Finite Group Databasebeta

← Group #13180071

Character table — Group #13180071

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111333333333999999999999999999161616161616161616161616161616161616484848484848484848484848484848484848646464646464
order133222666666222222666666666666999999999999999999181818181818181818181818181818181818333333
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1+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−i32−1+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+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ5111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111
χ6111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ7111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ8111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ9111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111
χ101−1+i32−1−i32111−1+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−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ71−1+i32−1−i321−1+i32−1−i32
χ111−1+i32−1−i32111−1+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−i32ζζ4ζ7ζ2ζ5ζ8ζ4ζ7ζζ5ζ8ζ2ζ8ζ2ζ5ζ7ζζ4ζζ4ζ7ζ2ζ5ζ8ζ4ζ7ζζ5ζ8ζ2ζ8ζ2ζ5ζ7ζζ4−1+i32−1−i321−1−i321−1+i32
χ121−1+i32−1−i32111−1+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−i32ζζ4ζ7ζ2ζ5ζ8ζ7ζζ4ζ8ζ2ζ5ζ5ζ8ζ2ζ4ζ7ζζζ4ζ7ζ2ζ5ζ8ζ7ζζ4ζ8ζ2ζ5ζ5ζ8ζ2ζ4ζ7ζ−1−i321−1+i32−1+i32−1−i321
χ131−1+i32−1−i32111−1+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−i32ζ4ζ7ζζ8ζ2ζ5ζζ4ζ7ζ5ζ8ζ2ζ2ζ5ζ8ζ7ζζ4ζ4ζ7ζζ8ζ2ζ5ζζ4ζ7ζ5ζ8ζ2ζ2ζ5ζ8ζ7ζζ4−1−i321−1+i32−1+i32−1−i321
χ141−1+i32−1−i32111−1+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−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζ1−1+i32−1−i321−1+i32−1−i32
χ151−1+i32−1−i32111−1+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−i32ζ4ζ7ζζ8ζ2ζ5ζ7ζζ4ζ2ζ5ζ8ζ5ζ8ζ2ζζ4ζ7ζ4ζ7ζζ8ζ2ζ5ζ7ζζ4ζ2ζ5ζ8ζ5ζ8ζ2ζζ4ζ7−1+i32−1−i321−1−i321−1+i32
χ161−1+i32−1−i32111−1+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−i32ζ7ζζ4ζ5ζ8ζ2ζζ4ζ7ζ8ζ2ζ5ζ2ζ5ζ8ζ4ζ7ζζ7ζζ4ζ5ζ8ζ2ζζ4ζ7ζ8ζ2ζ5ζ2ζ5ζ8ζ4ζ7ζ−1+i32−1−i321−1−i321−1+i32
χ171−1+i32−1−i32111−1+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−i32ζ7ζζ4ζ5ζ8ζ2ζ4ζ7ζζ2ζ5ζ8ζ8ζ2ζ5ζζ4ζ7ζ7ζζ4ζ5ζ8ζ2ζ4ζ7ζζ2ζ5ζ8ζ8ζ2ζ5ζζ4ζ7−1−i321−1+i32−1+i32−1−i321
χ181−1+i32−1−i32111−1+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−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ41−1+i32−1−i321−1+i32−1−i32
χ191−1−i32−1+i32111−1−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+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7ζ2ζ8ζ5ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7ζ2ζ8ζ51−1−i32−1+i321−1−i32−1+i32
χ201−1−i32−1+i32111−1−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+i32ζ2ζ8ζ5ζ4ζζ7ζ5ζ2ζ8ζ7ζ4ζζζ7ζ4ζ8ζ5ζ2ζ2ζ8ζ5ζ4ζζ7ζ5ζ2ζ8ζ7ζ4ζζζ7ζ4ζ8ζ5ζ2−1+i321−1−i32−1−i32−1+i321
χ211−1−i32−1+i32111−1−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+i32ζ2ζ8ζ5ζ4ζζ7ζ8ζ5ζ2ζζ7ζ4ζ7ζ4ζζ5ζ2ζ8ζ2ζ8ζ5ζ4ζζ7ζ8ζ5ζ2ζζ7ζ4ζ7ζ4ζζ5ζ2ζ8−1−i32−1+i321−1+i321−1−i32
