Finite Group Databasebeta

← Group #13180067

Character table — Group #13180067

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11133333333333333333399999999999999912121212121212121212121212121212121212121212121212121212121212124848484848484848192192192192
order13322222266666666666622222666666666633666666666666666666666666666666991818181818189999
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111111111111111111111111111111−1+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−i3211111111−1+i32−1−i32−1+i32−1−i32
χ5111111111111111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32
χ6111111111111111111111111111111111111−1+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+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321
χ7111111111111111111111111111111111111−1−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+i3211111111−1−i32−1+i32−1−i32−1+i32
χ8111111111111111111111111111111111111−1−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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321
χ9111111111111111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32
χ1033333333-13333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000033-1-1-1-1-1-10000
χ1133333333-13333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000
χ1233333333-13333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000
χ133333-1-1-1-1333-1-1-1-1-1-1-1-1333-1-1-1-133-1-1-1-1-1-1-1-133333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ143333-1-1-1-1333-1-1-1-1-1-1-1-1333-1-1-1-133-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ153333-1-1-1-1333-1-1-1-1-1-1-1-1333-1-1-1-133-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ16333-13-1-1-13-1-133-1-1-1-1-1-133-13-1-1-1-1-133-1-1-1-1-1-133-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1000000000000
χ17333-13-1-1-13-1-133-1-1-1-1-1-133-13-1-1-1-1-133-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ18333-13-1-1-13-1-133-1-1-1-1-1-133-13-1-1-1-1-133-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ19333-1-13-1-13-1-1-1-133-1-1-1-133-1-13-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1000000000000
χ20333-1-13-1-13-1-1-1-133-1-1-1-133-1-13-1-1-1-1-1-133-1-1-1-1−3+3i32−3−3i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000000000
χ21333-1-13-1-13-1-1-1-133-1-1-1-133-1-13-1-1-1-1-1-133-1-1-1-1−3−3i32−3+3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32000000000000
χ22333-1-1-13-13-1-1-1-1-1-133-1-133-1-1-13-1-1-1-1-1-1-133-1-133-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1000000000000
χ23333-1-1-13-13-1-1-1-1-1-133-1-133-1-1-13-1-1-1-1-1-1-133-1-1−3+3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32000000000000
χ24333-1-1-13-13-1-1-1-1-1-133-1-133-1-1-13-1-1-1-1-1-1-133-1-1−3−3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i32000000000000
χ25333-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-13-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-1333000000000000
χ26333-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-13-1-1-1-1-1-1-1-133−3+3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32000000000000
χ27333-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-13-1-1-1-1-1-1-1-133−3−3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32000000000000
χ283−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000
χ293−3+3i32−3−3i3233333-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i321−i321+i32-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000002ζ2ζ42ζ72ζ22ζ52ζ80000
χ303−3+3i32−3−3i3233333-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i321−i321+i32-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000002ζ42ζ72ζ2ζ82ζ22ζ50000
χ313−3+3i32−3−3i3233333-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i321−i321+i32-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3200000000000000000000000000000000002ζ72ζ2ζ42ζ52ζ82ζ20000
χ323−3+3i32−3−3i323-1-1-1-13−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i32000002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000
χ333−3+3i32−3−3i323-1-1-1-13−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i3200000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000000000000
χ343−3+3i32−3−3i323-1-1-1-13−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i321−i321+i321−i321+i3200000−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000000000000
χ353−3+3i32−3−3i32-13-1-1-131−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32-13-1-1-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i32002−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i30002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000000000
χ363−3+3i32−3−3i32-13-1-1-131−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32-13-1-1-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i3200−1+i3−1−i32000−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1−i32−1+i3000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000000000000
