Finite Group Databasebeta

← Group #13180063

Character table — Group #13180063

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111333333333333333161616161616333999999999999999484848484848444121212121212121212121212121212646464646464444121212121212121212121212121212646464646464
order133222226666666666999999266222226666666666181818181818333666666666666666999999333666666666666666999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ51−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ61−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ71−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ81−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ91−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ103333-1-1-1-13-1-1-1-13-1-1-1-10000003333-1-1-1-13-1-1-1-13-1-1-1-10000003333-1-1-1-13-1-1-1-13-1-1-1-10000003333-1-1-1-13-1-1-1-13-1-1-1-1000000
χ11333-13-1-1-1-13-1-1-1-13-1-1-1000000333-13-1-1-1-13-1-1-1-13-1-1-1000000333-13-1-1-1-13-1-1-1-13-1-1-1000000333-13-1-1-1-13-1-1-1-13-1-1-1000000
χ12333-1-13-1-1-1-13-1-1-1-13-1-1000000333-1-13-1-1-1-13-1-1-1-13-1-1000000333-1-13-1-1-1-13-1-1-1-13-1-1000000333-1-13-1-1-1-13-1-1-1-13-1-1000000
χ13333-1-1-13-1-1-1-13-1-1-1-13-1000000333-1-1-13-1-1-1-13-1-1-1-13-1000000333-1-1-13-1-1-1-13-1-1-1-13-1000000333-1-1-13-1-1-1-13-1-1-1-13-1000000
χ14333-1-1-1-13-1-1-1-13-1-1-1-13000000333-1-1-1-13-1-1-1-13-1-1-1-13000000333-1-1-1-13-1-1-1-13-1-1-1-13000000333-1-1-1-13-1-1-1-13-1-1-1-13000000
χ153−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32000000
χ163−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i320000003−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i320000003−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i320000003−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i32000000
χ173−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i320000003−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i320000003−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i320000003−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i32000000
χ183−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i320000003−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i320000003−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i320000003−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i32000000
χ193−3+3i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i320000003−3+3i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i320000003−3+3i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i320000003−3+3i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i32000000
χ203−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i32000000
χ213−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i320000003−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i320000003−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i320000003−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i32000000
χ223−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i320000003−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i320000003−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i320000003−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i32000000
χ233−3−3i32−3+3i32-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i320000003−3−3i32−3+3i32-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i320000003−3−3i32−3+3i32-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i320000003−3−3i32−3+3i32-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i32000000
χ243−3−3i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i320000003−3−3i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i320000003−3−3i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i320000003−3−3i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i32000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32111−1+i32−1+i32−1+i32
χ27111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ281−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111ζ4ζ7ζζ5ζ8ζ2−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32ζ7ζζ4ζ8ζ2ζ5
χ291−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111ζ7ζζ4ζ2ζ5ζ8−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32ζζ4ζ7ζ5ζ8ζ2
χ301−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111ζζ4ζ7ζ8ζ2ζ5−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32ζ4ζ7ζζ2ζ5ζ8
χ311−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32ζ5ζ2ζ8ζ7ζ4ζ−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111ζ8ζ5ζ2ζζ7ζ4
χ321−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32ζ8ζ5ζ2ζ4ζζ7−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111ζ2ζ8ζ5ζ7ζ4ζ
χ331−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32ζ2ζ8ζ5ζζ7ζ4−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111ζ5ζ2ζ8ζ4ζζ7
χ343333-1-1-1-13-1-1-1-13-1-1-1-10000003333-1-1-1-13-1-1-1-13-1-1-1-1000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000000
χ35333-13-1-1-1-13-1-1-1-13-1-1-1000000333-13-1-1-1-13-1-1-1-13-1-1-1000000−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32000000−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32000000
χ36333-1-13-1-1-1-13-1-1-1-13-1-1000000333-1-13-1-1-1-13-1-1-1-13-1-1000000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32000000
χ37333-1-1-13-1-1-1-13-1-1-1-13-1000000333-1-1-13-1-1-1-13-1-1-1-13-1000000−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i32000000−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i32000000
χ38333-1-1-1-13-1-1-1-13-1-1-1-13000000333-1-1-1-13-1-1-1-13-1-1-1-13000000−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i32000000−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i32000000
χ393−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32000000−3+3i32−3−3i323−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i323-1-1-1-1000000−3−3i323−3+3i32−3−3i321+i321+i321+i321+i323-1-1-1-1−3+3i321−i321−i321−i321−i32000000
χ403−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i320000003−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i32000000−3+3i32−3−3i3231−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i32-13-1-1-1000000−3−3i323−3+3i321+i32−3−3i321+i321+i321+i32-13-1-1-11−i32−3+3i321−i321−i321−i32000000
χ413−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i320000003−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i32000000−3+3i32−3−3i3231−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i32-1-13-1-1000000−3−3i323−3+3i321+i321+i32−3−3i321+i321+i32-1-13-1-11−i321−i32−3+3i321−i321−i32000000
