Finite Group Databasebeta

← Group #10631131

Character table — Group #10631131

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111111111222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444323232323232323232323232
order1222336666664444448888888812121212121212121212121224242424242424242424242424242424888888881616161616161616161616161616161624242424242424242424242424242424484848484848484848484848484848484848484848484848484848484848484844441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ7111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-111
χ8111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-11111-1-1
χ91111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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
χ101111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−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−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
χ121111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ131111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11+i321+i321+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+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ141111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11+i321+i321+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+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ151111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ161111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+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
χ171111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ191111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+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+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
χ201111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1111−i321+i321−i321+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−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−i321−i321−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−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ221111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11−i321−i321−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−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ231111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ241111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−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
χ25222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ26222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2722222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-2-2-2000000000000
χ2822222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000-2-2-2-2222200000000000000000000000000000000-2-2-2-22222-2-2-2-22222000000000000
χ2922222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000002222-2-2-2-20000000000000000000000002222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ3022222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-2-2-2-22222000000000000000000000000-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ31222222222222-2-222-2-200000000-2-2-2-22222-2-2-2-20000000000000000000022-2-222−2−222−2−222−2−222−2−2000022-2-2000022-2-222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ32222222222222-2-222-2-200000000-2-2-2-22222-2-2-2-20000000000000000000022-2-2−2−222−2−222−2−222−2−222000022-2-2000022-2-2−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ33222222222222-2-222-2-200000000-2-2-2-22222-2-2-2-200000000000000000000-2-22222−2−222−2−2−2−222−2−2220000-2-2220000-2-22222−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000
χ34222222222222-2-222-2-200000000-2-2-2-22222-2-2-2-200000000000000000000-2-222−2−222−2−22222−2−222−2−20000-2-2220000-2-222−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000
χ35222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-22222000000000000000022-2-2000022−2−2−2−22222−2−2−2−22222-2-2000022-2-2000022−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222000000000000
χ36222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-22222000000000000000022-2-20000−2−22222−2−2−2−22222−2−222-2-2000022-2-20000−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2000000000000
χ37222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-222220000000000000000-2-222000022−2−2−2−222−2−22222−2−2-2-2220000-2-222000022−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−2000000000000
χ38222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-222220000000000000000-2-2220000−2−22222−2−222−2−2−2−222-2-2220000-2-2220000−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−222000000000000
χ392222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222222-2-2-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i31−i31−i32222-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000000000000000000000000000000000
χ402222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3222222-2-2-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i31−i31−i3-2-2-2-2222200000000000000001+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000000000000000000000000000
χ412222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-2-2-22222-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000002222-2-2-2-200000000000000000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000
χ422222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-2-2-22222-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000-2-2-2-22222000000000000000000000000000000001+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000000000
χ432222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-2-2-2-2-2-2-22222−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000002222-2-2-2-2000000000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000000000000000
χ442222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-2-2-2-2-2-2-22222−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000-2-2-2-222220000000000000000000000001+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000000000
χ452222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2000000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000000000000000000022-2-222−2−222−2−222−2−222−2−20000−1−i3−1−i31+i31+i30000−1+i3−1+i31−i31−i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000000
χ462222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2000000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000000000000000000022-2-2−2−222−2−222−2−222−2−2220000−1−i3−1−i31+i31+i30000−1+i3−1+i31−i31−i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000000
χ472222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2000000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i300000000000000000000-2-22222−2−222−2−2−2−222−2−22200001+i31+i3−1−i3−1−i300001−i31−i3−1+i3−1+i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000000
χ482222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222-2-2000000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i300000000000000000000-2-222−2−222−2−22222−2−222−2−200001+i31+i3−1−i3−1−i300001−i31−i3−1+i3−1+i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000000
χ492222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-222000000001+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3000000000000000022-2-2000022−2−2−2−22222−2−2−2−222−1−i3−1−i31+i31+i30000−1+i3−1+i31−i31−i30000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000000
χ502222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-222000000001+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3000000000000000022-2-20000−2−22222−2−2−2−22222−2−2−1−i3−1−i31+i31+i30000−1+i3−1+i31−i31−i30000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000000
χ512222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-222000000001+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30000000000000000-2-222000022−2−2−2−222−2−22222−2−21+i31+i3−1−i3−1−i300001−i31−i3−1+i3−1+i30000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000000
χ522222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-222000000001+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30000000000000000-2-2220000−2−22222−2−222−2−2−2−2221+i31+i3−1−i3−1−i300001−i31−i3−1+i3−1+i30000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000000
χ532222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222222-2-2-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31−i31−i31−i31−i31+i31+i31+i31+i31+i31+i31+i31+i32222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000000000000000000000000000000000
χ542222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3222222-2-2-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31−i31−i31−i31−i31+i31+i31+i31+i31+i31+i31+i31+i3-2-2-2-2222200000000000000001−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000000000000000000000000000
χ552222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2-22222-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000002222-2-2-2-200000000000000000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000
χ562222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2-22222-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000-2-2-2-22222000000000000000000000000000000001−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3000000000000
χ572222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2-2-2-2-2-22222−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3000000002222-2-2-2-2000000000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000000000000000
χ582222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2-2-2-2-2-22222−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000-2-2-2-222220000000000000000000000001−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000000000
χ592222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-222-2-2000000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000000000000000000022-2-222−2−222−2−222−2−222−2−20000−1+i3−1+i31−i31−i30000−1−i3−1−i31+i31+i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13000000000000
χ602222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-222-2-2000000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000000000000000000022-2-2−2−222−2−222−2−222−2−2220000−1+i3−1+i31−i31−i30000−1−i3−1−i31+i31+i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13000000000000
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χ7622-2-22222-2-2-2-2-22000022-2-20000-22-220000000022-2-2000022-2-200002−2−222−2−22−222−2−222−20000-222-22−2−222−2−222−2−222−2−22−222−2−222−2−222−2−222−20000-222-20000-222-2000000000000
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χ7822-2-22222-2-2-2-2-22000022-2-20000-22-220000000022-2-2000022-2-20000−222−2−222−2−222−2−222−200002-2-22−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−200002-2-2200002-2-22000000000000
χ7922-2-22222-2-2-2-2-220000-2-2220000-22-2200000000-2-2220000-2-22200002−2−22−222−22−2−22−222−22-2-2200002−2−22−222−22−2−22−222−22−2−22−222−22−2−22−222−22-2-2200002-2-220000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.