Finite Group Databasebeta

← Group #13147221

Character table — Group #13147221

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111222333444666888121212121212121212121212121212121212161616161616161616161616242424323232323232323232323232363636363636484848484848484848484848
order133333266266666666222466666666666612129999991818181818181212129999991818181818184412121212181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1+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−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
χ3111111111111111111111111111111111111−1−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+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
χ41111111111111111111-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1111-1-1-1-111111111−1+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−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ61111111111111111111-1-1111-1-1-1-111111111−1−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+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ7111111111-1-1-1111-1-1-111-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1111-1-1-1111-1-1-1
χ8111111111-1-1-1111-1-1-111-1-11111-1-1111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ9111111111-1-1-1111-1-1-111-1-11111-1-1111111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ10111111111-1-1-1111-1-1-11-11-111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1111-1-1-1111
χ11111111111-1-1-1111-1-1-11-11-111-1-111111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ12111111111-1-1-1111-1-1-11-11-111-1-111111111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ131−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ811−1+i32−1−i32−1+i32−1−i32ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8
χ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ511−1+i32−1−i32−1+i32−1−i32ζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5
χ151−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ211−1+i32−1−i32−1+i32−1−i32ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2
χ161−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8-1-11−i321+i321−i321+i32−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8
χ171−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5-1-11−i321+i321−i321+i32−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5
χ181−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2-1-11−i321+i321−i321+i32−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2
χ191−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8-11−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ81-1−1+i32−1−i321−i321+i32ζζ4ζ7−ζ−ζ4−ζ7ζ2ζ5ζ8−ζ2−ζ5−ζ8
χ201−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-11−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ51-1−1+i32−1−i321−i321+i32ζ4ζ7ζ−ζ4−ζ7−ζζ8ζ2ζ5−ζ8−ζ2−ζ5
χ211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-11−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ21-1−1+i32−1−i321−i321+i32ζ7ζζ4−ζ7−ζ−ζ4ζ5ζ8ζ2−ζ5−ζ8−ζ2
χ221−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8-11−i321+i32ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8-111−i321+i32−1+i32−1−i32−ζ−ζ4−ζ7ζζ4ζ7−ζ2−ζ5−ζ8ζ2ζ5ζ8
χ231−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-11−i321+i32ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5-111−i321+i32−1+i32−1−i32−ζ4−ζ7−ζζ4ζ7ζ−ζ8−ζ2−ζ5ζ8ζ2ζ5
χ241−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-11−i321+i32ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2-111−i321+i32−1+i32−1−i32−ζ7−ζ−ζ4ζ7ζζ4−ζ5−ζ8−ζ2ζ5ζ8ζ2
χ251−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ711−1−i32−1+i32−1−i32−1+i32ζ2ζ8ζ5ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7
χ261−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ411−1−i32−1+i32−1−i32−1+i32ζ5ζ2ζ8ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4
χ271−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1+i32−1−i32−1+i32ζ8ζ5ζ2ζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζ
χ281−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7-1-11+i321−i321+i321−i32−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ4−ζ−ζ7−ζ4−ζ−ζ7
