Finite Group Databasebeta

← Group #12097141

Character table — Group #12097141

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111111112222222222222222222244444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020111111112222222222222222222244444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020
order1222444422445510101010101020202020202020202244444488881010101020202020404040404040404040404040404040401010101020202020202020202020202088888888444488888888222244442244101010101010101020202020202020202244444488881010101020202020404040404040404040404040404040401010101020202020202020202020202088888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−iii−i−iii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−iii−i−iii
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiii−i−iii−i−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ171-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1i−ii−i1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-11-11-11-1i−ii−i1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1i−ii−i1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-11-11-11-1i−ii−i
χ181-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1i−ii−i1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii-11-11-11-11−ii−ii1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1i−ii−i1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii-11-11-11-11−ii−ii
χ191-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1−ii−ii1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i-11-11-11-11i−ii−i1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1−ii−ii1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i-11-11-11-11i−ii−i
χ201-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1−ii−ii1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-11-11-11-1−ii−ii1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-11-1−ii−ii1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-11-11-11-1−ii−ii
χ211-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11i−ii−i-11−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111ii−i−iii−i−i-11-111-11-1−ii−ii1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11i−ii−i-11−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111ii−i−iii−i−i-11-111-11-1−ii−ii
χ221-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11i−ii−i-11−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111−i−iii−i−iii1-11-1-11-11i−ii−i1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11i−ii−i-11−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111−i−iii−i−iii1-11-1-11-11i−ii−i
χ231-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11−ii−ii-11i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111ii−i−iii−i−i1-11-1-11-11−ii−ii1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11−ii−ii-11i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111ii−i−iii−i−i1-11-1-11-11−ii−ii
χ241-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11−ii−ii-11i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−iii−i−iii-11-111-11-1i−ii−i1-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11−ii−ii-11i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−iii−i−iii-11-111-11-1i−ii−i
χ251-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1i−i−ii-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-11111-1-1-1-111−iii−i−iii−i1-1-111-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1i−i−ii-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-11111-1-1-1-111−iii−i−iii−i1-1-11
χ261-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1i−i−ii-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111-1-11111-1-1i−i−iii−i−ii-111-11-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1i−i−ii-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111-1-11111-1-1i−i−iii−i−ii-111-1
χ271-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1−iii−i-11−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-11111-1-1-1-111i−i−iii−i−ii1-1-111-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1−iii−i-11−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-11111-1-1-1-111i−i−iii−i−ii1-1-11
χ281-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1−iii−i-11−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111-1-11111-1-1−iii−i−iii−i-111-11-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1−iii−i-11−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111-1-11111-1-1−iii−i−iii−i-111-1
χ291-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11i−i−ii1-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-111-1-1-1-111i−i−ii−iii−i-111-11-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11i−i−ii1-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-111-1-1-1-111i−i−ii−iii−i-111-1
χ301-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11i−i−ii1-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1-1-11111-1-1−iii−ii−i−ii1-1-111-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11i−i−ii1-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1-1-11111-1-1−iii−ii−i−ii1-1-11
χ311-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11−iii−i1-1i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-111-1-1-1-111−iii−ii−i−ii-111-11-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11−iii−i1-1i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-111-1-1-1-111−iii−ii−i−ii-111-1
χ321-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11−iii−i1-1i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1-1-11111-1-1i−i−ii−iii−i1-1-111-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11−iii−i1-1i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1-1-11111-1-1i−i−ii−iii−i1-1-11
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χ1131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i−i−iii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ1141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iiiii−i−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ1151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−iii−i−iii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ1161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiii−i−iii−i−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iii
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χ1221-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11i−ii−i-11−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111−i−iii−i−iii1-11-1-11-11i−ii−i-111-1-1-1111-1-11-1-11111-1-1-1-1-1-111111-1−ii−ii1-1i−ii−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i-11-111-11-1−ii−ii
χ1231-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11−ii−ii-11i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111ii−i−iii−i−i1-11-1-11-11−ii−ii-111-1-1-1111-1-11-1-11111-1-1-1-1-1-111111-1i−ii−i1-1−ii−ii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii-11-111-11-1i−ii−i
χ1241-1-1111-1-1-111-111-1-1-1-1111111-1-1-1-1-11−ii−ii-11i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−iii−i−iii-11-111-11-1i−ii−i-111-1-1-1111-1-11-1-11111-1-1-1-1-1-111111-1i−ii−i1-1−ii−ii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-11-1-11-11−ii−ii
χ1251-1-11-1-1111-11-111-1-1-1-111-1-1-1-111111-1i−i−ii-11i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-11111-1-1-1-111−iii−i−iii−i1-1-11-111-111-1-1-11-11-1-11111-1-11111-1-1-1-1-11−iii−i1-1−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1-1-11111-1-1i−i−iii−i−ii-111-1
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χ1291-1-11-1-1111-11-111-1-1-1-111-1-1-1-11111-11i−i−ii1-1−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii11-1-111-1-1-1-111i−i−ii−iii−i-111-1-111-111-1-1-11-11-1-11111-1-11111-1-1-1-11-1−iii−i-11i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111-1-11111-1-1−iii−ii−i−ii1-1-11
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χ1944-44-4−4i4i4i−4i0000−1+5−1−51−5−1+51+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000000000000000000000-44-444i−4i−4i4i00001−51+5−1+51−5−1−51+5−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000000000000000000000
χ1954-44-4−4i4i4i−4i0000−1−5−1+51+5−1−51−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000000000000000-44-444i−4i−4i4i00001+51−5−1−51+5−1+51−5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000000000000000
χ1964-44-4−4i4i4i−4i0000−1−5−1+51+5−1−51−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000000000000000-44-444i−4i−4i4i00001+51−5−1−51+5−1+51−5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000000000000000
χ1974-4-4444-4-44-4-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000000000001−51+5−1+5−1−51−51+5−1+5−1−50000000000000000000000000000000000000000000000000000-444-4-4-444-444-41−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000−1+5−1−51−51+5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000
χ1984-4-4444-4-44-4-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000000000001+51−5−1−5−1+51+51−5−1−5−1+50000000000000000000000000000000000000000000000000000-444-4-4-444-444-41+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000−1−5−1+51+51−5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000
χ1994-4-44-4-444-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5000000000000−1+5−1−51−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000000000-444-444-4-44-44-41−51+5−1+5−1+5−1−5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000001−51+5−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000
χ2004-4-44-4-444-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5000000000000−1−5−1+51+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000000000000-444-444-4-44-44-41+51−5−1−5−1−5−1+5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000001+51−5−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000

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