Finite Group Databasebeta

← Group #12964364

Character table — Group #12964364

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212
size11111111222222222222222222222222444444444444444444444444444444444488888888888888881010101010101010101010101010101020202020202020201111111122222222222222222222222244444444444444444444444444444444448888888888888888101010101010101010101010101010102020202020202020
order1222444444444444551010101010102020202020202020248888888810101010202020202020202020202020202020202020202040404040404040404040404040404040222244448888888844448888222244444444444410101010101010102020202020202020248888888810101010202020202020202020202020202020202020202040404040404040404040404040404040222244448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1
χ1011111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ1111111111-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ1211111111-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111
χ171111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i1111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111−i−iii−i−iii-11-11−ii−ii1111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111−i−iii−i−iii-11-11−ii−ii
χ191111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii1111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii
χ201111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111ii−i−iii−i−i-11-11i−ii−i1111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111ii−i−iii−i−i-11-11i−ii−i
χ211111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1ii−i−i−i−iii-11-11i−i−ii1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1ii−i−i−i−iii-11-11i−i−ii
χ221111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111−i−iiiii−i−i1-11-1−iii−i1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111−i−iiiii−i−i1-11-1−iii−i
χ231111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−iiiii−i−i-11-11−iii−i1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−iiiii−i−i-11-11−iii−i
χ241111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111ii−i−i−i−iii1-11-1i−i−ii1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111ii−i−i−i−iii1-11-1i−i−ii
χ251111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−iii−i−i1-1-11−ii−ii1111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−iii−i−i1-1-11−ii−ii
χ261111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iii−i−iii-111-1i−ii−i1111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iii−i−iii-111-1i−ii−i
χ271111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iii−i−iii1-1-11i−ii−i1111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iii−i−iii1-1-11i−ii−i
χ281111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−iii−i−i-111-1−ii−ii1111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−iii−i−i-111-1−ii−ii
χ291111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1i−i−ii−iii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i1111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1i−i−ii−iii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ301111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1i−i−ii−iii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii1111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1i−i−ii−iii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ311111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−iii−ii−i−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii1111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−iii−ii−i−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ321111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−iii−ii−i−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i1111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−iii−ii−i−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ332222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000002222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
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χ542222-2-2-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-22−2i2i−2i2i2i−2i2i−2i1−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000000000000000002222-2-2-2-222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-22−2i2i−2i2i2i−2i2i−2i1−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14000000000000000000000000
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χ572222-2-2-2-2-2-22222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-222i−2i−2i2i2i−2i−2i2i1−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000002222-2-2-2-2-2-22222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52-222i−2i−2i2i2i−2i−2i2i1−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000000000
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χ11811111111-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ11911111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ12011111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-111
χ12211111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1231111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11−ii−ii−ii−ii-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iii−i−iii−i−iii−i−iii-1-1-1-11111−i−iii−i−iii-11-11−ii−ii
χ1241111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i11111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111−i−iii−i−iii-11-11−ii−ii-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11−ii−ii−ii−ii-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i
χ1251111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11i−ii−ii−ii−i-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111ii−i−iii−i−i-11-11i−ii−i
χ1261111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii11111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111ii−i−iii−i−i-11-11i−ii−i-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-11i−ii−ii−ii−i-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii
χ1271111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1ii−i−i−i−iii-11-11i−i−ii-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1−ii−iii−ii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111−i−iiiii−i−i1-11-1−iii−i
χ1281111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111−i−iiiii−i−i1-11-1−iii−i-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1−ii−iii−ii−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1ii−i−i−i−iii-11-11i−i−ii
χ1291111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−iiiii−i−i-11-11−iii−i-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1i−ii−i−ii−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111ii−i−i−i−iii1-11-1i−i−ii
χ1301111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111ii−i−i−i−iii1-11-1i−i−ii-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1i−ii−i−ii−ii1111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1−i−iiiii−i−i-11-11−iii−i
χ1311111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−iii−i−i1-1-11−ii−ii-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1−iii−i−iii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iii−i−iii-111-1i−ii−i
χ1321111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iii−i−iii-111-1i−ii−i-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1−iii−i−iii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−iii−i−i1-1-11−ii−ii
χ1331111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iii−i−iii1-1-11i−ii−i-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1i−i−iii−i−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−iii−i−i-111-1−ii−ii
χ1341111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−iii−i−i-111-1−ii−ii-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1i−i−iii−i−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−i−iii−i−iii1-1-11i−ii−i
χ1351111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1i−i−ii−iii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-11−iii−ii−i−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ1361111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1i−i−ii−iii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-11−iii−ii−i−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ1371111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−iii−ii−i−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-11i−i−ii−iii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ1381111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1−iii−ii−i−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-11i−i−ii−iii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ1392222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521+521+521−521−521+521+52-2-2-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ1402222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21−521+521−521−521−521+521+521+521−521−521+521+521−521−521+521+52-2-2222222221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ1412222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−521+521+521−521−521+521+521−521−52-2-2-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ1422222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21+521−521+521+521+521−521−521−521+521+521−521−521+521+521−521−52-2-2222222221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ143222222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222221−521+521−521−521−521+521+521+521−521−521+521+521−521−521+521+5222-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ144222222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222221−521+521−521−521−521+521+521+521−521−521+521+521−521−521+521+52222222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
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χ2094-4-44-4-44400000000−1+5−1−51−51−5−1+51+51+5−1−51−51−51+51+5−1+5−1+5−1−5−1−500000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000-444-444-4-4000000001−51+5−1+5−1+51−5−1−5−1−51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000
χ2104-4-44-4-44400000000−1+5−1−51−51−5−1+51+51+5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000-444-444-4-4000000001−51+5−1+5−1+51−5−1−5−1−51+5−1+5−1+5−1−5−1−51−51−51+51+500000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000
χ2114-4-44-4-44400000000−1−5−1+51+51+5−1−51−51−5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000-444-444-4-4000000001+51−5−1−5−1−51+5−1+5−1+51−5−1−5−1−5−1+5−1+51+51+51−51−500000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000
χ2124-4-44-4-44400000000−1−5−1+51+51+5−1−51−51−5−1+51+51+51−51−5−1−5−1−5−1+5−1+500000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000-444-444-4-4000000001+51−5−1−5−1−51+5−1+5−1+51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.