χ291−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ4-1-11+i321−i321+i321−i32−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ−ζ7−ζ4−ζ−ζ7−ζ4
χ301−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ-1-11+i321−i321+i321−i32−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ7−ζ4−ζ−ζ7−ζ4−ζ
χ311−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-11+i321−i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ71-1−1−i32−1+i321+i321−i32ζ2ζ8ζ5−ζ2−ζ8−ζ5ζ4ζζ7−ζ4−ζ−ζ7
χ321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-11+i321−i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ41-1−1−i32−1+i321+i321−i32ζ5ζ2ζ8−ζ5−ζ2−ζ8ζζ7ζ4−ζ−ζ7−ζ4
χ331−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-11+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ1-1−1−i32−1+i321+i321−i32ζ8ζ5ζ2−ζ8−ζ5−ζ2ζ7ζ4ζ−ζ7−ζ4−ζ
χ341−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-11+i321−i32ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ7-111+i321−i32−1−i32−1+i32−ζ2−ζ8−ζ5ζ2ζ8ζ5−ζ4−ζ−ζ7ζ4ζζ7
χ351−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-11+i321−i32ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ4-111+i321−i32−1−i32−1+i32−ζ5−ζ2−ζ8ζ5ζ2ζ8−ζ−ζ7−ζ4ζζ7ζ4
χ361−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-11+i321−i32ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ-111+i321−i32−1−i32−1+i32−ζ8−ζ5−ζ2ζ8ζ5ζ2−ζ7−ζ4−ζζ7ζ4ζ
χ37222-1-1-1222222-1-1-1-1-1-12002220000-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ38222-1-1-1222222-1-1-1-1-1-12002220000-1-1-1-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000000000000
χ39222-1-1-1222222-1-1-1-1-1-12002220000-1-1-1-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000000000000
χ40222-1-1-1222-2-2-2-1-1-1111200-2220000-1-1-1-1-1-1-2-2222222-2-2-2-2-2-2111-1-1-1-1-1-1111111000000000000000000
χ41222-1-1-1222-2-2-2-1-1-1111200-2220000-1-1-1-1-1-1-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i31111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000
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χ442−1+i3−1−i3-11−i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i322002−1+i3−1−i30000-1-11−i321−i321+i321+i32−1+i3−1−i32ζ42ζ72ζ2ζ82ζ22ζ52ζ42ζ72ζ2ζ82ζ22ζ5-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000000000000
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χ482−1+i3−1−i3-11−i321+i322−1+i3−1−i3-21−i31+i3-11−i321+i321−1+i32−1−i32200-2−1+i3−1−i30000-1-11−i321−i321+i321+i321−i31+i32ζ72ζ2ζ42ζ52ζ82ζ2−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ21−1+i32−1−i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2ζ7ζζ4ζ5ζ8ζ2000000000000000000
χ492−1−i3−1+i3-11+i321−i322−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i322002−1−i3−1+i30000-1-11+i321+i321−i321−i32−1−i3−1+i32ζ22ζ82ζ52ζ42ζ2ζ72ζ22ζ82ζ52ζ42ζ2ζ7-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ7000000000000000000
χ502−1−i3−1+i3-11+i321−i322−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i322002−1−i3−1+i30000-1-11+i321+i321−i321−i32−1−i3−1+i32ζ52ζ22ζ82ζ2ζ72ζ42ζ52ζ22ζ82ζ2ζ72ζ4-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ4000000000000000000
χ512−1−i3−1+i3-11+i321−i322−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i322002−1−i3−1+i30000-1-11+i321+i321−i321−i32−1−i3−1+i32ζ82ζ52ζ22ζ72ζ42ζ2ζ82ζ52ζ22ζ72ζ42ζ-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000000000000
χ522−1−i3−1+i3-11+i321−i322−1−i3−1+i3-21+i31−i3-11+i321−i321−1−i32−1+i32200-2−1−i3−1+i30000-1-11+i321+i321−i321−i321+i31−i32ζ22ζ82ζ52ζ42ζ2ζ7−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ71−1−i32−1+i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7ζ2ζ8ζ5ζ4ζζ7000000000000000000
χ532−1−i3−1+i3-11+i321−i322−1−i3−1+i3-21+i31−i3-11+i321−i321−1−i32−1+i32200-2−1−i3−1+i30000-1-11+i321+i321−i321−i321+i31−i32ζ52ζ22ζ82ζ2ζ72ζ4−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ41−1−i32−1+i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4ζ5ζ2ζ8ζζ7ζ4000000000000000000
χ542−1−i3−1+i3-11+i321−i322−1−i3−1+i3-21+i31−i3-11+i321−i321−1−i32−1+i32200-2−1−i3−1+i30000-1-11+i321+i321−i321−i321+i31−i32ζ82ζ52ζ22ζ72ζ42ζ−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ1−1−i32−1+i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζζ8ζ5ζ2ζ7ζ4ζ000000000000000000
