Finite Group Databasebeta

← Group #13153412

Character table — Group #13153412

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11222222222222222223333444444444444444666666666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order122223444468812122424242433666668881212122424242424243336666666661212121212121212121212121212242424242424242424242424242424246666666661212121212121212122424242424242424242424242424242424242424242424242222224466666666666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i321111−1−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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i321111−1−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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321−i321−i32
χ51111111111111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i321111−1+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111111111111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i321111−1+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321+i321+i32
χ711111111111-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1111-1-1-1111-1-1-11-11-1
χ811111111111-1-111-1-1-1-11111111-1-1-1111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-1-1-1111-11-11
χ911111111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32111-1-1-1111-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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−i321−i321−i321−i321−i321−i321−i32111-1-1-11-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i321+i32−1+i321−i32
χ1011111111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32111-1-1-1111-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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−i321−i321−i321−i321−i321−i321−i32-1-1-1111-111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321+i32−1−i321−i32−1+i32
χ1111111111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32111-1-1-1111-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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+i321+i321+i321+i321+i321+i321+i32111-1-1-11-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i321−i32−1−i321+i32
χ1211111111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32111-1-1-1111-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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+i321+i321+i321+i321+i321+i321+i32-1-1-1111-111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321−i32−1+i321+i32−1−i32
χ13111-1-111-1-1111111111111111-1-11-1-11-1-111-1-1-1-11111-1-11-1-11111-1-11-1-11111111111111111111111111-1-11-1-11-1-11-1-11-1-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1-111-111-111-111-1-1-1-1-1
χ14111-1-111-1-1111111111111111-1-11-1-11-1-111-1-1-1-11111-1-11-1-11111-1-11-1-11111111111111111111111111-1-11-1-11-1-11-1-11-1-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-11-1-11-1-11-1-111111
χ15111-1-111-1-11111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-11-1-111-1-1-1-11−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211−1−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+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i3211-111-1-1-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321+i321+i321−i321−i32
χ16111-1-111-1-11111111111−1−i32−1+i32−1−i32−1+i321-1-11-1-11-1-111-1-1-1-11−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211−1−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+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32-1-11-1-11111+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ17111-1-111-1-11111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-11-1-111-1-1-1-11−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211−1+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−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i3211-111-1-1-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321−i321−i321+i321+i32
χ18111-1-111-1-11111111111−1+i32−1−i32−1+i32−1−i321-1-11-1-11-1-111-1-1-1-11−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211−1+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−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32-1-11-1-11111−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ19111-1-111-1-111-1-111-1-1-1-111111-1-1-1111-1-1-1-111111111-1-11-1-11111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11-1-11-1-1-1-11111-1-1-1111111-1-1-111111111-1-1-11-1111-1-1-1111-1-1-11-11-11
χ20111-1-111-1-111-1-111-1-1-1-111111-1-1-1111-1-1-1-111111111-1-11-1-11111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11-1-11-1-1-1-11111-1-1-1111111-1-1-1111111-1-1111-11-1-1-1111-1-1-1111-11-11-1
χ21111-1-111-1-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1-1-1111-1-1-1-111111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211-1-1-11-11−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ22111-1-111-1-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1-1-1111-1-1-1-111111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1111-11-11+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ23111-1-111-1-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1-1-1111-1-1-1-111111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211-1-1-11-11−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ24111-1-111-1-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1-1-1111-1-1-1-111111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1111-11-11−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ2511-11-11-11-111111111111111-11-1-11-1-11-1-1-111-1-1111-11-1-11-1111-11-1-11-1111111111111111111111111-11-1-11-1-11-1-11-1-11-1-11-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111-1-1-11-111-11-1-11-111-111-111-11-1-1-1-1
