Finite Group Databasebeta

← Group #11919643

Character table — Group #11919643

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111333333666666666666666666666666666666666666666666666666666666666666646464646464646464646464
order1233662266664444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212999999181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ511−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ611−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ711−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ811−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ911−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ103333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ11333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ12333333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1000000000000
χ13333333333333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13333-1-1-1-1000000000000
χ14333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13333000000000000
χ15333333-1-1-1-1-1-13-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i3-1-1-13-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000
χ16333333-1-1-1-1-1-13-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i3-1-1-13-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000
χ17333333-1-1-1-1-1-13-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i113-1-1-13-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11000000000000
χ18333333-1-1-1-1-1-13-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i113-1-1-13-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11000000000000
χ19333333-1-1-1-1-1-1-13-1-111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i11-13-1-1-13-1-111−1+2i−1−2i11−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i11000000000000
χ20333333-1-1-1-1-1-1-13-1-111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i11-13-1-1-13-1-111−1−2i−1+2i11−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i11000000000000
χ21333333-1-1-1-1-1-1-13-1-1−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i-13-1-1-13-1-1−1+2i−1−2i11−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i000000000000
χ22333333-1-1-1-1-1-1-13-1-1−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i-13-1-1-13-1-1−1−2i−1+2i11−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i000000000000
χ23333333-1-1-1-1-1-1-1-13-111−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i-1-13-1-1-13-111−1+2i−1−2i11−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i000000000000
χ24333333-1-1-1-1-1-1-1-13-111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i-1-13-1-1-13-111−1−2i−1+2i11−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i000000000000
χ25333333-1-1-1-1-1-1-1-13-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i11-1-13-1-1-13-1−1+2i−1−2i11−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i11000000000000
χ26333333-1-1-1-1-1-1-1-13-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i11-1-13-1-1-13-1−1−2i−1+2i11−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i11000000000000
χ27333333-1-1-1-1-1-1-1-1-1311−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i11-1-1-13-1-1-1311−1+2i−1−2i11−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i11000000000000
χ28333333-1-1-1-1-1-1-1-1-1311−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i11-1-1-13-1-1-1311−1−2i−1+2i11−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i11000000000000
χ29333333-1-1-1-1-1-1-1-1-13−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i-1-1-13-1-1-13−1+2i−1−2i11−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i000000000000
χ30333333-1-1-1-1-1-1-1-1-13−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i-1-1-13-1-1-13−1−2i−1+2i11−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i000000000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ3433−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32000000000000
χ3533−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133331+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i32000000000000
χ3633−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i323-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ3733−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i323-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ3833−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i323-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ3933−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i323-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-13-1-111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i111+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ4133−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-13-1-111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i111+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ4233−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-13-1-1−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i1+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ152ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-13-1-1−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i1+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ4433−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-13-111−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i1+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ4533−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-13-111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i1+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ152ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ4633−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-13-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i111+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-13-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i111+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ4833−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-1-1311−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i111+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ4933−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-1-1311−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i111+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ5033−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-1-13−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i1+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ5133−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32-1-1-13−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i1+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ5233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ5333−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ5433−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ5533−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32000000000000
χ5633−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133331−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i32000000000000
χ5733−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i323-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15000000000000
χ5833−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i323-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15000000000000
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χ6633−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-13-111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i1−i321−i32−3+3i321−i321+i321+i32−3−3i321+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ152ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15000000000000
χ6733−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-13-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i111−i321−i32−3+3i321−i321+i321+i32−3−3i321+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32000000000000
χ6833−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-13-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i111−i321−i32−3+3i321−i321+i321+i32−3−3i321+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32000000000000
χ6933−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-1-1311−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i111−i321−i321−i32−3+3i321+i321+i321+i32−3−3i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ152ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32000000000000
χ7033−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-1-1311−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i111−i321−i321−i32−3+3i321+i321+i321+i32−3−3i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32000000000000
χ7133−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-1-13−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i1−i321−i321−i32−3+3i321+i321+i321+i32−3−3i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15000000000000
χ7233−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i321−i321+i32-1-1-13−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i1−i321−i321−i32−3+3i321+i321+i321+i32−3−3i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15000000000000
χ734-444-4-4-44-4-444000000000000000000000000000000000000000000000000000000000000111111-1-1-1-1-1-1
χ744-444-4-4-44-4-444000000000000000000000000000000000000000000000000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ754-444-4-4-44-4-444000000000000000000000000000000000000000000000000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ764-4−2−2i3−2+2i32+2i32−2i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34
χ774-4−2−2i3−2+2i32+2i32−2i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34
χ784-4−2−2i3−2+2i32+2i32−2i3-442+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22
χ794-4−2+2i3−2−2i32−2i32+2i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14
χ804-4−2+2i3−2−2i32−2i32+2i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26
χ814-4−2+2i3−2−2i32−2i32+2i3-442−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26
χ8212-121212-12-124-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-12−6−6i3−6+6i36+6i36−6i34-4−2−2i3−2+2i32+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-12−6+6i3−6−6i36−6i36+6i34-4−2+2i3−2−2i32−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.