Finite Group Databasebeta

← Group #13180921

Character table — Group #13180921

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111111111111444444444444444444444444444444444444444444444444666666666666161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616181818181818242424242424242424242424242424242424242424242424
order1233446612121212333333333333666666666666121212121212121212121212121212121212121212121212224466661212121233333333333366666666666612121212121212121212121212121212121212121212121224661212666666666666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+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+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111
χ5111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1+i32−1+i32−1+i32111111−1−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+i32111111111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ7111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−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−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111
χ8111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ9111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1−i32−1−i32−1−i32111111−1+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−i32111111111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ101111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ111111-1-111-1-1-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-111-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321-111-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ121111-1-111-1-1-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-111-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321-111-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ131111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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−i321-111-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111
χ141111-1-111-1-1-1-1−1−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+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−i32-1-111-1-1-1-11111−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321-111-1-11+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
χ151111-1-111-1-1-1-1−1−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+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+i32-1-111-1-1-1-11111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-11-111-1-11+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
χ161111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+i321-111-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111
χ171111-1-111-1-1-1-1−1+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−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−i32-1-111-1-1-1-11111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-11-111-1-11−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
χ181111-1-111-1-1-1-1−1+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−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+i32-1-111-1-1-1-11111−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321-111-1-11−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
χ1911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ2011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ2111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−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+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ2211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−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+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32
χ2311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ2411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321
χ2511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−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+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32
χ2611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−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+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ2811−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ2911−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321-1−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11−i32-11+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ3011−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i3211−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11-1−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i321−i32-11+i321+i321−i32-11−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ3111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321-1−1−i32−1+i321+i321−i321+i321−i32-11−i32-11+i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32
χ3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−i321−i32-1-11+i321+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11-1−1−i32−1+i321+i321−i321+i321−i32-11−i32-11+i321+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ3311−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i3211+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i321+i321−i32-11−i32-11+i321−i32-11+i321+i321−i32-1−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321
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χ3511−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32-1-11+i321+i321−i321−i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321-1−1−i32−1+i321+i321−i321−i32-11+i321+i321−i32-11+i321−i32-11−i32-11+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32
χ3611−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1+i321−1−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−i321−i32-1-11+i321+i321-1−1−i32−1+i321+i321−i321−i32-11+i321+i321−i32-11−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
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χ3811−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+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−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
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χ1364-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ74ζ7−4ζ114ζ11-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−2i2i−2ζ72ζ7−2ζ112ζ11−2i2i−2ζ72ζ7−2ζ112ζ11−2i2i−2ζ72ζ7−2ζ112ζ11−2i2i−2ζ72ζ7−2ζ112ζ110000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11000000000000000000000000000000
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χ1444-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ74ζ7−4ζ114ζ111−i31+i3-21+i3-21−i31−i31+i3-21+i3-21−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−2ζ72ζ7−2ζ112ζ11−2i2i−2ζ112ζ11−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2i2i−2ζ112ζ11−2i2i−2ζ72ζ7000000000000−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211+i32-11−i32-11−i321+i32-11−i321+i321−i321+i32-1−ζ11ζ11−ii−ζ7ζ7−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11−ii000000000000000000000000000000
χ145999999999999000000000000000000000000000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000111111000000000000000000000000
χ1469999-9-999-9-9-9-900000000000000000000000000000000000000000000000033-3-33333-3-3-3-30000000000000000000000000000000000000000000000001-111-1-1000000000000000000000000
χ14799−9−9i32−9+9i3299−9−9i32−9+9i32−9−9i32−9−9i32−9+9i32−9+9i32000000000000000000000000000000000000000000000000-3-3-3-33+3i323+3i323−3i323−3i323+3i323+3i323−3i323−3i3200000000000000000000000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32000000000000000000000000
χ14899−9−9i32−9+9i32-9-9−9−9i32−9+9i329+9i329+9i329−9i329−9i3200000000000000000000000000000000000000000000000033-3-3−3−3i32−3−3i32−3+3i32−3+3i323+3i323+3i323−3i323−3i320000000000000000000000000000000000000000000000001-1−1−i32−1+i321+i321−i32000000000000000000000000
χ14999−9+9i32−9−9i3299−9+9i32−9−9i32−9+9i32−9+9i32−9−9i32−9−9i32000000000000000000000000000000000000000000000000-3-3-3-33−3i323−3i323+3i323+3i323−3i323−3i323+3i323+3i3200000000000000000000000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32000000000000000000000000
χ15099−9+9i32−9−9i32-9-9−9+9i32−9−9i329−9i329−9i329+9i329+9i3200000000000000000000000000000000000000000000000033-3-3−3+3i32−3+3i32−3−3i32−3−3i323−3i323−3i323+3i323+3i320000000000000000000000000000000000000000000000001-1−1+i32−1−i321−i321+i32000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.