Finite Group Databasebeta

← Group #12097120

Character table — Group #12097120

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888881010101010101010101010101010101010101010101010102020202020202020202020202020202020202020
order1222222244444444444455101010101010101010101010101044444444444444448888888820202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020204040404040404040404040404040404022224444444444448888888844444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ1211111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1611111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1711-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-11111-1-1-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ1811-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111-1-1-1-11111−i−iii-1-111−i−iii-1-111−i−iii
χ1911-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1ii−i−i−i−iii11-1-1-1-111-1-111−i−iiiiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i11-1-1-1-1-1-11111ii−i−i11-1-1−i−iii-1-111−i−iii
χ2011-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1ii−i−i−i−iii11-1-1-1-111-1-111−i−iiiiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−i−iii-1-1111111-1-1-1-1−i−iii-1-111ii−i−i11-1-1ii−i−i
χ2111-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iii−i−i11-1-1-1-1-1-11111−i−iii-1-111ii−i−i11-1-1−i−iii
χ2211-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−i−iii-1-1111111-1-1-1-1ii−i−i11-1-1−i−iii-1-111ii−i−i
χ2311-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1−i−iii−i−iii-1-111-1-11111-1-1ii−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-11111-1-1-1-1−i−iii-1-111−i−iii-1-111ii−i−i
χ2411-1-1-11-11ii−i−iii−i−i1-11-11111-1-1-1-111-1-111-1-1−i−iii−i−iii-1-111-1-11111-1-1ii−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111-1-1-1-11111ii−i−i11-1-1ii−i−i11-1-1−i−iii
χ2511-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-11111-1-1−i−iii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-11111-1-1-1-1ii−i−i-1-111ii−i−i-1-111−i−iii
χ2611-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-111-1-11111-1-1−i−iii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111-1-1-1-11111−i−iii11-1-1−i−iii11-1-1ii−i−i
χ2711-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iii11-1-1-1-1-1-11111ii−i−i-1-111−i−iii11-1-1ii−i−i
χ2811-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iii−i−i-1-1111111-1-1-1-1−i−iii11-1-1ii−i−i-1-111−i−iii
χ2911-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1−i−iiiii−i−i11-1-1-1-111-1-111ii−i−i−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−i−iii11-1-1-1-1-1-11111−i−iii11-1-1ii−i−i-1-111ii−i−i
χ3011-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1−i−iiiii−i−i11-1-1-1-111-1-111ii−i−i−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iii−i−i-1-1111111-1-1-1-1ii−i−i-1-111−i−iii11-1-1−i−iii
χ3111-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−iii11-1-1−i−iii11-1-1−i−iii
χ3211-1-1-11-11−i−iii−i−iii1-11-11111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111-1-1-1-11111ii−i−i-1-111ii−i−i-1-111ii−i−i
χ331-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-11-11-1i−ii−ii−ii−i1-11-1i−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i1-11-1i−ii−ii−ii−i1-11-11-11-1
χ341-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-11-11-1i−ii−ii−ii−i1-11-1i−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1-11-11−ii−ii−ii−ii-11-11−i−iii−i−iii-11-11−ii−ii−ii−ii-11-11-11-11
χ351-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-11-11-1−ii−iii−ii−i-11-11−ii−ii-11-11ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-111-1-1111-11-1i−ii−ii−ii−i1-11-1−i−iii−i−iii1-11-1i−ii−i−ii−ii-11-11-11-11
χ361-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-11-11-1−ii−iii−ii−i-11-11−ii−ii-11-11ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-111-1-111-11-11−ii−ii−ii−ii-11-11ii−i−iii−i−i-11-11−ii−iii−ii−i1-11-11-11-1
χ371-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-1-11-11i−ii−i−ii−ii1-11-1−ii−ii-11-11ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-1111-11-1i−ii−ii−ii−i1-11-1−i−iii−i−iii-11-11−ii−iii−ii−i1-11-1-11-11
χ381-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-1-11-11i−ii−i−ii−ii1-11-1−ii−ii-11-11ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111-11-11−ii−ii−ii−ii-11-11ii−i−iii−i−i1-11-1i−ii−i−ii−ii-11-111-11-1
χ391-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-1-11-11−ii−ii−ii−ii-11-11i−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i-11-11−ii−ii−ii−ii-11-111-11-1
χ401-11-11-1-11i−ii−ii−ii−i1-1-1111-1-111-1-1-1-11111-1-1-11-11−ii−ii−ii−ii-11-11i−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-1-11-11−ii−ii−ii−ii-11-11−i−iii−i−iii1-11-1i−ii−ii−ii−i1-11-1-11-11
χ411-11-11-1-11−ii−ii−ii−ii1-1-1111-1-111-1-1-1-11111-1-11-11-1i−ii−i−ii−ii-11-11i−ii−i-11-11−i−iii−i−iii11-1-1−i−iii−i−iii-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-1-111-1-1111-11-1−ii−ii−ii−ii1-11-1ii−i−iii−i−i1-11-1−ii−iii−ii−i-11-11-11-11
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χ1382-2-22-2-222-222-2-222-222-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−522i−2i−2i2i-222-22i−2i−2i2i2-2-222i−2i−2i2i2i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ141−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+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−ζ1400000000000000000000000000000000000000000000
χ1392-2-22-2-222-222-2-222-222-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−2i2i2i−2i2-2-22−2i2i2i−2i-222-22i−2i−2i2i2i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000000000000000000000000000
χ1402-2-22-2-222-222-2-222-222-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−2i2i2i−2i-222-2−2i2i2i−2i2-2-22−2i2i2i−2i−2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ141−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000000000000000000000000000000000
χ1412-2-22-2-222-222-2-222-222-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+522i−2i−2i2i2-2-222i−2i−2i2i-222-2−2i2i2i−2i−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800000000000000000000000000000000000000000000
