Finite Group Databasebeta

← Group #11721352

Character table — Group #11721352

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111111111333333333444444444666666666666666666121212121212121212161616161616161616161616161616161616161616161616161616161616161616161616
order1333333332666666662666666664412121212121212121212121212121212266666666999999999999999999181818181818181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ6111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ7111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+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−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ8111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+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−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ9111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+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−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ10111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8
χ11111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5
χ12111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2
χ13111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−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+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7
χ14111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−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+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4
χ15111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−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+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
χ16111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ4−ζ4−ζ4−ζ−ζ−ζ−ζ7−ζ7−ζ7
χ17111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ−ζ−ζ−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4
χ18111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4−ζ−ζ−ζ
χ191−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ7ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ7ζζ4ζ7ζζ4ζ7
χ201−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ4ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ4ζ7ζζ4ζ7ζζ4
χ211−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζζ4ζ7ζζ4ζ7ζ
χ221−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32-11−i321+i32-11−i32-11+i321+i321−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i32-11+i321+i321−i32ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ7ζζ4ζ7ζζ4ζ7−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7
χ231−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32-11−i321+i32-11−i32-11+i321+i321−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i32-11+i321+i321−i32ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ4ζ7ζζ4ζ7ζζ4−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4
χ241−1+i32−1−i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32-11−i321+i32-11−i32-11+i321+i321−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-11−i32-11+i321+i321−i32ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζζ4ζ7ζζ4ζ7ζ−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ
χ251−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i321−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321
χ261−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i321−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32
χ271−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i321−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211−1−i321−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ281−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211-11−i321+i321−i321+i321+i321−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-11−i321+i321−i321+i321+i321−i32-1-11−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321-11−i321+i321−i321+i32-11+i32-11−i321+i32-11−i32-11−i321+i321−i321+i32-1
χ291−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211-11−i321+i321−i321+i321+i321−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-11−i321+i321−i321+i321+i321−i32-1-1−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−i321+i32-11+i32-11−i32-11−i321+i321−i321+i32-11+i32-11−i32-11−i321+i32
χ301−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211-11−i321+i321−i321+i321+i321−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32-11−i321+i321−i321+i321+i321−i32-1-1−1−i321−1+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321+i32-11−i32-11−i321+i321−i321+i32-1-11−i321+i321−i321+i32-11+i32-11−i32
χ311−1+i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32ζζ4ζ7ζ7ζζ4ζ4ζ7ζζ8ζ2ζ5ζ5ζ8ζ2ζ2ζ5ζ8ζζ4ζ7ζ7ζζ4ζ4ζ7ζζ8ζ2ζ5ζ5ζ8ζ2ζ2ζ5ζ8
χ321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32ζ4ζ7ζζζ4ζ7ζ7ζζ4ζ5ζ8ζ2ζ2ζ5ζ8ζ8ζ2ζ5ζ4ζ7ζζζ4ζ7ζ7ζζ4ζ5ζ8ζ2ζ2ζ5ζ8ζ8ζ2ζ5
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χ501−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211−1+i321−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ511−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32
χ521−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211-11+i321−i321+i321−i321−i321+i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32-11+i321−i321+i321−i321−i321+i32-1-11−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321-11+i321−i321+i321−i32-11−i32-11+i321−i32-11+i32-11+i321−i321+i321−i32-1
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χ55333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ56333333333333333333-3-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111000000000000000000000000000000000000
χ57333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321+i321+i321−i321+i32000000000000000000000000000000000000
χ58333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-3-3-33−3i323−3i323+3i323+3i323−3i323+3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32000000000000000000000000000000000000
χ59333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321−i321−i321+i321−i32000000000000000000000000000000000000