χ55333333333333333333-133-1-1-13333-1-1-1-1-1-1-1-1000000000000-1-1-1000000000000-1-1-1-1-1-1000000000000
χ56333333333333333333-1-3-3-1-1-1-3-3-3-3-1-1-1-1-1-1-1-1000000000000-1-1-1000000000000111111000000000000
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χ593−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-133-11−i321+i32−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i321−i321+i32000000000000-11−i321+i32000000000000-1-11−i321+i321−i321+i32000000000000
χ603−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-3-3-11−i321+i323−3i323+3i323−3i323+3i32-1-11−i321−i321+i321+i321−i321+i32000000000000-11−i321+i3200000000000011−1+i32−1−i32−1+i32−1−i32000000000000
χ613−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32-13-311−i321+i32−3+3i32−3−3i323−3i323+3i32-1-11−i321−i321+i321+i32−1+i32−1−i320000000000001−1+i32−1−i32000000000000-111−i321+i32−1+i32−1−i32000000000000
χ623−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32-1-3311−i321+i323−3i323+3i32−3+3i32−3−3i32-1-11−i321−i321+i321+i32−1+i32−1−i320000000000001−1+i32−1−i320000000000001-1−1+i32−1−i321−i321+i32000000000000
χ633−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-133-11+i321−i32−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i321+i321−i32000000000000-11+i321−i32000000000000-1-11+i321−i321+i321−i32000000000000
χ643−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-3-3-11+i321−i323+3i323−3i323+3i323−3i32-1-11+i321+i321−i321−i321+i321−i32000000000000-11+i321−i3200000000000011−1−i32−1+i32−1−i32−1+i32000000000000
χ653−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32-13-311+i321−i32−3−3i32−3+3i323+3i323−3i32-1-11+i321+i321−i321−i32−1−i32−1+i320000000000001−1−i32−1+i32000000000000-111+i321−i32−1−i32−1+i32000000000000
χ663−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32-1-3311+i321−i323+3i323−3i32−3−3i32−3+3i32-1-11+i321+i321−i321−i32−1−i32−1+i320000000000001−1−i32−1+i320000000000001-1−1−i32−1+i321+i321−i32000000000000
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χ68666-3-3-3666-6-6-6-3-3-3333-2002-2-2000011111122000000000000-1-1-1000000000000000000000000000000
χ696−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-200-21−i31+i3000011−1+i32−1+i32−1−i32−1−i321−i31+i30000000000001−1+i32−1−i32000000000000000000000000000000
χ706−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-63−3i33+3i3-33−3i323+3i323−3+3i32−3−3i32-20021−i31+i3000011−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3000000000000-11−i321+i32000000000000000000000000000000
χ716−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-200-21+i31−i3000011−1−i32−1−i32−1+i32−1+i321+i31−i30000000000001−1−i32−1+i32000000000000000000000000000000
χ726−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-63+3i33−3i3-33+3i323−3i323−3−3i32−3+3i32-20021+i31−i3000011−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3000000000000-11+i321−i32000000000000000000000000000000
χ73121212121212-4-4-4000-4-4-4000000000000000000000000000000000000000000000000000000000000000000
χ74121212-6-6-6-4-4-400022200000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000
χ75121212-6-6-6-4-4-40002220000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000000
χ7612−6+6i3−6−6i312−6+6i3−6−6i3-42−2i32+2i3000-42−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000
χ7712−6+6i3−6−6i3-63−3i33+3i3-42−2i32+2i30002−1+i3−1−i300000000000002i3−2i3−3−i33+i33−i3−3+i300000000000000000000000000000000000000000000000
χ7812−6+6i3−6−6i3-63−3i33+3i3-42−2i32+2i30002−1+i3−1−i30000000000000−2i32i33+i3−3−i3−3+i33−i300000000000000000000000000000000000000000000000
χ7912−6−6i3−6+6i312−6−6i3−6+6i3-42+2i32−2i3000-42+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000
χ8012−6−6i3−6+6i3-63+3i33−3i3-42+2i32−2i30002−1−i3−1+i300000000000002i3−2i33−i3−3+i3−3−i33+i300000000000000000000000000000000000000000000000
χ8112−6−6i3−6+6i3-63+3i33−3i3-42+2i32−2i30002−1−i3−1+i30000000000000−2i32i3−3+i33−i33+i3−3−i300000000000000000000000000000000000000000000000

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