χ1422-2-22-2-222-222-2-222-222-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+522i−2i−2i2i-222-22i−2i−2i2i2-2-222i−2i−2i2i2i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ381+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000000000000000000000000000
χ1432-2-22-2-222-222-2-222-222-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−2i2i2i−2i2-2-22−2i2i2i−2i-222-22i−2i−2i2i2i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000000000000000000000000000
χ1442-2-22-2-222-222-2-222-222-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−2i2i2i−2i-222-2−2i2i2i−2i2-2-22−2i2i2i−2i−2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ381+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800000000000000000000000000000000000000000000
χ145444444444444-4-4-4-4-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50000000000000000000000001−51+51−51+51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ146444444444444-4-4-4-4-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50000000000000000000000001+51−51+51−51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14744444444-4-4-4-44444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5000000000000000000000000−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+51−51+51−51+51−51+51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14844444444-4-4-4-44444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5000000000000000000000000−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−51+51−51+51−51+51−51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ149444-4-4-44-40000000000004444-4-444-4-444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−2222−2222−2222−2200000000000000000000
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χ15344-4-4-44-444i4i−4i−4i−4i−4i4i4i-44-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+50000000000000000000000002ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ141−51+5−1+5−1−5−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ141−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15444-4-4-44-444i4i−4i−4i−4i−4i4i4i-44-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−50000000000000000000000002ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ381+51−5−1−5−1+5−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ381+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15544-4-4-44-44−4i−4i4i4i4i4i−4i−4i-44-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+5−1+5−1−51−51+5000000000000000000000000−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ141−51+5−1+5−1−52ζ22+2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ141−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15644-4-4-44-44−4i−4i4i4i4i4i−4i−4i-44-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−5−1−5−1+51+51−5000000000000000000000000−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ381+51−5−1−5−1+52ζ6+2ζ142ζ22+2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ381+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1574-444-44-4-400000000000044-4-4-4-4-4-44444-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000
χ1584-444-44-4-400000000000044-4-4-4-4-4-44444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000
χ1594-44-44-4-444i−4i4i−4i−4i4i−4i4i-444-4−1+5−1−51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+50000000000000000000000002ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ141−51+5−1+5−1−5−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1604-44-44-4-444i−4i4i−4i−4i4i−4i4i-444-4−1−5−1+51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−50000000000000000000000002ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ381+51−5−1−5−1+5−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-44-44-4-44−4i4i−4i4i4i−4i4i−4i-444-4−1+5−1−51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+5000000000000000000000000−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ141−51+5−1+5−1−52ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1624-44-44-4-44−4i4i−4i4i4i−4i4i−4i-444-4−1−5−1+51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−5000000000000000000000000−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ381+51−5−1−5−1+52ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1634-4-44-4-4444-4-44-444-4-4-444−1+5−1−51−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−50000000000000000000000001−51+5−1+5−1−5−1+5−1−51−51+51−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-44-4-4444-4-44-444-4-4-444−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000000000001+51−5−1−5−1+5−1−5−1+51+51−51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-44-4-444-444-44-4-44-4-444−1+5−1−51−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000000000−1+5−1−51−51+51−51+5−1+5−1−51−51+51−51+51−51+5−1+5−1−5−1+5−1−51−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1664-4-44-4-444-444-44-4-44-4-444−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5000000000000000000000000−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−51+51−5−1−5−1+5−1−5−1+51+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1674-4-4-4444-400000000000044-4-4444444-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000
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χ169888-8-8-88-8000000000000−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+25−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ170888-8-8-88-8000000000000−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−25−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17188-888-8-8-8000000000000−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17288-888-8-8-8000000000000−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-888-88-8-8000000000000−2+25−2−252−252+252−252+252−252+25−2+25−2−25−2+25−2−252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-888-88-8-8000000000000−2−25−2+252+252−252+252−252+252−25−2−25−2+25−2−25−2+252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1758-8-8-8888-8000000000000−2+25−2−252−252+25−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1768-8-8-8888-8000000000000−2−25−2+252+252−25−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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