χ373−3+3i32−3−3i32-13-1-1-131−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32-13-1-1-11−i321+i32−3+3i32−3−3i321−i321+i321−i321+i321−i321+i3200−1−i32−1+i3000−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32000−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000000000000
χ383−3+3i32−3−3i32-1-13-1-131−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-13-1-11−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32002−1+i3−1−i32−1+i3−1−i3000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3000−1+i3−1−i32−1−i32−1+i3000000000000
χ393−3+3i32−3−3i32-1-13-1-131−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-13-1-11−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i3200−1+i3−1−i32−1+i3−1−i320002−1+i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i30002−1+i3−1−i3−1+i3−1−i32000000000000
χ403−3+3i32−3−3i32-1-13-1-131−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-1-13-1-11−i321+i321−i321+i32−3+3i32−3−3i321−i321+i321−i321+i3200−1−i32−1+i3−1−i32−1+i3000−1+i3−1−i322−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32000−1−i32−1+i32−1+i3−1−i3000000000000
χ413−3+3i32−3−3i32-1-1-13-131−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32-1-1-13-11−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30002−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i320002−1+i3−1−i3000000000000
χ423−3+3i32−3−3i32-1-1-13-131−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32-1-1-13-11−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i3200−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3000−1+i3−1−i32−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000−1−i32−1+i3000000000000
χ433−3+3i32−3−3i32-1-1-13-131−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32-1-1-13-11−i321+i321−i321+i321−i321+i32−3+3i32−3−3i321−i321+i3200−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000−1+i3−1−i32000000000000
χ443−3+3i32−3−3i32-1-1-1-1331−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-131−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i30002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3000000000000000
χ453−3+3i32−3−3i32-1-1-1-1331−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-131−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i3200−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000
χ463−3+3i32−3−3i32-1-1-1-1331−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-131−i321+i321−i321+i321−i321+i321−i321+i32−3+3i32−3−3i3200−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32000000000000000
χ473−3−3i32−3+3i32333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000000000
χ483−3−3i32−3+3i3233333-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i321+i321−i32-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000002ζ22ζ82ζ52ζ42ζ2ζ70000
χ493−3−3i32−3+3i3233333-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i321+i321−i32-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000002ζ52ζ22ζ82ζ2ζ72ζ40000
χ503−3−3i32−3+3i3233333-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i321+i321−i32-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i3200000000000000000000000000000000002ζ82ζ52ζ22ζ72ζ42ζ0000
χ513−3−3i32−3+3i323-1-1-1-13−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i32000002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000
χ523−3−3i32−3+3i323-1-1-1-13−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i3200000−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32000000000000
χ533−3−3i32−3+3i323-1-1-1-13−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i321+i321−i321+i321−i3200000−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32000−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3000000000000
χ543−3−3i32−3+3i32-13-1-1-131+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32-13-1-1-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i32002−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i30002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000000000000
χ553−3−3i32−3+3i32-13-1-1-131+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32-13-1-1-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i3200−1+i32−1−i3000−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32000−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000000000000
χ563−3−3i32−3+3i32-13-1-1-131+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32-13-1-1-11+i321−i32−3−3i32−3+3i321+i321−i321+i321−i321+i321−i3200−1−i3−1+i32000−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1+i32−1−i3000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000000000000
