Finite Group Databasebeta

← Group #13147225

Character table — Group #13147225

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111222333444666888121212121212121212121212121212121212161616161616161616161616242424323232323232323232323232363636363636484848484848484848484848
order133333266266666666224466661212121212121212121299999918181818181812121299999918181818181824661212181818181818181818181818
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
χ4111111111111111111-1-111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111-1-111-1-1-1-11111111111−1−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
χ6111111111111111111-1-111-1-1-1-11111111111−1+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
χ7111111111-1-1-1111-1-1-11-11-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1111-1-1-1111-1-1-1
χ8111111111-1-1-1111-1-1-11-11-111-1-111-1-1111111−1−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
χ9111111111-1-1-1111-1-1-11-11-111-1-111-1-1111111−1+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
χ10111111111-1-1-1111-1-1-1-111-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1111-1-1-1111
χ11111111111-1-1-1111-1-1-1-111-1-1-11111-1-1111111−1−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
χ12111111111-1-1-1111-1-1-1-111-1-1-11111-1-1111111−1+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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ3411−1−i32−1+i32−1−i32−1+i32ζ14+ζ26−ζ26−ζ14ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ22ζ22+ζ34−ζ34
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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ3411−1−i32−1+i32−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ34−ζ22ζ22+ζ34
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+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ2211−1−i32−1+i32−1−i32−1+i32−ζ14ζ14+ζ26−ζ26−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ22+ζ34−ζ34−ζ22
χ161−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ341−1−i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34-1-11+i321−i321+i321−i32−ζ14−ζ26ζ26ζ14−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ22−ζ22−ζ34ζ34
χ171−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ341−1−i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34-1-11+i321−i321+i321−i32ζ26ζ14−ζ14−ζ26ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34ζ34ζ22−ζ22−ζ34
χ181−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ221−1−i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22-1-11+i321−i321+i321−i32ζ14−ζ14−ζ26ζ26ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−ζ22−ζ34ζ34ζ22
χ191−1−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+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ341-1−1−i32−1+i321+i321−i32ζ14+ζ26−ζ26−ζ14−ζ14−ζ26ζ26ζ14−ζ22ζ22+ζ34−ζ34ζ22−ζ22−ζ34ζ34
χ201−1−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+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ341-1−1−i32−1+i321+i321−i32−ζ26−ζ14ζ14+ζ26ζ26ζ14−ζ14−ζ26−ζ34−ζ22ζ22+ζ34ζ34ζ22−ζ22−ζ34
χ211−1−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+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ221-1−1−i32−1+i321+i321−i32−ζ14ζ14+ζ26−ζ26ζ14−ζ14−ζ26ζ26ζ22+ζ34−ζ34−ζ22−ζ22−ζ34ζ34ζ22
χ221−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34-11+i321−i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34-111+i321−i32−1−i32−1+i32−ζ14−ζ26ζ26ζ14ζ14+ζ26−ζ26−ζ14ζ22−ζ22−ζ34ζ34−ζ22ζ22+ζ34−ζ34
χ231−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34-11+i321−i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34-111+i321−i32−1−i32−1+i32ζ26ζ14−ζ14−ζ26−ζ26−ζ14ζ14+ζ26ζ34ζ22−ζ22−ζ34−ζ34−ζ22ζ22+ζ34
χ241−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22-11+i321−i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22-111+i321−i32−1−i32−1+i32ζ14−ζ14−ζ26ζ26−ζ14ζ14+ζ26−ζ26−ζ22−ζ34ζ34ζ22ζ22+ζ34−ζ34−ζ22
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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ1411−1+i32−1−i32−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ14
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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ2611−1+i32−1−i32−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ14−ζ26
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−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ2611−1+i32−1−i32−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ14+ζ26
χ281−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ141−1+i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14-1-11−i321+i321−i321+i32ζ22ζ34−ζ22−ζ34ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14ζ26−ζ14−ζ26ζ14
χ291−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ261−1+i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26-1-11−i321+i321−i321+i32−ζ22−ζ34ζ22ζ34−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26−ζ14−ζ26ζ14ζ26
χ301−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ261−1+i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26-1-11−i321+i321−i321+i32ζ34−ζ22−ζ34ζ22ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26ζ14ζ26−ζ14−ζ26
χ311−1+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−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ141-1−1+i32−1−i321−i321+i32−ζ22−ζ34ζ22+ζ34ζ22ζ34−ζ22−ζ34−ζ26ζ14+ζ26−ζ14ζ26−ζ14−ζ26ζ14
χ321−1+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−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ261-1−1+i32−1−i321−i321+i32ζ22+ζ34−ζ22−ζ34−ζ22−ζ34ζ22ζ34ζ14+ζ26−ζ14−ζ26−ζ14−ζ26ζ14ζ26
χ331−1+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−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ261-1−1+i32−1−i321−i321+i32−ζ34ζ22+ζ34−ζ22ζ34−ζ22−ζ34ζ22−ζ14−ζ26ζ14+ζ26ζ14ζ26−ζ14−ζ26
χ341−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14-11−i321+i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14-111−i321+i32−1+i32−1−i32ζ22ζ34−ζ22−ζ34−ζ22−ζ34ζ22+ζ34ζ26−ζ14−ζ26ζ14−ζ26ζ14+ζ26−ζ14
χ351−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26-11−i321+i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26-111−i321+i32−1+i32−1−i32−ζ22−ζ34ζ22ζ34ζ22+ζ34−ζ22−ζ34−ζ14−ζ26ζ14ζ26ζ14+ζ26−ζ14−ζ26
χ361−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26-11−i321+i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26-111−i321+i32−1+i32−1−i32ζ34−ζ22−ζ34ζ22−ζ34ζ22+ζ34−ζ22ζ14ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26
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Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.