χ221−1−i32−1+i32111−1−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+i32ζ5ζ2ζ8ζζ7ζ4ζ2ζ8ζ5ζ7ζ4ζζ4ζζ7ζ8ζ5ζ2ζ5ζ2ζ8ζζ7ζ4ζ2ζ8ζ5ζ7ζ4ζζ4ζζ7ζ8ζ5ζ2−1−i32−1+i321−1+i321−1−i32
χ231−1−i32−1+i32111−1−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+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4ζ5ζ2ζ8ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4ζ5ζ2ζ81−1−i32−1+i321−1−i32−1+i32
χ241−1−i32−1+i32111−1−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+i32ζ5ζ2ζ8ζζ7ζ4ζ8ζ5ζ2ζ4ζζ7ζ7ζ4ζζ2ζ8ζ5ζ5ζ2ζ8ζζ7ζ4ζ8ζ5ζ2ζ4ζζ7ζ7ζ4ζζ2ζ8ζ5−1+i321−1−i32−1−i32−1+i321
χ251−1−i32−1+i32111−1−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+i32ζ8ζ5ζ2ζ7ζ4ζζ2ζ8ζ5ζζ7ζ4ζ4ζζ7ζ5ζ2ζ8ζ8ζ5ζ2ζ7ζ4ζζ2ζ8ζ5ζζ7ζ4ζ4ζζ7ζ5ζ2ζ8−1+i321−1−i32−1−i32−1+i321
χ261−1−i32−1+i32111−1−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+i32ζ8ζ5ζ2ζ7ζ4ζζ5ζ2ζ8ζ4ζζ7ζζ7ζ4ζ2ζ8ζ5ζ8ζ5ζ2ζ7ζ4ζζ5ζ2ζ8ζ4ζζ7ζζ7ζ4ζ2ζ8ζ5−1−i32−1+i321−1+i321−1−i32
χ271−1−i32−1+i32111−1−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+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζζ8ζ5ζ2ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζζ8ζ5ζ21−1−i32−1+i321−1−i32−1+i32
χ2833333-133-133-13-1-1-1-1-13-1-1-1-1-13-1-1-1-1-1000000000333000333000000000-1-1-1000-1-1-1000000
χ2933333-133-133-13-1-1-1-1-13-1-1-1-1-13-1-1-1-1-1000000000−3+3i32−3+3i32−3+3i32000−3−3i32−3−3i32−3−3i320000000001−i321−i321−i320001+i321+i321+i32000000
χ3033333-133-133-13-1-1-1-1-13-1-1-1-1-13-1-1-1-1-1000000000−3−3i32−3−3i32−3−3i32000−3+3i32−3+3i32−3+3i320000000001+i321+i321+i320001−i321−i321−i32000000
χ313333-133-133-13-13-1-1-1-1-13-1-1-1-1-13-1-1-1-1000000333000333000000000-1-1-1000-1-1-1000000000
χ323333-133-133-13-13-1-1-1-1-13-1-1-1-1-13-1-1-1-1000000−3+3i32−3+3i32−3+3i32000−3−3i32−3−3i32−3−3i320000000001−i321−i321−i320001+i321+i321+i32000000000
χ333333-133-133-13-13-1-1-1-1-13-1-1-1-1-13-1-1-1-1000000−3−3i32−3−3i32−3−3i32000−3+3i32−3+3i32−3+3i320000000001+i321+i321+i320001−i321−i321−i32000000000
χ34333-133-133-133-1-13-1-1-1-1-13-1-1-1-1-13-1-1-1333333000000000000-1-1-1-1-1-1000000000000000000
χ35333-133-133-133-1-13-1-1-1-1-13-1-1-1-1-13-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000001−i321−i321−i321+i321+i321+i32000000000000000000
χ36333-133-133-133-1-13-1-1-1-1-13-1-1-1-1-13-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000001+i321+i321+i321−i321−i321−i32000000000000000000
χ373−3+3i32−3−3i3233-1−3+3i32−3+3i321−i32−3−3i32−3−3i321+i323-1-1-1-1-1−3+3i321−i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i321+i320000000003ζ23ζ53ζ80003ζ3ζ43ζ7000000000−ζ2−ζ5−ζ8000−ζ−ζ4−ζ7000000
χ383−3+3i32−3−3i3233-1−3+3i32−3+3i321−i32−3−3i32−3−3i321+i323-1-1-1-1-1−3+3i321−i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i321+i320000000003ζ53ζ83ζ20003ζ73ζ3ζ4000000000−ζ5−ζ8−ζ2000−ζ7−ζ−ζ4000000
χ393−3+3i32−3−3i3233-1−3+3i32−3+3i321−i32−3−3i32−3−3i321+i323-1-1-1-1-1−3+3i321−i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i321+i320000000003ζ83ζ23ζ50003ζ43ζ73ζ000000000−ζ8−ζ2−ζ5000−ζ4−ζ7−ζ000000
