Finite Group Databasebeta

← Group #11919639

Character table — Group #11919639

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111333333333333333333333333333333666666666666666666666666666666666666666666666666646464646464646464646464
order123366224444444466661212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212121212121212121212999999181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ511−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ611−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ711−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ811−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ911−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ102-222-2-22-22222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-1-1-1-1-1-1111111
χ112-222-2-22-22222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ122-222-2-22-22222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ132-2−1−i3−1+i31+i31−i32-22222-2-2-2-2−1−i3−1+i31+i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000000000000000000000000000000000−ζ14−ζ26ζ26ζ14ζ22−ζ22−ζ34ζ34ζ14+ζ26−ζ26−ζ14−ζ22ζ22+ζ34−ζ34
χ142-2−1−i3−1+i31+i31−i32-22222-2-2-2-2−1−i3−1+i31+i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000000000000000000000000000000000ζ26ζ14−ζ14−ζ26ζ34ζ22−ζ22−ζ34−ζ26−ζ14ζ14+ζ26−ζ34−ζ22ζ22+ζ34
χ152-2−1−i3−1+i31+i31−i32-22222-2-2-2-2−1−i3−1+i31+i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000000000000000000000000000000000ζ14−ζ14−ζ26ζ26−ζ22−ζ34ζ34ζ22−ζ14ζ14+ζ26−ζ26ζ22+ζ34−ζ34−ζ22
χ162-2−1+i3−1−i31−i31+i32-22222-2-2-2-2−1+i3−1−i31−i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000000000000000000000000000000000ζ22ζ34−ζ22−ζ34ζ26−ζ14−ζ26ζ14−ζ22−ζ34ζ22+ζ34−ζ26ζ14+ζ26−ζ14
χ172-2−1+i3−1−i31−i31+i32-22222-2-2-2-2−1+i3−1−i31−i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000000000000000000000000000000000−ζ22−ζ34ζ22ζ34−ζ14−ζ26ζ14ζ26ζ22+ζ34−ζ22−ζ34ζ14+ζ26−ζ14−ζ26
χ182-2−1+i3−1−i31−i31+i32-22222-2-2-2-2−1+i3−1−i31−i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000000000000000000000000000000000ζ34−ζ22−ζ34ζ22ζ14ζ26−ζ14−ζ26−ζ34ζ22+ζ34−ζ22−ζ14−ζ26ζ14+ζ26
χ19333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2033333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2133333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1000000000000
χ2233333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13333-1-1-1-1000000000000
χ2333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13333000000000000
χ24333333-1-111−1+2i−1−2i11−1+2i−1−2i-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i3-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i3-1-1-13-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000
χ25333333-1-111−1+2i−1−2i11−1+2i−1−2i-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i-13-1-111−1−2i−1+2i−1+2i−1−2i11−1+2i−1−2i11-13-1-1-13-1-111−1−2i−1+2i−1+2i−1−2i11−1+2i−1−2i1111−1−2i−1+2i−1+2i−1−2i11−1+2i−1−2i11000000000000
χ26333333-1-111−1+2i−1−2i11−1+2i−1−2i-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i-1-13-1−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i11-1-13-1-1-13-1−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i11000000000000
χ27333333-1-111−1+2i−1−2i11−1+2i−1−2i-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i-1-1-13−1−2i−1+2i11−1−2i−1+2i1111−1−2i−1+2i-1-1-13-1-1-13−1−2i−1+2i11−1−2i−1+2i1111−1−2i−1+2i−1−2i−1+2i11−1−2i−1+2i1111−1−2i−1+2i000000000000
χ28333333-1-111−1−2i−1+2i11−1−2i−1+2i-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i3-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i3-1-1-13-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000
χ29333333-1-111−1−2i−1+2i11−1−2i−1+2i-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i-13-1-111−1+2i−1−2i−1−2i−1+2i11−1−2i−1+2i11-13-1-1-13-1-111−1+2i−1−2i−1−2i−1+2i11−1−2i−1+2i1111−1+2i−1−2i−1−2i−1+2i11−1−2i−1+2i11000000000000
χ30333333-1-111−1−2i−1+2i11−1−2i−1+2i-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i-1-13-1−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i11-1-13-1-1-13-1−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i11000000000000
χ31333333-1-111−1−2i−1+2i11−1−2i−1+2i-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i-1-1-13−1+2i−1−2i11−1+2i−1−2i1111−1+2i−1−2i-1-1-13-1-1-13−1+2i−1−2i11−1+2i−1−2i1111−1+2i−1−2i−1+2i−1−2i11−1+2i−1−2i1111−1+2i−1−2i000000000000
