Finite Group Databasebeta

← Group #11858630

Character table — Group #11858630

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222244444444444422224444448888888888883333666666121212121212121212121212111122222244444444444422224444448888888888883333666666121212121212121212121212111122222244444444444422224444448888888888883333666666121212121212121212121212
order12442224448888888888883612126661212122424242424242424242424242244222444888888888888361212666121212242424242424242424242424361212666121212242424242424242424242424661212666121212242424242424242424242424361212666121212242424242424242424242424361212666121212242424242424242424242424661212666121212242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ511111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-1
χ611111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-111
χ711111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-111
χ811111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-1
χ911-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-1
χ1011-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-11
χ1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-11
χ1211-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-1
χ1311-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-11
χ1411-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-1
χ1511-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-1
χ1611-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-11
χ172222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-2000000000000
χ182222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-20000000000002222-2-222-2-2000000000000
χ1922-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-2000000000000
χ2022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-200000000000022-2-22-2-222-2000000000000
χ214-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i000000000000000000
χ224-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i000000000000000000
χ2311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ251111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ2711111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11111-1-1-111-1-111-1-11111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11111-1-1-111-1-111-1-11111111-1-1-1-1111-1-111-1-111-1-111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11111-1-1-111-1-111-1-111
χ2811111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-11111-1-1-11111-1-111-1-111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-11111-1-1-11111-1-111-1-111111-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-11111-1-1-11111-1-111-1-1
χ2911111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-11111-111-1-1-1-11111-1-111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-11111-111-1-1-1-11111-1-111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-11111-111-1-1-1-11111-1-1
χ3011111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-11111-111-1-111-1-1-1-111
χ3111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-1-1-1111-11-11-1−ii−ii−ii−ii-11-1111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-1-1-1111-11-11-1−ii−ii−ii−ii-11-1111-1-1-11-11-11i−ii−ii−ii−i1-11-111-1-1-11-11-11i−ii−ii−ii−i1-11-1-1-1111-11-11-1−ii−ii−ii−ii-11-11
χ3211-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-11-1-1111-11-11-1−ii−iii−ii−i1-11-111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-11-1-1111-11-11-1−ii−iii−ii−i1-11-111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-11-1-1111-11-11-1−ii−iii−ii−i1-11-1
χ3311-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-11-1-1111-11-11-1i−ii−i−ii−ii1-11-111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-11-1-1111-11-11-1i−ii−i−ii−ii1-11-111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-11-1-1111-11-11-1i−ii−i−ii−ii1-11-1
χ3411-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-1-1-1111-11-11-1i−ii−ii−ii−i-11-1111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-1-1-1111-11-11-1i−ii−ii−ii−i-11-1111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-1-1-1111-11-11-1i−ii−ii−ii−i-11-11
χ3511-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-11-1-11111-11-1-1−iii−i−iii−i-111-111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-11-1-11111-11-1-1−iii−i−iii−i-111-111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-11-1-11111-11-1-1−iii−i−iii−i-111-1
χ3611-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-1-1-11111-11-1-1−iii−ii−i−ii1-1-1111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-1-1-11111-11-1-1−iii−ii−i−ii1-1-1111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-1-1-11111-11-1-1−iii−ii−i−ii1-1-11
χ3711-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-1-1-11111-11-1-1i−i−ii−iii−i1-1-1111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-1-1-11111-11-1-1i−i−ii−iii−i1-1-1111-1-1-1-11-111−iii−ii−i−ii-111-111-1-1-1-11-111−iii−ii−i−ii-111-1-1-11111-11-1-1i−i−ii−iii−i1-1-11
χ3811-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-11-1-11111-11-1-1i−i−iii−i−ii-111-111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-11-1-11111-11-1-1i−i−iii−i−ii-111-111-1-1-1-11-111−iii−i−iii−i1-1-1111-1-1-1-11-111−iii−i−iii−i1-1-11-1-11111-11-1-1i−i−iii−i−ii-111-1
χ392222-22-2-22-20000000000002222-22-2-22-2000000000000-2-2-2-22-222-220000000000002222-22-2-22-20000000000002222-22-2-22-2000000000000-2-2-2-22-222-220000000000002222-22-2-22-20000000000002222-22-2-22-2000000000000-2-2-2-22-222-22000000000000
χ402222-2-222-2-20000000000002222-2-222-2-2000000000000-2-2-2-222-2-2220000000000002222-2-222-2-20000000000002222-2-222-2-2000000000000-2-2-2-222-2-2220000000000002222-2-222-2-20000000000002222-2-222-2-2000000000000-2-2-2-222-2-222000000000000
χ4122-2-2222-2-2-200000000000022-2-2222-2-2-2000000000000-2-222-2-2-222200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-2000000000000-2-222-2-2-222200000000000022-2-2222-2-2-200000000000022-2-2222-2-2-2000000000000-2-222-2-2-2222000000000000
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χ13911111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ14011111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ14211-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-1111-1-1-11-11-11i−ii−i−ii−ii-11-11−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32
χ14311-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-1111-1-1-11-11-11−ii−iii−ii−i-11-11−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32
χ14411-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-111-1-1-11-11-11−ii−ii−ii−ii1-11-1−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32
χ14511-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-1111-1-1-1-11-111i−i−iii−i−ii1-1-11−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
χ14611-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-111-1-1-1-11-111i−i−ii−iii−i-111-1−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32
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χ15611111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1−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−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+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+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1571111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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+i32
χ1581111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−1−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−i32−1−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−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+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+i32−1+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+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32
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χ16111111-1-1-1-11-1-11111-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-11111-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+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−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−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+i321−i321−i321−i321−i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ16211111-1-1-1-11-1-111-1-11111-1-111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-11111-111-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.