χ403−3+3i32−3−3i323-13−3+3i321−i32−3+3i32−3−3i321+i32−3−3i32-13-1-1-1-11−i32−3+3i321−i321−i321−i321−i321+i32−3−3i321+i321+i321+i321+i320000003ζ3ζ43ζ70003ζ23ζ53ζ8000000000−ζ−ζ4−ζ7000−ζ2−ζ5−ζ8000000000
χ413−3+3i32−3−3i323-13−3+3i321−i32−3+3i32−3−3i321+i32−3−3i32-13-1-1-1-11−i32−3+3i321−i321−i321−i321−i321+i32−3−3i321+i321+i321+i321+i320000003ζ43ζ73ζ0003ζ83ζ23ζ5000000000−ζ4−ζ7−ζ000−ζ8−ζ2−ζ5000000000
χ423−3+3i32−3−3i323-13−3+3i321−i32−3+3i32−3−3i321+i32−3−3i32-13-1-1-1-11−i32−3+3i321−i321−i321−i321−i321+i32−3−3i321+i321+i321+i321+i320000003ζ73ζ3ζ40003ζ53ζ83ζ2000000000−ζ7−ζ−ζ4000−ζ5−ζ8−ζ2000000000
χ433−3+3i32−3−3i32-1331−i32−3+3i32−3+3i321+i32−3−3i32−3−3i32-1-13-1-1-11−i321−i32−3+3i321−i321−i321−i321+i321+i32−3−3i321+i321+i321+i323ζ3ζ43ζ73ζ23ζ53ζ8000000000000−ζ−ζ4−ζ7−ζ2−ζ5−ζ8000000000000000000
χ443−3+3i32−3−3i32-1331−i32−3+3i32−3+3i321+i32−3−3i32−3−3i32-1-13-1-1-11−i321−i32−3+3i321−i321−i321−i321+i321+i32−3−3i321+i321+i321+i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000−ζ4−ζ7−ζ−ζ8−ζ2−ζ5000000000000000000
χ453−3+3i32−3−3i32-1331−i32−3+3i32−3+3i321+i32−3−3i32−3−3i32-1-13-1-1-11−i321−i32−3+3i321−i321−i321−i321+i321+i32−3−3i321+i321+i321+i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000−ζ7−ζ−ζ4−ζ5−ζ8−ζ2000000000000000000
χ463−3−3i32−3+3i3233-1−3−3i32−3−3i321+i32−3+3i32−3+3i321−i323-1-1-1-1-1−3−3i321+i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i321−i320000000003ζ3ζ73ζ40003ζ53ζ23ζ8000000000−ζ−ζ7−ζ4000−ζ5−ζ2−ζ8000000
χ473−3−3i32−3+3i3233-1−3−3i32−3−3i321+i32−3+3i32−3+3i321−i323-1-1-1-1-1−3−3i321+i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i321−i320000000003ζ43ζ3ζ70003ζ23ζ83ζ5000000000−ζ4−ζ−ζ7000−ζ2−ζ8−ζ5000000
χ483−3−3i32−3+3i3233-1−3−3i32−3−3i321+i32−3+3i32−3+3i321−i323-1-1-1-1-1−3−3i321+i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i321−i320000000003ζ73ζ43ζ0003ζ83ζ53ζ2000000000−ζ7−ζ4−ζ000−ζ8−ζ5−ζ2000000
χ493−3−3i32−3+3i323-13−3−3i321+i32−3−3i32−3+3i321−i32−3+3i32-13-1-1-1-11+i32−3−3i321+i321+i321+i321+i321−i32−3+3i321−i321−i321−i321−i320000003ζ23ζ83ζ50003ζ43ζ3ζ7000000000−ζ2−ζ8−ζ5000−ζ4−ζ−ζ7000000000
χ503−3−3i32−3+3i323-13−3−3i321+i32−3−3i32−3+3i321−i32−3+3i32-13-1-1-1-11+i32−3−3i321+i321+i321+i321+i321−i32−3+3i321−i321−i321−i321−i320000003ζ53ζ23ζ80003ζ3ζ73ζ4000000000−ζ5−ζ2−ζ8000−ζ−ζ7−ζ4000000000
χ513−3−3i32−3+3i323-13−3−3i321+i32−3−3i32−3+3i321−i32−3+3i32-13-1-1-1-11+i32−3−3i321+i321+i321+i321+i321−i32−3+3i321−i321−i321−i321−i320000003ζ83ζ53ζ20003ζ73ζ43ζ000000000−ζ8−ζ5−ζ2000−ζ7−ζ4−ζ000000000
χ523−3−3i32−3+3i32-1331+i32−3−3i32−3−3i321−i32−3+3i32−3+3i32-1-13-1-1-11+i321+i32−3−3i321+i321+i321+i321−i321−i32−3+3i321−i321−i321−i323ζ23ζ83ζ53ζ43ζ3ζ7000000000000−ζ2−ζ8−ζ5−ζ4−ζ−ζ7000000000000000000
χ533−3−3i32−3+3i32-1331+i32−3−3i32−3−3i321−i32−3+3i32−3+3i32-1-13-1-1-11+i321+i32−3−3i321+i321+i321+i321−i321−i32−3+3i321−i321−i321−i323ζ53ζ23ζ83ζ3ζ73ζ4000000000000−ζ5−ζ2−ζ8−ζ−ζ7−ζ4000000000000000000