χ2611-11-11-11-111111111111111-11-1-11-1-11-1-1-111-1-1111-11-1-11-1111-11-1-11-1111111111111111111111111-11-1-11-1-11-1-11-1-11-1-11-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-11-1-11-111-11-1-11-1-11-1-11-11111
χ2711-11-11-11-11111111111−1−i32−1+i32−1−i32−1+i32-11-1-11-1-11-1-1-111-1-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i3211−1−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+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-111-1-11+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321-111-11-1-1−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i321+i321+i321−i321−i32
χ2811-11-11-11-11111111111−1−i32−1+i32−1−i32−1+i32-11-1-11-1-11-1-1-111-1-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i3211−1−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+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-111-1-11+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32-11-1-11-1111+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32
χ2911-11-11-11-11111111111−1+i32−1−i32−1+i32−1−i32-11-1-11-1-11-1-1-111-1-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i3211−1+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−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-111-1-11−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321-111-11-1-1−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i321−i321−i321+i321+i32
χ3011-11-11-11-11111111111−1+i32−1−i32−1+i32−1−i32-11-1-11-1-11-1-1-111-1-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i3211−1+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−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-111-1-11−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32-11-1-11-1111−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32
χ3111-11-11-11-111-1-111-1-1-1-11111-11-11-11-11-111-1-111111-11-1-11-1111-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11-1-11-111-1-111111-1-1-1111111-1-1-11111-11-11-1-111-11-11-11-11-11-1-11-11
χ3211-11-11-11-111-1-111-1-1-1-11111-11-11-11-11-111-1-111111-11-1-11-1111-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11-1-11-111-1-111111-1-1-1111111-1-1-1111-11-11-111-1-11-11-11-11-11-111-11-1
χ3311-11-11-11-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-11-11-11-111-1-1111−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i3211-1-111−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321-11-11-1-11−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i321+i32−1−i321−i32−1+i32
χ3411-11-11-11-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-11-11-11-111-1-1111−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i3211-1-111−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32-11-11-111-11+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i32
χ3511-11-11-11-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-11-11-11-111-1-1111−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i3211-1-111−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321-11-11-1-11−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i321−i32−1+i321+i32−1−i32
χ3611-11-11-11-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-11-11-11-111-1-1111−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i3211-1-111−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32-11-11-111-11−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i32
χ3711-1-111-1-1111111111111111-1-11-1-11-1-11-1-1-1-111111-1-11-1-11111-1-11-1-11111111111111111111111111-1-11-1-11-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1111-1-11-1-11-1-11-1-11111
χ3811-1-111-1-1111111111111111-1-11-1-11-1-11-1-1-1-111111-1-11-1-11111-1-11-1-11111111111111111111111111-1-11-1-11-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111-111-111-1-1-111-111-111-111-1-1-1-1
χ3911-1-111-1-111111111111−1−i32−1+i32−1−i32−1+i32-1-11-1-11-1-11-1-1-1-1111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i3211−1−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+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-1-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321-1-11-1-111−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ4011-1-111-1-111111111111−1−i32−1+i32−1−i32−1+i32-1-11-1-11-1-11-1-1-1-1111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i3211−1−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+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-1-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32-111-111-1-11+i32−1−i32−1−i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i32−1+i32−1+i321+i321+i321−i321−i32
χ4111-1-111-1-111111111111−1+i32−1−i32−1+i32−1−i32-1-11-1-11-1-11-1-1-1-1111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i3211−1+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−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-1-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321-1-11-1-111−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ4211-1-111-1-111111111111−1+i32−1−i32−1+i32−1−i32-1-11-1-11-1-11-1-1-1-1111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i3211−1+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−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-1-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32-111-111-1-11−i32−1+i32−1+i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i32−1−i32−1−i321−i321−i321+i321+i32