χ573−3−3i32−3+3i32-1-13-1-131+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-13-1-11+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32002−1−i3−1+i32−1−i3−1+i3000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3000−1−i3−1+i32−1+i32−1−i3000000000000
χ583−3−3i32−3+3i32-1-13-1-131+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-13-1-11+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i3200−1+i32−1−i3−1+i32−1−i3000−1−i3−1+i322−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32000−1+i32−1−i32−1−i3−1+i3000000000000
χ593−3−3i32−3+3i32-1-13-1-131+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-1-13-1-11+i321−i321+i321−i32−3−3i32−3+3i321+i321−i321+i321−i3200−1−i3−1+i32−1−i3−1+i320002−1−i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i30002−1−i3−1+i3−1−i3−1+i32000000000000
χ603−3−3i32−3+3i32-1-1-13-131+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32-1-1-13-11+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30002−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i320002−1−i3−1+i3000000000000
χ613−3−3i32−3+3i32-1-1-13-131+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32-1-1-13-11+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i3200−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000−1−i3−1+i32000000000000
χ623−3−3i32−3+3i32-1-1-13-131+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32-1-1-13-11+i321−i321+i321−i321+i321−i32−3−3i32−3+3i321+i321−i3200−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000−1−i3−1+i32−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000−1+i32−1−i3000000000000
χ633−3−3i32−3+3i32-1-1-1-1331+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-131+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i30002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000000000000000
χ643−3−3i32−3+3i32-1-1-1-1331+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-131+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i3200−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32000000000000000
χ653−3−3i32−3+3i32-1-1-1-1331+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-131+i321−i321+i321−i321+i321−i321+i321−i32−3−3i32−3+3i3200−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000000000000000
χ669999-3-3-3-3-399-3-3-3-3-3-3-3-3-3-3-31111-3-31111111100000000000000000000000000000000000000000000
χ67999-39-3-3-3-3-3-399-3-3-3-3-3-3-3-31-311111-3-311111100000000000000000000000000000000000000000000
χ68999-3-39-3-3-3-3-3-3-399-3-3-3-3-3-311-3111111-3-3111100000000000000000000000000000000000000000000
χ69999-3-3-39-3-3-3-3-3-3-3-399-3-3-3-3111-31111111-3-31100000000000000000000000000000000000000000000
χ70999-3-3-3-39-3-3-3-3-3-3-3-3-399-3-31111-311111111-3-300000000000000000000000000000000000000000000
χ719−9+9i32−9−9i329-3-3-3-3-3−9+9i32−9−9i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-311113−3i323+3i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000000000000000
χ729−9+9i32−9−9i32-39-3-3-3-33−3i323+3i32−9+9i32−9−9i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i321-3111−1+i32−1−i323−3i323+3i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000000000000000
χ739−9+9i32−9−9i32-3-39-3-3-33−3i323+3i323−3i323+3i32−9+9i32−9−9i323−3i323+3i323−3i323+3i323−3i323+3i3211-311−1+i32−1−i32−1+i32−1−i323−3i323+3i32−1+i32−1−i32−1+i32−1−i3200000000000000000000000000000000000000000000
χ749−9+9i32−9−9i32-3-3-39-3-33−3i323+3i323−3i323+3i323−3i323+3i32−9+9i32−9−9i323−3i323+3i323−3i323+3i32111-31−1+i32−1−i32−1+i32−1−i32−1+i32−1−i323−3i323+3i32−1+i32−1−i3200000000000000000000000000000000000000000000
χ759−9+9i32−9−9i32-3-3-3-39-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−9+9i32−9−9i323−3i323+3i321111-3−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i323−3i323+3i3200000000000000000000000000000000000000000000
χ769−9−9i32−9+9i329-3-3-3-3-3−9−9i32−9+9i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32-311113+3i323−3i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000000000000000
χ779−9−9i32−9+9i32-39-3-3-3-33+3i323−3i32−9−9i32−9+9i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i321-3111−1−i32−1+i323+3i323−3i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000000000000000
χ789−9−9i32−9+9i32-3-39-3-3-33+3i323−3i323+3i323−3i32−9−9i32−9+9i323+3i323−3i323+3i323−3i323+3i323−3i3211-311−1−i32−1+i32−1−i32−1+i323+3i323−3i32−1−i32−1+i32−1−i32−1+i3200000000000000000000000000000000000000000000
χ799−9−9i32−9+9i32-3-3-39-3-33+3i323−3i323+3i323−3i323+3i323−3i32−9−9i32−9+9i323+3i323−3i323+3i323−3i32111-31−1−i32−1+i32−1−i32−1+i32−1−i32−1+i323+3i323−3i32−1−i32−1+i3200000000000000000000000000000000000000000000
χ809−9−9i32−9+9i32-3-3-3-39-33+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−9−9i32−9+9i323+3i323−3i321111-3−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i323+3i323−3i3200000000000000000000000000000000000000000000

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