χ32333333-1-1−1+2i−1−2i11−1+2i−1−2i11-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i113-1-1-1−1+2i−1−2i11−1−2i−1+2i11−1+2i−1−2i113-1-1-13-1-1-1−1+2i−1−2i11−1−2i−1+2i11−1+2i−1−2i11−1+2i−1−2i11−1−2i−1+2i11−1+2i−1−2i11000000000000
χ33333333-1-1−1+2i−1−2i11−1+2i−1−2i11-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11-13-1-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i-13-1-1-13-1-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i000000000000
χ34333333-1-1−1+2i−1−2i11−1+2i−1−2i11-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11-1-13-111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i-1-13-1-1-13-111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i000000000000
χ35333333-1-1−1+2i−1−2i11−1+2i−1−2i11-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11-1-1-1311−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11-1-1-13-1-1-1311−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11000000000000
χ36333333-1-1−1−2i−1+2i11−1−2i−1+2i11-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i113-1-1-1−1−2i−1+2i11−1+2i−1−2i11−1−2i−1+2i113-1-1-13-1-1-1−1−2i−1+2i11−1+2i−1−2i11−1−2i−1+2i11−1−2i−1+2i11−1+2i−1−2i11−1−2i−1+2i11000000000000
χ37333333-1-1−1−2i−1+2i11−1−2i−1+2i11-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11-13-1-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i-13-1-1-13-1-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i000000000000
χ38333333-1-1−1−2i−1+2i11−1−2i−1+2i11-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11-1-13-111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i-1-13-1-1-13-111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i000000000000
χ39333333-1-1−1−2i−1+2i11−1−2i−1+2i11-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11-1-1-1311−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11-1-1-13-1-1-1311−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11000000000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i323333333333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ4133−3−3i32−3+3i32−3−3i32−3+3i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i323333-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ4233−3−3i32−3+3i32−3−3i32−3+3i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-13333-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-13333-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32000000000000
χ4433−3−3i32−3+3i32−3−3i32−3+3i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-133331+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i32000000000000
χ4533−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1+2i−1−2i11−1+2i−1−2i1+i321−i321+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ303-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ4633−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1+2i−1−2i11−1+2i−1−2i1+i321−i321+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30-13-1-111−1−2i−1+2i−1+2i−1−2i11−1+2i−1−2i111+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ4733−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1+2i−1−2i11−1+2i−1−2i1+i321−i321+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30-1-13-1−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i111+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ4833−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1+2i−1−2i11−1+2i−1−2i1+i321−i321+i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30-1-1-13−1−2i−1+2i11−1−2i−1+2i1111−1−2i−1+2i1+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ152ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ4933−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1−2i−1+2i11−1−2i−1+2i1+i321−i321+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ303-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ5033−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1−2i−1+2i11−1−2i−1+2i1+i321−i321+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30-13-1-111−1+2i−1−2i−1−2i−1+2i11−1−2i−1+2i111+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ5133−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1−2i−1+2i11−1−2i−1+2i1+i321−i321+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