζ2000000000000000000000000000000000
χ7166−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ24ζ84ζ54ζ44ζ4ζ72-2−1−i3−1+i31+i31−i32ζ22ζ82ζ52ζ42ζ2ζ70000−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ7000000000000000000000000000000000
χ7266−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ24ζ84ζ54ζ44ζ4ζ7-221+i31−i3−1−i3−1+i3−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ700002ζ22ζ82ζ52ζ42ζ2ζ7000000000000000000000000000000000
χ7366−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ54ζ24ζ84ζ4ζ74ζ42-2−1−i3−1+i31+i31−i32ζ52ζ22ζ82ζ2ζ72ζ40000−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ4000000000000000000000000000000000
χ7466−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ54ζ24ζ84ζ4ζ74ζ4-221+i31−i3−1−i3−1+i3−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ400002ζ52ζ22ζ82ζ2ζ72ζ4000000000000000000000000000000000
χ7566−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ84ζ54ζ24ζ74ζ44ζ2-2−1−i3−1+i31+i31−i32ζ82ζ52ζ22ζ72ζ42ζ0000−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ000000000000000000000000000000000
χ7666−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ84ζ54ζ24ζ74ζ44ζ-221+i31−i3−1−i3−1+i3−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ00002ζ82ζ52ζ22ζ72ζ42ζ000000000000000000000000000000000
χ7712-12−6+6i3−6−6i36−6i36+6i300006-6−3+3i33−3i3−3−3i33+3i30000000000000000000000000000000000000000000000000000000000000000
χ7812-12−6+6i3−6−6i36−6i36+6i30000-663−3i3−3+3i33+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000
χ7912-12−6−6i3−6+6i36+6i36−6i300006-6−3−3i33+3i3−3+3i33−3i30000000000000000000000000000000000000000000000000000000000000000
χ8012-12−6−6i3−6+6i36+6i36−6i30000-663+3i3−3−3i33−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000

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