Finite Group Databasebeta

← Group #11757862

Character table — Group #11757862

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111111333333333333333999999999999999999999999999999121212121212121212121212121212121212363636363636363636363636
order1339999992336699991818181818183366666666999918181818181818181818181818181818333333999999999999333399999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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
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
χ4111111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ5111111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32
χ6111111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211
χ7111111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ8111111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211
χ9111111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32
χ10111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+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−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−i321−1−i321−1−i321−1+i321−1+i32
χ11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+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−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+i321−1+i321−1−i321−1−i321
χ12111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32
χ13111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+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−i3211−1+i32−1+i321−1−i32−1+i32−1+i32−1−i32−1−i321
χ14111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+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−i32111111−1+i32−1+i32−1+i321−1+i32−1−i321−1−i32−1+i321−1−i321−1+i32−1+i32−1−i32
χ15111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1−i32−1+i321−1−i3211−1+i32
χ16111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i321−1+i32−1−i32
χ17111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+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−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i3211−1−i321−1−i32−1−i32−1+i32−1+i32−1−i321−1+i32
χ18111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i321−1+i32−1−i321
χ19111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−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+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+i321−1+i321−1+i321−1−i321−1−i32
χ20111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32
χ21111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−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+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−i321−1−i321−1+i321−1+i321
χ22111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i321−1−i32−1+i32
χ23111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−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−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i321−1−i32−1+i321
χ24111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−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+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i3211−1+i321−1+i32−1+i32−1−i32−1−i32−1+i321−1−i32
χ25111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−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+i3211−1−i32−1−i321−1+i32−1−i32−1−i32−1+i32−1+i321
χ26111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−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−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1+i32−1−i321−1+i3211−1−i32
χ27111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−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+i32111111−1−i32−1−i32−1−i321−1−i32−1+i321−1+i32−1−i321−1+i321−1−i32−1−i32−1+i32
χ283333333333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233333300−3+3i32−3−3i320000000000−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000
χ293333333333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233333300−3−3i32−3+3i320000000000−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000
χ30333333333-133-1-13333-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ31333333333-133-1-13333-1-1-1-1-1-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000
χ32333333333-133-1-13333-1-1-1-1-1-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000
χ33333333333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i322−1+i3−1−i32−1+i3−1−i300001−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000000000
χ34333333333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i32−1+i3−1−i32−1−i32−1+i300001−i321+i321−i321+i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3000000000000000000000000000000
χ35333333333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i32−1−i32−1+i3−1+i3−1−i3200001−i321+i321−i321+i32−1−i32−1+i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i32000000000000000000000000000000
χ36333333333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1001+i321−i322−1−i3−1+i32−1−i3−1+i300001+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000000000
χ37333333333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1001+i321−i32−1+i32−1−i3−1−i3−1+i3200001+i321−i321+i321−i32−1+i32−1−i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i32000000000000000000000000000000
χ38333333333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1001+i321−i32−1−i3−1+i32−1+i32−1−i300001+i321−i321+i321−i32−1−i3−1+i32−1−i3−1+i32−1+i32−1−i3−1+i32−1−i3000000000000000000000000000000
χ39333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i3233−3−3i3233−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200−3+3i32−3−3i320000000000−3−3i3233−3+3i32000000000000000000000000000000000000000000
χ40333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3−3i32−3+3i32333−3−3i32−3+3i323−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200−3−3i32−3+3i3200000000003−3−3i32−3+3i323000000000000000000000000000000000000000000
χ41333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-133-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i3233-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i321−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ42333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-133-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3−3i3233−3+3i321−i321−i321+i321+i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i32000000000000000000000000000000
χ43333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-133-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i323−3+3i32−3−3i3231−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1000000000000000000000000000000
χ44333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3+3i32−3−3i32-1-1−3−3i3233−3+3i321−i321−i321−i321+i321+i321+i32001−i321+i322−1+i3−1−i32−1+i3−1−i300001+i32-1-11−i32−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3000000000000000000000000000000
χ45333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3+3i32−3−3i32-1-1−3−3i3233−3+3i321−i321−i321−i321+i321+i321+i32001−i321+i32−1+i3−1−i32−1−i32−1+i300001+i32-1-11−i32−1−i32−1+i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32000000000000000000000000000000
χ46333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3+3i32−3−3i32-1-1−3−3i3233−3+3i321−i321−i321−i321+i321+i321+i32001−i321+i32−1−i32−1+i3−1+i3−1−i3200001+i32-1-11−i322−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3000000000000000000000000000000
χ47333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3−3i32−3+3i32-1-13−3−3i32−3+3i3231−i321−i321−i321+i321+i321+i32001+i321−i322−1−i3−1+i32−1−i3−1+i30000-11+i321−i32-1−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32000000000000000000000000000000
χ48333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3−3i32−3+3i32-1-13−3−3i32−3+3i3231−i321−i321−i321+i321+i321+i32001+i321−i32−1+i32−1−i3−1−i3−1+i320000-11+i321−i32-1−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3000000000000000000000000000000