χ60333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32-3-3-33+3i323+3i323−3i323−3i323+3i323−3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32000000000000000000000000000000000000
χ613−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-11−i32-11+i321+i321−i32000000000000000000000000000000000000
χ623−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i323−3+3i32−3−3i323−3+3i323−3−3i32−3−3i32−3+3i32-33−3i323+3i32-33−3i32-33+3i323+3i323−3i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32000000000000000000000000000000000000
χ633−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32-11−i321+i321−i321+i321+i321−i32-1-1000000000000000000000000000000000000
χ643−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i3233-33−3i323+3i323−3i323+3i323+3i323−3i32-3-3-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i321−1+i32−1−i32−1+i32−1−i32−1−i32−1+i3211000000000000000000000000000000000000
χ653−3+3i32−3−3i32−3−3i323−3+3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1-11−i321+i321+i32-11−i32-11−i321+i32000000000000000000000000000000000000
χ663−3+3i32−3−3i32−3−3i323−3+3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i323−3+3i32−3−3i32-33−3i323+3i323+3i32-33−3i32-33−3i323+3i32-1-11−i321−i321+i321+i321+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32000000000000000000000000000000000000
χ673−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-11+i32-11−i321−i321+i32000000000000000000000000000000000000
χ683−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i323−3−3i32−3+3i323−3−3i323−3+3i32−3+3i32−3−3i32-33+3i323−3i32-33+3i32-33−3i323−3i323+3i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32000000000000000000000000000000000000
χ693−3−3i32−3+3i32−3+3i323−3−3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-11+i321−i321−i32-11+i32-11+i321−i32000000000000000000000000000000000000
χ703−3−3i32−3+3i32−3+3i323−3−3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i323−3−3i32−3+3i32-33+3i323−3i323−3i32-33+3i32-33+3i323−3i32-1-11+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32000000000000000000000000000000000000
χ713−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-11+i321−i321+i321−i321−i321+i32-1-1000000000000000000000000000000000000
χ723−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i3233-33+3i323−3i323+3i323−3i323−3i323+3i32-3-3-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−1−i32−1+i32−1−i32−1+i32−1+i32−1−i3211000000000000000000000000000000000000
χ73666666666-2-2-2-2-2-2-2-2-20000000002-22-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000
χ74666666666-2-2-2-2-2-2-2-2-2000000000-22-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000
χ75666−3+3i3−3+3i3−3−3i3−3−3i3−3+3i3−3−3i3-2-2-21−i31−i31+i31+i31−i31+i30000000002-22-22-2−1+i31−i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1−i31+i3000000000000000000000000000000000000000000000
χ76666−3+3i3−3+3i3−3−3i3−3−3i3−3+3i3−3−3i3-2-2-21−i31−i31+i31+i31−i31+i3000000000-22-22-221−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i3000000000000000000000000000000000000000000000
χ77666−3−3i3−3−3i3−3+3i3−3+3i3−3−3i3−3+3i3-2-2-21+i31+i31−i31−i31+i31−i30000000002-22-22-2−1−i31+i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1+i31−i3000000000000000000000000000000000000000000000
χ78666−3−3i3−3−3i3−3+3i3−3+3i3−3−3i3−3+3i3-2-2-21+i31+i31−i31−i31+i31−i3000000000-22-22-221+i3−1−i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i3000000000000000000000000000000000000000000000
χ796−3+3i3−3−3i36−3+3i36−3−3i3−3−3i3−3+3i3-21−i31+i3-21−i3-21+i31+i31−i30000000002-2−1+i31−i3−1−i31+i32-2−1+i31−i3−1−i31+i32-2−1+i31−i3−1−i31+i3000000000000000000000000000000000000000000000
χ806−3+3i3−3−3i36−3+3i36−3−3i3−3−3i3−3+3i3-21−i31+i3-21−i3-21+i31+i31−i3000000000-221−i3−1+i31+i3−1−i3-221−i3−1+i31+i3−1−i3-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000000000000
χ816−3+3i3−3−3i3−3+3i3−3−3i3−3−3i3−3+3i366-21−i31+i31−i31+i31+i31−i3-2-20000000002-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i32-2−1−i31+i32-2−1+i31−i3000000000000000000000000000000000000000000000
χ826−3+3i3−3−3i3−3+3i3−3−3i3−3−3i3−3+3i366-21−i31+i31−i31+i31+i31−i3-2-2000000000-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3-221+i3−1−i3-221−i3−1+i3000000000000000000000000000000000000000000000
χ836−3+3i3−3−3i3−3−3i36−3+3i36−3+3i3−3−3i3-21−i31+i31+i3-21−i3-21−i31+i30000000002-2−1+i31−i3−1−i31+i3−1−i31+i32-2−1+i31−i3−1+i31−i3−1−i31+i32-2000000000000000000000000000000000000000000000
χ846−3+3i3−3−3i3−3−3i36−3+3i36−3+3i3−3−3i3-21−i31+i31+i3-21−i3-21−i31+i3000000000-221−i3−1+i31+i3−1−i31+i3−1−i3-221−i3−1+i31−i3−1+i31+i3−1−i3-22000000000000000000000000000000000000000000000
χ856−3−3i3−3+3i36−3−3i36−3+3i3−3+3i3−3−3i3-21+i31−i3-21+i3-21−i31−i31+i30000000002-2−1−i31+i3−1+i31−i32-2−1−i31+i3−1+i31−i32-2−1−i31+i3−1+i31−i3000000000000000000000000000000000000000000000
χ866−3−3i3−3+3i36−3−3i36−3+3i3−3+3i3−3−3i3-21+i31−i3-21+i3-21−i31−i31+i3000000000-221+i3−1−i31−i3−1+i3-221+i3−1−i31−i3−1+i3-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000000000000
χ876−3−3i3−3+3i3−3+3i36−3−3i36−3−3i3−3+3i3-21+i31−i31−i3-21+i3-21+i31−i30000000002-2−1−i31+i3−1+i31−i3−1+i31−i32-2−1−i31+i3−1−i31+i3−1+i31−i32-2000000000000000000000000000000000000000000000
χ886−3−3i3−3+3i3−3+3i36−3−3i36−3−3i3−3+3i3-21+i31−i31−i3-21+i3-21+i31−i3000000000-221+i3−1−i31−i3−1+i31−i3−1+i3-221+i3−1−i31+i3−1−i31−i3−1+i3-22000000000000000000000000000000000000000000000
χ896−3−3i3−3+3i3−3−3i3−3+3i3−3+3i3−3−3i366-21+i31−i31+i31−i31−i31+i3-2-20000000002-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i32-2−1+i31−i32-2−1−i31+i3000000000000000000000000000000000000000000000
χ906−3−3i3−3+3i3−3−3i3−3+3i3−3+3i3−3−3i366-21+i31−i31+i31−i31−i31+i3-2-2000000000-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3-221−i3−1+i3-221+i3−1−i3000000000000000000000000000000000000000000000

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