Finite Group Databasebeta

← Group #11757812

Character table — Group #11757812

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111333333339999993339999999927272727272744412121212121212123636363636364441212121212121212363636363636
order13333999999999999266661818181818181818181818183333399999999999933333999999999999
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ511111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ611111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ711111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ811111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ911111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ10333−3+3i32−3−3i32000000000000333−3+3i32−3−3i32000000000000333−3+3i32−3−3i32000000000000333−3+3i32−3−3i32000000000000
χ11333−3−3i32−3+3i32000000000000333−3−3i32−3+3i32000000000000333−3−3i32−3+3i32000000000000333−3−3i32−3+3i32000000000000
χ123−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000003−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000003−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000003−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000
χ133−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000003−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000003−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000003−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000
χ143−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000003−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000003−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000003−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000
χ153−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000003−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000003−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000003−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000
χ163−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000003−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000003−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000003−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000
χ173−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000003−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000003−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000003−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000
χ181111111111111111111111111111111111−1+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
χ1911111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+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−i32111−1−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
χ2011111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−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+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+i32−1+i32−1+i32111
χ2111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32
χ2211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−1+i32−1−i32−1+i32−1−i321
χ2311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1−i32
χ2411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i321
χ2511111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1+i321−1−i32
χ2611111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i321−1−i321−1−i32−1+i32
χ27333−3+3i32−3−3i32000000000000333−3+3i32−3−3i32000000000000−3+3i32−3+3i32−3+3i32−3−3i323000000000000−3−3i32−3−3i32−3−3i323−3+3i32000000000000
χ28333−3−3i32−3+3i32000000000000333−3−3i32−3+3i32000000000000−3+3i32−3+3i32−3+3i323−3−3i32000000000000−3−3i32−3−3i32−3−3i32−3+3i323000000000000
χ293−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000003−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000−3+3i32−3−3i32300−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000−3−3i323−3+3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000
χ303−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000003−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000−3+3i32−3−3i32300ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−3−3i323−3+3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000
χ313−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000003−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−3+3i32−3−3i32300ζ−ζ4−2ζ−ζ4ζ+2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000−3−3i323−3+3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000
χ323−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000003−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000−3+3i323−3−3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000−3−3i32−3+3i32300−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000
χ333−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000003−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000−3+3i323−3−3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000−3−3i32−3+3i323002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000
χ343−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000003−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000−3+3i323−3−3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000−3−3i32−3+3i32300−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000
χ351111111111111111111111111111111111−1−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
χ3611111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+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−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−i32−1−i32−1−i32111
χ3711111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−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+i32111−1+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
χ3811111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i321
χ3911111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i321−1+i321−1+i32−1−i32
χ4011111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1−i321−1+i32
χ4111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32
χ4211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1+i32
χ4311111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−1−i32−1+i32−1−i32−1+i321
χ44333−3+3i32−3−3i32000000000000333−3+3i32−3−3i32000000000000−3−3i32−3−3i32−3−3i323−3+3i32000000000000−3+3i32−3+3i32−3+3i32−3−3i323000000000000
χ45333−3−3i32−3+3i32000000000000333−3−3i32−3+3i32000000000000−3−3i32−3−3i32−3−3i32−3+3i323000000000000−3+3i32−3+3i32−3+3i323−3−3i32000000000000
χ463−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000003−3+3i32−3−3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000−3−3i323−3+3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−3+3i32−3−3i32300−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000
χ473−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000003−3+3i32−3−3i3200ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000−3−3i323−3+3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000−3+3i32−3−3i32300ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000
χ483−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000003−3+3i32−3−3i3200−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000−3−3i323−3+3i3200ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000−3+3i32−3−3i32300ζ−ζ4−2ζ−ζ4ζ+2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000
χ493−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000003−3−3i32−3+3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000−3−3i32−3+3i32300−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000−3+3i323−3−3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000
χ503−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000003−3−3i32−3+3i3200−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000−3−3i32−3+3i323002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000−3+3i323−3−3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000
χ513−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000003−3−3i32−3+3i3200−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000−3−3i32−3+3i32300−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000−3+3i323−3−3i32002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000
χ5233333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5333333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i320000000000000000000000000000000000
χ5433333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i320000000000000000000000000000000000
χ5533333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i320000000000000000000000000000000000
χ5633333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321+i32-11+i32-11−i320000000000000000000000000000000000
χ5733333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323-1-1-1-1-11−i321−i321−i321+i321+i321+i321+i32-11−i321−i321+i32-10000000000000000000000000000000000
χ5833333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i320000000000000000000000000000000000
χ5933333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323-1-1-1-1-11+i321+i321+i321−i321−i321−i321−i32-11+i321+i321−i32-10000000000000000000000000000000000
χ6033333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321−i32-11−i32-11+i320000000000000000000000000000000000
χ61999−9+9i32−9−9i32000000000000-3-3-33−3i323+3i320000000000000000000000000000000000000000000000
χ62999−9−9i32−9+9i32000000000000-3-3-33+3i323−3i320000000000000000000000000000000000000000000000
χ639−9+9i32−9−9i32003ζ+6ζ43ζ−3ζ4−6ζ−3ζ46ζ2+3ζ5−3ζ2+3ζ5−3ζ2−6ζ5000000-33−3i323+3i3200−ζ−2ζ4−ζ+ζ42ζ+ζ4−2ζ2−ζ5ζ2−ζ5ζ2+2ζ50000000000000000000000000000000000000000
χ649−9+9i32−9−9i32003ζ−3ζ4−6ζ−3ζ43ζ+6ζ4−3ζ2+3ζ5−3ζ2−6ζ56ζ2+3ζ5000000-33−3i323+3i3200−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ50000000000000000000000000000000000000000
χ659−9+9i32−9−9i3200−6ζ−3ζ43ζ+6ζ43ζ−3ζ4−3ζ2−6ζ56ζ2+3ζ5−3ζ2+3ζ5000000-33−3i323+3i32002ζ+ζ4−ζ−2ζ4−ζ+ζ4ζ2+2ζ5−2ζ2−ζ5ζ2−ζ50000000000000000000000000000000000000000
χ669−9−9i32−9+9i32006ζ2+3ζ5−3ζ2+3ζ5−3ζ2−6ζ53ζ−3ζ4−6ζ−3ζ43ζ+6ζ4000000-33+3i323−3i3200−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5−ζ+ζ42ζ+ζ4−ζ−2ζ40000000000000000000000000000000000000000
χ679−9−9i32−9+9i3200−3ζ2+3ζ5−3ζ2−6ζ56ζ2+3ζ5−6ζ−3ζ43ζ+6ζ43ζ−3ζ4000000-33+3i323−3i3200ζ2−ζ5ζ2+2ζ5−2ζ2−ζ52ζ+ζ4−ζ−2ζ4−ζ+ζ40000000000000000000000000000000000000000
χ689−9−9i32−9+9i3200−3ζ2−6ζ56ζ2+3ζ5−3ζ2+3ζ53ζ+6ζ43ζ−3ζ4−6ζ−3ζ4000000-33+3i323−3i3200ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−ζ−2ζ4−ζ+ζ42ζ+ζ40000000000000000000000000000000000000000

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