χ49333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3−3i32−3+3i32-1-13−3−3i32−3+3i3231−i321−i321−i321+i321+i321+i32001+i321−i32−1−i3−1+i32−1+i32−1−i30000-11+i321−i32-12−1−i3−1+i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000000000000000000000000000000
χ50333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3+3i32−3−3i32333−3+3i32−3−3i323−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200−3+3i32−3−3i3200000000003−3+3i32−3−3i323000000000000000000000000000000000000000000
χ51333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i3233−3+3i3233−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200−3−3i32−3+3i320000000000−3+3i3233−3−3i32000000000000000000000000000000000000000000
χ52333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-133-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ53333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-133-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i323−3−3i32−3+3i3231+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1000000000000000000000000000000
χ54333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-133-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3+3i3233−3−3i321+i321+i321−i321−i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i32000000000000000000000000000000
χ55333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3+3i32−3−3i32-1-13−3+3i32−3−3i3231+i321+i321+i321−i321−i321−i32001−i321+i322−1+i3−1−i32−1+i3−1−i30000-11−i321+i32-1−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32000000000000000000000000000000
χ56333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3+3i32−3−3i32-1-13−3+3i32−3−3i3231+i321+i321+i321−i321−i321−i32001−i321+i32−1+i3−1−i32−1−i32−1+i30000-11−i321+i32-12−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000000000000000000000000000000
χ57333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3+3i32−3−3i32-1-13−3+3i32−3−3i3231+i321+i321+i321−i321−i321−i32001−i321+i32−1−i32−1+i3−1+i3−1−i320000-11−i321+i32-1−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3000000000000000000000000000000
χ58333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3−3i32−3+3i32-1-1−3+3i3233−3−3i321+i321+i321+i321−i321−i321−i32001+i321−i322−1−i3−1+i32−1−i3−1+i300001−i32-1-11+i32−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3000000000000000000000000000000
χ59333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3−3i32−3+3i32-1-1−3+3i3233−3−3i321+i321+i321+i321−i321−i321−i32001+i321−i32−1+i32−1−i3−1−i3−1+i3200001−i32-1-11+i322−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000000000000000000000000000000
χ60333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3−3i32−3+3i32-1-1−3+3i3233−3−3i321+i321+i321+i321−i321−i321−i32001+i321−i32−1−i3−1+i32−1+i32−1−i300001−i32-1-11+i32−1+i32−1−i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32000000000000000000000000000000
χ613−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8300−3+3i32−3−3i3200003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000i33−i32−3−i323+i32−3+i32−i3ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000
χ623−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8300−3+3i32−3−3i3200003ζ3ζ43ζ73ζ23ζ53ζ80000000000000000000000000000003−i32−3−i32i3−3+i32−i33+i32ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000
χ633−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8300−3+3i32−3−3i3200003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000−3−i32i33−i32−i33+i32−3+i32−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000
χ643−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5300−3+3i32−3−3i3200003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000i33−i32−3−i323+i32−3+i32−i3−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000
χ653−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5300−3+3i32−3−3i3200003ζ43ζ73ζ3ζ83ζ23ζ50000000000000000000000000000003−i32−3−i32i3−3+i32−i33+i32ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000
χ663−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5300−3+3i32−3−3i3200003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000−3−i32i33−i32−i33+i32−3+i32ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000
χ673−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2300−3+3i32−3−3i3200003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000i33−i32−3−i323+i32−3+i32−i3ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000
χ683−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2300−3+3i32−3−3i3200003ζ73ζ3ζ43ζ53ζ83ζ20000000000000000000000000000003−i32−3−i32i3−3+i32−i33+i32−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000
χ693−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2300−3+3i32−3−3i3200003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000−3−i32i33−i32−i33+i32−3+i32ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000
χ703−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7300−3−3i32−3+3i3200003ζ23ζ83ζ53ζ43ζ3ζ70000000000000000000000000000003+i32−3+i32−i3−3−i32i33−i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000
χ713−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7300−3−3i32−3+3i3200003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000−3+i32−i33+i32i33−i32−3−i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000
χ723−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7300−3−3i32−3+3i3200003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000−i33+i32−3+i323−i32−3−i32i3−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ733−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4300−3−3i32−3+3i3200003ζ53ζ23ζ83ζ3ζ73ζ40000000000000000000000000000003+i32−3+i32−i3−3−i32i33−i32−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000
χ743−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4300−3−3i32−3+3i3200003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000−3+i32−i33+i32i33−i32−3−i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ753−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4300−3−3i32−3+3i3200003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000−i33+i32−3+i323−i32−3−i32i32ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000
χ763−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ300−3−3i32−3+3i3200003ζ83ζ53ζ23ζ73ζ43ζ0000000000000000000000000000003+i32−3+i32−i3−3−i32i33−i32−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ773−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ300−3−3i32−3+3i3200003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000−3+i32−i33+i32i33−i32−3−i322ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000
χ783−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ300−3−3i32−3+3i3200003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000−i33+i32−3+i323−i32−3−i32i3−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000
χ799−9+9i32−9−9i329ζ9ζ49ζ79ζ29ζ59ζ8-3003−3i323+3i320000−3ζ−3ζ4−3ζ7−3ζ2−3ζ5−3ζ8000000000000000000000000000000000000000000000000000000000000
χ809−9+9i32−9−9i329ζ49ζ79ζ9ζ89ζ29ζ5-3003−3i323+3i320000−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ5000000000000000000000000000000000000000000000000000000000000
χ819−9+9i32−9−9i329ζ79ζ9ζ49ζ59ζ89ζ2-3003−3i323+3i320000−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ2000000000000000000000000000000000000000000000000000000000000
χ829−9−9i32−9+9i329ζ29ζ89ζ59ζ49ζ9ζ7-3003+3i323−3i320000−3ζ2−3ζ8−3ζ5−3ζ4−3ζ−3ζ7000000000000000000000000000000000000000000000000000000000000
χ839−9−9i32−9+9i329ζ59ζ29ζ89ζ9ζ79ζ4-3003+3i323−3i320000−3ζ5−3ζ2−3ζ8−3ζ−3ζ7−3ζ4000000000000000000000000000000000000000000000000000000000000
χ849−9−9i32−9+9i329ζ89ζ59ζ29ζ79ζ49ζ-3003+3i323−3i320000−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ000000000000000000000000000000000000000000000000000000000000

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