χ543−3−3i32−3+3i32-1331+i32−3−3i32−3−3i321−i32−3+3i32−3+3i32-1-13-1-1-11+i321+i32−3−3i321+i321+i321+i321−i321−i32−3+3i321−i321−i321−i323ζ83ζ53ζ23ζ73ζ43ζ000000000000−ζ8−ζ5−ζ2−ζ7−ζ4−ζ000000000000000000
χ559999-3-39-3-39-3-3-3-31111-3-31111-3-31111000000000000000000000000000000000000000000
χ56999-39-3-39-3-39-3-31-3111-31-3111-31-3111000000000000000000000000000000000000000000
χ57999-3-39-3-39-3-391-3-31111-3-31111-3-3111000000000000000000000000000000000000000000
χ58999-3-3-3-3-3-3-3-3-31115-3-31115-3-31115-3-3000000000000000000000000000000000000000000
χ59999-3-3-3-3-3-3-3-3-3111-35-3111-35-3111-35-3000000000000000000000000000000000000000000
χ60999-3-3-3-3-3-3-3-3-3111-3-35111-3-35111-3-35000000000000000000000000000000000000000000
χ619−9+9i32−9−9i329-3-3−9+9i323−3i323−3i32−9−9i323+3i323+3i32-3-311113−3i323−3i32−1+i32−1+i32−1+i32−1+i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000000000
χ629−9+9i32−9−9i32-39-33−3i32−9+9i323−3i323+3i32−9−9i323+3i32-31-31113−3i32−1+i323−3i32−1+i32−1+i32−1+i323+3i32−1−i323+3i32−1−i32−1−i32−1−i32000000000000000000000000000000000000000000
χ639−9+9i32−9−9i32-3-393−3i323−3i32−9+9i323+3i323+3i32−9−9i321-3-3111−1+i323−3i323−3i32−1+i32−1+i32−1+i32−1−i323+3i323+3i32−1−i32−1−i32−1−i32000000000000000000000000000000000000000000
χ649−9+9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i321115-3-3−1+i32−1+i32−1+i32−5+5i323−3i323−3i32−1−i32−1−i32−1−i32−5−5i323+3i323+3i32000000000000000000000000000000000000000000
χ659−9+9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32111-35-3−1+i32−1+i32−1+i323−3i32−5+5i323−3i32−1−i32−1−i32−1−i323+3i32−5−5i323+3i32000000000000000000000000000000000000000000
χ669−9+9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32111-3-35−1+i32−1+i32−1+i323−3i323−3i32−5+5i32−1−i32−1−i32−1−i323+3i323+3i32−5−5i32000000000000000000000000000000000000000000
χ679−9−9i32−9+9i329-3-3−9−9i323+3i323+3i32−9+9i323−3i323−3i32-3-311113+3i323+3i32−1−i32−1−i32−1−i32−1−i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000000000
χ689−9−9i32−9+9i32-39-33+3i32−9−9i323+3i323−3i32−9+9i323−3i32-31-31113+3i32−1−i323+3i32−1−i32−1−i32−1−i323−3i32−1+i323−3i32−1+i32−1+i32−1+i32000000000000000000000000000000000000000000
χ699−9−9i32−9+9i32-3-393+3i323+3i32−9−9i323−3i323−3i32−9+9i321-3-3111−1−i323+3i323+3i32−1−i32−1−i32−1−i32−1+i323−3i323−3i32−1+i32−1+i32−1+i32000000000000000000000000000000000000000000
χ709−9−9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i321115-3-3−1−i32−1−i32−1−i32−5−5i323+3i323+3i32−1+i32−1+i32−1+i32−5+5i323−3i323−3i32000000000000000000000000000000000000000000
χ719−9−9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i32111-35-3−1−i32−1−i32−1−i323+3i32−5−5i323+3i32−1+i32−1+i32−1+i323−3i32−5+5i323−3i32000000000000000000000000000000000000000000
χ729−9−9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i32111-3-35−1−i32−1−i32−1−i323+3i323+3i32−5−5i32−1+i32−1+i32−1+i323−3i323−3i32−5+5i32000000000000000000000000000000000000000000

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