Finite Group Databasebeta

← Group #12964351

Character table — Group #12964351

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111111112222222222222222222244444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020111111112222222222222222222244444444444444444444444444444444444488888888888888881010101010101010202020202020202020202020
order1222444444445510101010101020202020202020202444888888881010101020202020202020202020202020202020202020204040404040404040404040404040404022444444244488888888222244444444101010101010101020202020202020202444888888881010101020202020202020202020202020202020202020204040404040404040404040404040404022444444244488888888
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
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-111111111-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-11111111111-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111
χ1111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-1
χ1311111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111
χ1411111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-1
χ1511111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-111111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1
χ1611111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111
χ171111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−i1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−i
χ181111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii−ii1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii−ii
χ191111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii
χ201111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−ii−i1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−ii−i
χ211111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111i−ii−i−ii−ii1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111i−ii−i−ii−ii
χ221111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-1−ii−iii−ii−i1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-1−ii−iii−ii−i
χ231111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111−ii−iii−ii−i1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111−ii−iii−ii−i
χ241111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-1i−ii−i−ii−ii1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-1i−ii−i−ii−ii
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11i−i−iii−i−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-11-11i−i−iii−i−ii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11i−i−iii−i−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-11-11i−i−iii−i−ii
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11i−i−iii−i−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-11-1−iii−i−iii−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11i−i−iii−i−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-11-1−iii−i−iii−i
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11−iii−i−iii−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-11-11−iii−i−iii−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11−iii−i−iii−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-11-11−iii−i−iii−i
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11−iii−i−iii−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-11-1i−i−iii−i−ii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11−iii−i−iii−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-11-1i−i−iii−i−ii
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1i−i−ii−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-11-1i−i−ii−iii−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1i−i−ii−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-11-1i−i−ii−iii−i
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1i−i−ii−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-11-11−iii−ii−i−ii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1i−i−ii−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-11-11−iii−ii−i−ii
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1−iii−ii−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-11-1−iii−ii−i−ii1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1−iii−ii−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-11-1−iii−ii−i−ii
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1−iii−ii−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-11-11i−i−ii−iii−i1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1−iii−ii−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-11-11i−i−ii−iii−i
χ33222222222222−1+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+52−1−52−1−52222222222222−1+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+52−1−5200000000000000000000222222222222−1+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+52−1−52−1−52222222222222−1+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+52−1−5200000000000000000000
χ34222222222222−1+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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+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+5200000000000000000000222222222222−1+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+52−1−52−1−522222-2-2-2-2-2-2-2-2−1+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+5200000000000000000000
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χ1004-4-44−4i4i4i−4i0000−1−5−1+51+51+5−1−51−51−5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000004-4-44−4i4i4i−4i0000−1−5−1+51+51+5−1−51−51−5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ1011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ10311111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ10411111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ1051111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1061111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ1071111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1081111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ10911111111-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-111-1-111
χ11011111111-1-1-1-1111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-111-1-1
χ11111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1
χ11211111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111
χ11311111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ11411111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111
χ11511111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-1-1-111
χ11611111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1
χ1171111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−i-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-11−ii−ii−ii−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111−ii−ii−ii−ii
χ1181111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111−ii−ii−ii−ii-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-11−ii−ii−ii−ii-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1i−ii−ii−ii−i
χ1191111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-11i−ii−ii−ii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111i−ii−ii−ii−i
χ1201111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111i−ii−ii−ii−i-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-11i−ii−ii−ii−i-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1−ii−ii−ii−ii
χ1211111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111i−ii−i−ii−ii-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-11-1−ii−iii−ii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-1−ii−iii−ii−i
χ1221111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-1−ii−iii−ii−i-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-11-1−ii−iii−ii−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111i−ii−i−ii−ii
χ1231111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111−ii−iii−ii−i-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-11-1i−ii−i−ii−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-1i−ii−i−ii−ii
χ1241111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-1i−ii−i−ii−ii-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-11-1i−ii−i−ii−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111−ii−iii−ii−i
χ1251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11i−i−iii−i−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-11-11i−i−iii−i−ii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-111-1−iii−i−iii−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-11-1−iii−i−iii−i
χ1261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11i−i−iii−i−ii1111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-11-1−iii−i−iii−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-111-1−iii−i−iii−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-11-11i−i−iii−i−ii
χ1271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11−iii−i−iii−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-11-11−iii−i−iii−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-111-1i−i−iii−i−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-11-1i−i−iii−i−ii
χ1281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11−iii−i−iii−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-11-1i−i−iii−i−ii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-111-1i−i−iii−i−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-11-11−iii−i−iii−i
χ1291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1i−i−ii−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-11-1i−i−ii−iii−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-11−iii−ii−i−ii11111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-11-11−iii−ii−i−ii
χ1301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1i−i−ii−iii−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-11-11−iii−ii−i−ii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-11−iii−ii−i−ii11111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-11-1i−i−ii−iii−i
χ1311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1−iii−ii−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-11-1−iii−ii−i−ii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-11i−i−ii−iii−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-11-11i−i−ii−iii−i
χ1321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1−iii−ii−i−ii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-11-11i−i−ii−iii−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-11i−i−ii−iii−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-11-1−iii−ii−i−ii
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χ1984-4-44−4i4i4i−4i0000−1+5−1−51−51−5−1+51+51+5−1−52ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000000000-444-44i−4i−4i4i00001−51+5−1+5−1+51−5−1−5−1−51+5−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000000000
χ1994-4-44−4i4i4i−4i0000−1−5−1+51+51+5−1−51−51−5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000-444-44i−4i−4i4i00001+51−5−1−5−1−51+5−1+5−1+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ2004-4-44−4i4i4i−4i0000−1−5−1+51+51+5−1−51−51−5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000-444-44i−4i−4i4i00001+51−5−1−5−1−51+5−1+5−1+51−5−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.