Finite Group Databasebeta

← Group #10643007

Character table — Group #10643007

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111111111111222222222222222222222222444444444444444444444444444444444888888888888888888888888888888888888888888888888161616161616161616161616
order12223366666622224444666666661212121212121212222444466666688881212121212121212242424242424242424444466888888888812121212121212121212242424242424242424242424242424242424242444881212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ71111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ81111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1
χ911111111111111-1-111111111-1-1-1-111111111-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ1011111111111111-1-111111111-1-1-1-111111111-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ1111111111111111-1-111111111-1-1-1-111111111-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111
χ1211111111111111-1-111111111-1-1-1-111111111-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1
χ1311111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111
χ1411111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1
χ1511111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ1611111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111
χ171111−1−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+i321111111−1−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+i32111111−1−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+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ181111−1−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+i321111111−1−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+i3211-1-1-1-1−1−i32−1+i32111111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−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+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ191111−1−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+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32111111−1−i32−1+i32-1-1-1-1-1-11111−1−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−i321+i321+i321−i321−i32−1−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
χ201111−1−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+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-1-1-1−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1−1−i32−1+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−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ211111−1−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+i321-1-111-1-1−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111+i321−i3211-1-1-1-1-1-1-1-11+i321−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+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ221111−1−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+i321-1-111-1-1−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11+i321−i3211-1-1-1-111111+i321−i321+i321+i321−i321−i321+i321+i321−i321−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−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ231111−1−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+i321-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111111+i321−i32-1-11111-1-1-1-11+i321−i32−1−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+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ241111−1−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+i321-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i32-1-1111111111+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ251111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-111-1-11+i321−i321-111-1-111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ261111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1111+i321−i321-111-1-1-1-1111+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ271111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321−i32-11-1-11111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ281111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1111+i321−i32-11-1-111-1-1111+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ291111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i3211-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111-1-1−1−i32−1+i321-1-1-111-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i3211-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-111−1−i32−1+i321-1-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ311111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i32-1-1111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1−1−i32−1+i32-1111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321−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+i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i32-1-1111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-111−1−i32−1+i32-1111-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−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−i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ331111−1+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−i321111111−1+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−i32111111−1+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−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ341111−1+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−i321111111−1+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−i3211-1-1-1-1−1+i32−1−i32111111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+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−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ351111−1+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−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32111111−1+i32−1−i32-1-1-1-1-1-11111−1+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+i321−i321−i321+i321+i32−1+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
χ361111−1+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−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-1-1-1−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1−1+i32−1−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+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ371111−1+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−i321-1-111-1-1−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111−i321+i3211-1-1-1-1-1-1-1-11−i321+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−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ381111−1+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−i321-1-111-1-1−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11−i321+i3211-1-1-1-111111−i321+i321−i321−i321+i321+i321−i321−i321+i321+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+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ391111−1+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−i321-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111111−i321+i32-1-11111-1-1-1-11−i321+i32−1+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−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ401111−1+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−i321-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i32-1-1111111111−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ411111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-111-1-11−i321+i321-111-1-111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ421111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1111−i321+i321-111-1-1-1-1111−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ431111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321+i32-11-1-11111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ441111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1111−i321+i32-11-1-111-1-1111−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ451111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i3211-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111-1-1−1+i32−1−i321-1-1-111-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ461111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i3211-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-111−1+i32−1−i321-1-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ471111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i32-1-1111−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1−1+i32−1−i32-1111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321+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−i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ481111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i32-1-1111−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-111−1+i32−1−i32-1111-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321+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+i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ492222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2200-2-2002200000000-2-2-2-200000000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ502222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2200-2-2002200000000-2-2-2-20000000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ5122222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2002200-2-200000000222200000000000000000000002i−2i−2i2i0000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ5222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2002200-2-20000000022220000000000000000000000−2i2i2i−2i000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ53222222222222-2-2222-2-22-2-2-2-2222222-2-2-2-222-2222-2-2-2-2-2222200002-22-2-2-2-2-2000000002-20000220000000000-2-20000000000000000000000000000000000000000
χ54222222222222-2-2222-2-22-2-2-2-2222222-2-2-2-222-2-2-22-222-2-2-2-2-2-200002-22-2222200000000-220000-2-20000000000220000000000000000000000000000000000000000
χ55222222222222-2-222-222-2-2-2-2-22222-2-22222-2-2-200-2200-2-200002222-22-2200002222222200000000-2-2000000000000000000-2-2-2-20000000000000000000000000000
χ56222222222222-2-222-222-2-2-2-2-22222-2-22222-2-2-200-2200-2-20000-2-2-2-2-22-220000-2-2-2-2-2-2-2-2000000002200000000000000000022220000000000000000000000000000
χ57222222222222-2-2-2-22-2-22-2-2-2-2-2-2-2-222-2-2-2-222222-22-2-22222220000-22-22-2-2-2-200000000-220000-2-20000000000220000000000000000000000000000000000000000
χ58222222222222-2-2-2-22-2-22-2-2-2-2-2-2-2-222-2-2-2-2222-2-2-222222-2-2-2-20000-22-222222000000002-20000220000000000-2-20000000000000000000000000000000000000000
χ59222222222222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-22002-20022000022-2-22-22-200002222-2-2-2-200000000-22000000000000000000-2-2220000000000000000000000000000
χ60222222222222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-22002-200220000-2-2222-22-20000-2-2-2-22222000000002-200000000000000000022-2-20000000000000000000000000000
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χ642222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31−i31+i31+i31−i31−i31+i31−i3-20022001+i31−i300000000−1−i3−1−i3−1+i3−1+i30000000000000000000000−2i2i2i−2i000000000000000000−2ζ222ζ22−2ζ142ζ142ζ22−2ζ222ζ14−2ζ1400000000000000000000
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χ712222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-2-222-21+i31+i31−i31−i31+i31+i31−i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i32002-200−1−i3−1+i3000022-2-2−1−i31+i3−1+i31−i30000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i300000000-220000000000000000001+i31−i3−1−i3−1+i30000000000000000000000000000
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χ752222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31+i31−i31−i31+i31+i31−i31+i3-20022001−i31+i300000000−1+i3−1+i3−1−i3−1−i300000000000000000000002i−2i−2i2i0000000000000000002ζ14−2ζ142ζ22−2ζ22−2ζ142ζ14−2ζ222ζ2200000000000000000000
χ762222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31+i31−i31−i31+i31+i31−i31+i3-20022001−i31+i300000000−1+i3−1+i3−1−i3−1−i30000000000000000000000−2i2i2i−2i000000000000000000−2ζ142ζ14−2ζ222ζ222ζ14−2ζ142ζ22−2ζ2200000000000000000000
χ772222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2222-2-221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-2222-2-2-21−i31+i3−1+i3−1+i3−1−i3−1−i30000−1+i31−i3−1−i31+i31−i31−i31+i31+i3000000002-20000−1+i3−1−i300000000001−i31+i30000000000000000000000000000000000000000
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χ872-2-2222-2-2-2-2222-200-22-222-22-20000-2-22-22-2220-2200-2200-22-2200000000-22-220000000000002-20000000000-220000002-22-20000000000000000-22-22000000000000
χ882-2-2222-2-2-2-2222-200-22-222-22-20000-2-22-22-2220-2200-2200-22-2200000000-22-22000000000000-2200000000002-2000000-22-2200000000000000002-22-2000000000000
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χ922-2-2222-2-2-2-222-2200-2-222-22-220000-2-2-22-22220-22002-200-22-22000000002-22-20000000000-2200000000002-20000-22-2200000000000000002-22-20000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.