χ4311-1-111-1-1111-1-111-1-1-1-11111-1-1111-1-1-111111-1-1111-1-11-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11-1-111111-1-1111111-1-1-1111111-1-1-11-1-1-1111-11-1-1-1111-1-1-1111-11-1
χ4411-1-111-1-1111-1-111-1-1-1-11111-1-1111-1-1-111111-1-1111-1-11-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-11-1-111111-1-1111111-1-1-1111111-1-1-1-1111-1-1-11-1111-1-1-1111-1-1-11-11
χ4511-1-111-1-1111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1111-1-1-111111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321-1-1-1111-1−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i32
χ4611-1-111-1-1111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1111-1-1-111111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32-1111-1-1-111+i32−1−i32−1−i32−1−i321+i321+i321−i32−1+i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i32
χ4711-1-111-1-1111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1111-1-1-111111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321-1-1-1111-1−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i32
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χ4922222222222222222222222222222222222222-1-1-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000000000000000
χ502222222222222222222−1−i3−1+i3−1−i3−1+i3222222222222222-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000000000000000000
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χ5422222222222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i3222-2-2-2222-2-2-2-2-2-2-11−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i3211111−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321111111−i3−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000000000000000
χ552222-22-2-22-2200-2-20000222222-2000-2-2200000022222-222-2222-2-22-2-22-2-2-2-2-2-2-2-2000000000000000022-222-222-2-2-22-2-22-2-22000000000000000000000000000000000000000000000000
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χ572222-22-2-22-2200-2-20000222222-2000-2-22000000-1-1-122-222-2-1-1-1-2-22-2-22-2-2111111−3−33300−3−33300−3−333-1-11-1-11-1-1111-111-111-1−33−33−330−330−330−330−330−330−33000000000000000000000000
χ582222-22-2-22-2200-2-20000−1−i3−1+i3−1−i3−1+i322-2000-2-220000002−1−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i32−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3000000000000000022-2−1−i3−1−i31+i3−1+i3−1+i31−i3-2-221+i31+i3−1−i31−i31−i3−1+i3000000000000000000000000000000000000000000000000
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χ602222-22-2-22-2200-2-20000−1−i3−1+i3−1−i3−1+i322-2000-2-22000000-11+i321−i32−1−i3−1−i31+i3−1+i3−1+i31−i3-11+i321−i321+i31+i3−1−i31−i31−i3−1+i31+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22-1-111+i321+i32−1−i321−i321−i32−1+i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32−33−33−330−2ζ14−ζ222ζ14+ζ220−2ζ14−ζ222ζ14+ζ220−2ζ14−ζ222ζ14+ζ220ζ14+2ζ22−ζ14−2ζ220ζ14+2ζ22−ζ14−2ζ220ζ14+2ζ22−ζ14−2ζ22000000000000000000000000
χ612222-22-2-22-2200-2-20000−1+i3−1−i3−1+i3−1−i322-2000-2-220000002−1+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i32−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i31−i31+i3-2-21−i31−i31+i31+i3000000000000000022-2−1+i3−1+i31−i3−1−i3−1−i31+i3-2-221−i31−i3−1+i31+i31+i3−1−i3000000000000000000000000000000000000000000000000
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χ64222-222-22-2-2200-2-2000022222-22000-22-20000002222-222-22222-22-2-22-2-2-2-2-2-2-2-2-200000000000000002-222-222-22-22-2-22-2-22-2000000000000000000000000000000000000000000000000
χ65222-222-22-2-2200-2-2000022222-22000-22-2000000-1-1-12-222-22-1-1-1-22-2-22-2-2-211111133−3−30033−3−30033−3−3-11-1-11-1-11-11-111-111-113−3−33−3303−30−330−3303−30−330−33000000000000000000000000
χ66222-222-22-2-2200-2-2000022222-22000-22-2000000-1-1-12-222-22-1-1-1-22-2-22-2-2-2111111−3−33300−3−33300−3−333-11-1-11-1-11-11-111-111-11−333−33−30−3303−303−30−3303−303−3000000000000000000000000
χ67222-222-22-2-2200-2-20000−1−i3−1+i3−1−i3−1+i32-22000-22-20000002−1−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i32−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i31−i3-2-21+i31+i31−i31−i300000000000000002-22−1−i31+i3−1−i3−1+i31−i3−1+i3-22-21+i3−1−i31+i31−i3−1+i31−i3000000000000000000000000000000000000000000000000
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χ69222-222-22-2-2200-2-20000−1−i3−1+i3−1−i3−1+i32-22000-22-2000000-11+i321−i32−1−i31+i3−1−i3−1+i31−i3−1+i3-11+i321−i321+i3−1−i31+i31−i3−1+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22-11-11+i32−1−i321+i321−i32−1+i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32−333−33−30−2ζ14−ζ222ζ14+ζ2202ζ14+ζ22−2ζ14−ζ2202ζ14+ζ22−2ζ14−ζ220ζ14+2ζ22−ζ14−2ζ220−ζ14−2ζ22ζ14+2ζ220−ζ14−2ζ22ζ14+2ζ22000000000000000000000000
χ70222-222-22-2-2200-2-20000−1+i3−1−i3−1+i3−1−i32-22000-22-20000002−1+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i32−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i31+i3-2-21−i31−i31+i31+i300000000000000002-22−1+i31−i3−1+i3−1−i31+i3−1−i3-22-21−i3−1+i31−i31+i3−1−i31+i3000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.