Finite Group Databasebeta

← Group #13141543

Character table — Group #13141543

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222333333334444444444444444446666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212727272727272727272727272
order122234466612121212336666664488881212121224242424242424249991212121218181818181818181836363636363636363636363612121212242424242424242436363636363636363636363672727272727272727272727272727272727272727272727244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-1
χ911111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111111−1−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+i32−1−i32−1−i32−1+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+i321111−1−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+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ1011111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111111−1−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+i32−1−i32−1−i32−1+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+i321111−1−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+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ1111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11111-1-1-1-1-1-1-1-11−1−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+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ1211111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11111-1-1-1-1-1-1-1-11−1−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+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ1311111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-1-1-11111-1-1-1-11−1−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+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ1411111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-1-1-11111-1-1-1-11−1−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+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ1511111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111-1-1-1-1-1-1-1-111111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ1611111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111-1-1-1-1-1-1-1-111111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ1711111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111111−1+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−i32−1+i32−1+i32−1−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−i321111−1+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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1811111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111111−1+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−i32−1+i32−1+i32−1−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−i321111−1+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−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ1911111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11111-1-1-1-1-1-1-1-11−1+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−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ2011111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11111-1-1-1-1-1-1-1-11−1+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−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ2111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-1-1-11111-1-1-1-11−1+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−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ2211111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-1-1-11111-1-1-1-11−1+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−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ2311111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-111-1-1-1-1-1-1-1-111111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ2411111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-111-1-1-1-1-1-1-1-111111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ252222222222222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000
χ272222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000
χ282222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2922222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3222222222222222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ3022222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−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+i32000000000000
χ3122222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-2-2-2-2-22222-2-2-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ3222222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-222-2-2-2-2-2-2-2-22222-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ3322222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3222222222222222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ3422222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+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−i32000000000000
χ3522222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-2-2-2-2-22222-2-2-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3622222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-222-2-2-2-2-2-2-2-22222-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ3722222-2-2222-2-2-2-2222222222-2000022-2-200000000222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22-22-20000000022-2-222-2-222-2-2000000000000000000000000000000000000
χ3822222-2-2222-2-2-2-2222222222-2000022-2-200000000-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112-22-200000000-1-111-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−3000000000000
χ3922222-2-2222-2-2-2-2222222222-2000022-2-200000000-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112-22-200000000-1-111-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−333000000000000
χ4022222-2-2222-2-2-2-222222222-220000-2-22200000000222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2200000000-2-222-2-222-2-222000000000000000000000000000000000000
χ4122222-2-2222-2-2-2-222222222-220000-2-22200000000-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-22-220000000011-1-111-1-111-1-133−3−333−3−333−3−3−3−333−3−333−3−333000000000000
χ4222222-2-2222-2-2-2-222222222-220000-2-22200000000-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-22-220000000011-1-111-1-111-1-1−3−333−3−333−3−33333−3−333−3−333−3−3000000000000
χ4322222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-2000022-2-2000000002−1−i3−1+i31+i31+i31−i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3−1−i31+i3−1+i31−i30000000022-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000000000000000000000000000000000
χ4422222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-2000022-2-200000000-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i31+i3−1+i31−i300000000-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3233−3−32ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1133−3−32ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11000000000000
χ4522222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-2000022-2-200000000-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i31+i3−1+i31−i300000000-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−3−333−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−3−333−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11000000000000
χ4622222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-220000-2-222000000002−1−i3−1+i31+i31+i31−i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i31+i3−1−i31−i3−1+i300000000-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000
χ4722222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-220000-2-22200000000-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i3−1−i31−i3−1+i30000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3233−3−32ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−3−333−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11000000000000
χ4822222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-220000-2-22200000000-11+i321−i321+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i3−1−i31−i3−1+i30000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−3−333−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1133−3−32ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11000000000000
χ4922222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-2000022-2-2000000002−1+i3−1−i31−i31−i31+i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3−1+i31−i3−1−i31+i30000000022-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3000000000000000000000000000000000000
χ5022222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-2000022-2-200000000-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i31−i3−1−i31+i300000000-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3233−3−3−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1133−3−3−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11000000000000
χ5122222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-2000022-2-200000000-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i31−i3−1−i31+i300000000-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−3−333ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−3−333ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11000000000000
χ5222222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-220000-2-222000000002−1+i3−1−i31−i31−i31+i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i31−i3−1+i31+i3−1−i300000000-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000
χ5322222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-220000-2-22200000000-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i3−1+i31+i3−1−i30000000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3233−3−3−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−3−333ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11000000000000
χ5422222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-220000-2-22200000000-11−i321+i321−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i3−1+i31+i3−1−i30000000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−3−333ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ1133−3−3−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11000000000000
χ552-2-2222-22-2-222-2-222-2-2-2-22200002i−2i000000002i2i−2i−2i2222-22-22-2-22-2-22-2-222-2-222-2-222-2-2000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000
χ562-2-2222-22-2-222-2-222-2-2-2-22200002i−2i000000002i2i−2i−2i-1-1-12-22-2-111-111-111-1-111-1-111-1-111000000002i−2i2i−2i3−33−33−33−33−33−3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii−ii−ii000000000000
χ572-2-2222-22-2-222-2-222-2-2-2-22200002i−2i000000002i2i−2i−2i-1-1-12-22-2-111-111-111-1-111-1-111-1-111000000002i−2i2i−2i−33−33−33−33−33−33i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii−ii−ii000000000000
χ582-2-2222-22-2-222-2-222-2-2-2-2220000−2i2i00000000−2i−2i2i2i2222-22-22-2-22-2-22-2-222-2-222-2-222-2-200000000−2i2i−2i2i000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000
χ592-2-2222-22-2-222-2-222-2-2-2-2220000−2i2i00000000−2i−2i2i2i-1-1-12-22-2-111-111-111-1-111-1-111-1-11100000000−2i2i−2i2i3−33−33−33−33−33−3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−ii−ii−i000000000000
χ602-2-2222-22-2-222-2-222-2-2-2-2220000−2i2i00000000−2i−2i2i2i-1-1-12-22-2-111-111-111-1-111-1-111-1-11100000000−2i2i−2i2i−33−33−33−33−33−33−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−ii−ii−i000000000000
χ612-2-2222-22-2-222-2-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i300002i−2i000000002i2i−2i−2i2−1−i3−1+i3−1−i31+i3−1+i31−i32-2-2−1−i31+i31+i3−1+i31−i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000002ζ11−2ζ112ζ7−2ζ70000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7000000000000
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χ632-2-2222-22-2-222-2-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i300002i−2i000000002i2i−2i−2i-11+i321−i32−1−i31+i3−1+i31−i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000002ζ11−2ζ112ζ7−2ζ7−33−33−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7000000000000
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χ1251212-12-12-6006-6663−6363−63000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1261212-12-12-6006-66−6363−6363000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.