30-1-13-1−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i111+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ5233−3−3i32−3+3i32−3−3i32−3+3i32-1-111−1−2i−1+2i11−1−2i−1+2i1+i321−i321+i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30-1-1-13−1+2i−1−2i11−1+2i−1−2i1111−1+2i−1−2i1+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ5333−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1+2i−1−2i11−1+2i−1−2i111+i321−i321+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i323-1-1-1−1+2i−1−2i11−1−2i−1+2i11−1+2i−1−2i11−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ5433−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1+2i−1−2i11−1+2i−1−2i111+i321−i321+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32-13-1-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i1+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ152ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ5533−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1+2i−1−2i11−1+2i−1−2i111+i321−i321+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32-1-13-111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i1+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ5633−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1+2i−1−2i11−1+2i−1−2i111+i321−i321+i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32-1-1-1311−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i111+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ5733−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1−2i−1+2i11−1−2i−1+2i111+i321−i321+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i323-1-1-1−1−2i−1+2i11−1+2i−1−2i11−1−2i−1+2i11−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32000000000000
χ5833−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1−2i−1+2i11−1−2i−1+2i111+i321−i321+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32-13-1-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i1+i32−3−3i321+i321+i321−i32−3+3i321−i321−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30000000000000
χ5933−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1−2i−1+2i11−1−2i−1+2i111+i321−i321+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32-1-13-111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i1+i321+i32−3−3i321+i321−i321−i32−3+3i321−i32−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1+i32−1+i322ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30000000000000
χ6033−3−3i32−3+3i32−3−3i32−3+3i32-1-1−1−2i−1+2i11−1−2i−1+2i111+i321−i321+i321−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15−1−i32−1−i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−1+i32−1+i32-1-1-1311−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i111+i321+i321+i32−3−3i321−i321−i321−i32−3+3i32−1−i32−1−i32ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32ζ6+2ζ15ζ6−2ζ15ζ6−2ζ15ζ6+2ζ15−1−i32−1−i32−1+i32−1+i32−2ζ3+ζ302ζ3+ζ30−1+i32−1+i322ζ3+ζ30−2ζ3+ζ30−2ζ3+ζ302ζ3+ζ30−1+i32−1+i32000000000000
χ6133−3+3i32−3−3i32−3+3i32−3−3i323333333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ6233−3+3i32−3−3i32−3+3i32−3−3i3233-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i323333-1-1-1-1-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000
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χ936-6−3+3i3−3−3i33−3i33+3i3-2222−2+4i−2−4i-2-22−4i2+4i1−i31+i3−1+i3−1−i3−1+i3−1+i3−4ζ3+2ζ304ζ3+2ζ301−i31−i34ζ3−2ζ30−4ζ3−2ζ30−1−i3−1−i32ζ6−4ζ152ζ6+4ζ151+i31+i3−2ζ6+4ζ15−2ζ6−4ζ15000000000000000000000000000000000000000000000000000000000000
χ946-6−3+3i3−3−3i33−3i33+3i3-2222−2−4i−2+4i-2-22+4i2−4i1−i31+i3−1+i3−1−i3−1+i3−1+i34ζ3+2ζ30−4ζ3+2ζ301−i31−i3−4ζ3−2ζ304ζ3−2ζ30−1−i3−1−i32ζ6+4ζ152ζ6−4ζ151+i31+i3−2ζ6−4ζ15−2ζ6+4ζ15000000000000000000000000000000000000000000000000000000000000
χ956-6−3+3i3−3−3i33−3i33+3i3-22−2+4i−2−4i222−4i2+4i-2-21−i31+i3−1+i3−1−i3−4ζ3+2ζ304ζ3+2ζ30−1+i3−1+i34ζ3−2ζ30−4ζ3−2ζ301−i31−i32ζ6−4ζ152ζ6+4ζ15−1−i3−1−i3−2ζ6+4ζ15−2ζ6−4ζ151+i31+i3000000000000000000000000000000000000000000000000000000000000
χ966-6−3+3i3−3−3i33−3i33+3i3-22−2−4i−2+4i222+4i2−4i-2-21−i31+i3−1+i3−1−i34ζ3+2ζ30−4ζ3+2ζ30−1+i3−1+i3−4ζ3−2ζ304ζ3−2ζ301−i31−i32ζ6+4ζ152ζ6−4ζ15−1−i3−1−i3−2ζ6−4ζ15−2ζ6+4ζ151+i31+i3000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.