χ423−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i320000003−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i32000000−3+3i32−3−3i3231−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i32-1-1-13-1000000−3−3i323−3+3i321+i321+i321+i32−3−3i321+i32-1-1-13-11−i321−i321−i32−3+3i321−i32000000
χ433−3+3i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i320000003−3+3i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i32000000−3+3i32−3−3i3231−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i32-1-1-1-13000000−3−3i323−3+3i321+i321+i321+i321+i32−3−3i32-1-1-1-131−i321−i321−i321−i32−3+3i32000000
χ443−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i320000003−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i32000000−3+3i323−3−3i32−3+3i321−i321−i321−i321−i323-1-1-1-1−3−3i321+i321+i321+i321+i32000000−3−3i32−3+3i323−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i323-1-1-1-1000000
χ453−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i320000003−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i32000000−3+3i323−3−3i321−i32−3+3i321−i321−i321−i32-13-1-1-11+i32−3−3i321+i321+i321+i32000000−3−3i32−3+3i3231+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i32-13-1-1-1000000
χ463−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i320000003−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i32000000−3+3i323−3−3i321−i321−i32−3+3i321−i321−i32-1-13-1-11+i321+i32−3−3i321+i321+i32000000−3−3i32−3+3i3231+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i32-1-13-1-1000000
χ473−3−3i32−3+3i32-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i320000003−3−3i32−3+3i32-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i32000000−3+3i323−3−3i321−i321−i321−i32−3+3i321−i32-1-1-13-11+i321+i321+i32−3−3i321+i32000000−3−3i32−3+3i3231+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i32-1-1-13-1000000
χ483−3−3i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i320000003−3−3i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i32000000−3+3i323−3−3i321−i321−i321−i321−i32−3+3i32-1-1-1-131+i321+i321+i321+i32−3−3i32000000−3−3i32−3+3i3231+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i32-1-1-1-13000000
χ49111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ51111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32111−1−i32−1−i32−1−i32
χ521−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32ζ7ζζ4ζ8ζ2ζ5−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111ζ4ζ7ζζ5ζ8ζ2
χ531−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32ζζ4ζ7ζ5ζ8ζ2−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111ζ7ζζ4ζ2ζ5ζ8
χ541−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32ζ4ζ7ζζ2ζ5ζ8−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111ζζ4ζ7ζ8ζ2ζ5
χ551−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111ζ8ζ5ζ2ζζ7ζ4−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32ζ5ζ2ζ8ζ7ζ4ζ
χ561−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111ζ2ζ8ζ5ζ7ζ4ζ−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32ζ8ζ5ζ2ζ4ζζ7
χ571−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111ζ5ζ2ζ8ζ4ζζ7−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32ζ2ζ8ζ5ζζ7ζ4
χ583333-1-1-1-13-1-1-1-13-1-1-1-10000003333-1-1-1-13-1-1-1-13-1-1-1-1000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000000
χ59333-13-1-1-1-13-1-1-1-13-1-1-1000000333-13-1-1-1-13-1-1-1-13-1-1-1000000−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32000000−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32000000
χ60333-1-13-1-1-1-13-1-1-1-13-1-1000000333-1-13-1-1-1-13-1-1-1-13-1-1000000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32000000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000
χ61333-1-1-13-1-1-1-13-1-1-1-13-1000000333-1-1-13-1-1-1-13-1-1-1-13-1000000−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i32000000−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i32000000
χ62333-1-1-1-13-1-1-1-13-1-1-1-13000000333-1-1-1-13-1-1-1-13-1-1-1-13000000−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i32000000−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i32000000
χ633−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i320000003−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32000000−3−3i323−3+3i32−3−3i321+i321+i321+i321+i323-1-1-1-1−3+3i321−i321−i321−i321−i32000000−3+3i32−3−3i323−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i323-1-1-1-1000000
χ643−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i320000003−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i32000000−3−3i323−3+3i321+i32−3−3i321+i321+i321+i32-13-1-1-11−i32−3+3i321−i321−i321−i32000000−3+3i32−3−3i3231−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i32-13-1-1-1000000
χ653−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i320000003−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i32000000−3−3i323−3+3i321+i321+i32−3−3i321+i321+i32-1-13-1-11−i321−i32−3+3i321−i321−i32000000−3+3i32−3−3i3231−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i32-1-13-1-1000000
χ663−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i320000003−3+3i32−3−3i32-1-1-13-11−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i32000000−3−3i323−3+3i321+i321+i321+i32−3−3i321+i32-1-1-13-11−i321−i321−i32−3+3i321−i32000000−3+3i32−3−3i3231−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i32-1-1-13-1000000
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χ909−9+9i32−9−9i32-3-3-39-33−3i323−3i323−3i32−9+9i323−3i323+3i323+3i323+3i32−9−9i323+3i32000000-33−3i323+3i32111-31−1+i32−1+i32−1+i323−3i32−1+i32−1−i32−1−i32−1−i323+3i32−1−i32000000000000000000000000000000000000000000000000000000
χ919−9+9i32−9−9i32-3-3-3-393−3i323−3i323−3i323−3i32−9+9i323+3i323+3i323+3i323+3i32−9−9i32000000-33−3i323+3i321111-3−1+i32−1+i32−1+i32−1+i323−3i32−1−i32−1−i32−1−i32−1−i323+3i32000000000000000000000000000000000000000000000000000000
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χ949−9−9i32−9+9i32-3-39-3-33+3i323+3i32−9−9i323+3i323+3i323−3i323−3i32−9+9i323−3i323−3i32000000-33+3i323−3i3211-311−1−i32−1−i323+3i32−1−i32−1−i32−1+i32−1+i323−3i32−1+i32−1+i32000000000000000000000000000000000000000000000000000000
χ959−9−9i32−9+9i32-3-3-39-33+3i323+3i323+3i32−9−9i323+3i323−3i323−3i323−3i32−9+9i323−3i32000000-33+3i323−3i32111-31−1−i32−1−i32−1−i323+3i32−1−i32−1+i32−1+i32−1+i323−3i32−1+i32000000000000000000000000000000000000000000000000000000
χ969−9−9i32−9+9i32-3-3-3-393+3i323+3i323+3i323+3i32−9−9i323−3i323−3i323−3i323−3i32−9+9i32000000-33+3i323−3i321111-3−1−i32−1−i32−1−i32−1−i323+3i32−1+i32−1+i32−1+i32−1+i323−3i32000000000000000000000000000000000000000000000000000000

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