Finite Group Databasebeta

← Group #12968893

Character table — Group #12968893

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111122222222222222444444444444888888888810101010101010104040111122222222222222444444444444888888888810101010101010104040111122222222222222444444444444888888888810101010101010104040111122222222222222444444444444888888888810101010101010104040
order1222445588881010101010102020202040404040404040404420202020202020204444888844222244101088881010101010102020202040404040404040404420202020202020204444888844222244101088881010101010102020202040404040404040404420202020202020204444888844222244101088881010101010102020202040404040404040404420202020202020204444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1
χ611111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11
χ711111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11
χ811111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1
χ9222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ10222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ11222222−1+52−1−52-2-2-2-2−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000222222−1+52−1−52-2-2-2-2−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000222222−1+52−1−52-2-2-2-2−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000222222−1+52−1−52-2-2-2-2−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ12222222−1+52−1−52-2-2-2-2−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000222222−1+52−1−52-2-2-2-2−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000222222−1+52−1−52-2-2-2-2−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000222222−1+52−1−52-2-2-2-2−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ13222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ14222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000
χ15222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ16222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ172222-2-2220000222222-2-2-2-200000000000000000022-2-20000002222-2-2220000222222-2-2-2-200000000000000000022-2-20000002222-2-2220000222222-2-2-2-200000000000000000022-2-20000002222-2-2220000222222-2-2-2-200000000000000000022-2-2000000
χ182222-2-2220000222222-2-2-2-2000000000000000000-2-2220000002222-2-2220000222222-2-2-2-2000000000000000000-2-2220000002222-2-2220000222222-2-2-2-2000000000000000000-2-2220000002222-2-2220000222222-2-2-2-2000000000000000000-2-222000000
χ1922-2-22-22222-2-2-2-222-2-2-2-22222-2-222-2-20000000000000000000022-2-22-22222-2-2-2-222-2-2-2-22222-2-222-2-20000000000000000000022-2-22-22222-2-2-2-222-2-2-2-22222-2-222-2-20000000000000000000022-2-22-22222-2-2-2-222-2-2-2-22222-2-222-2-200000000000000000000
χ2022-2-22-222-2-222-2-222-2-2-2-222-2-222-2-2220000000000000000000022-2-22-222-2-222-2-222-2-2-2-222-2-222-2-2220000000000000000000022-2-22-222-2-222-2-222-2-2-2-222-2-222-2-2220000000000000000000022-2-22-222-2-222-2-222-2-2-2-222-2-222-2-22200000000000000000000
χ2122-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000022-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000022-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000022-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000
χ2222-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000022-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000022-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000022-2-22-2−1+52−1−5222-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000
χ2322-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000022-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000022-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000022-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000
χ2422-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000022-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000022-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000022-2-22-2−1+52−1−52-2-2221−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000
χ2522-2-22-2−1−52−1+5222-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000022-2-22-2−1−52−1+5222-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000022-2-22-2−1−52−1+5222-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000022-2-22-2−1−52−1+5222-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−5200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000
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χ11922-2-22-22222-2-2-2-222-2-2-2-22222-2-222-2-20000000000000000000022-2-22-22222-2-2-2-222-2-2-2-22222-2-222-2-200000000000000000000-2-222-22-2-2-2-22222-2-22222-2-2-2-222-2-22200000000000000000000-2-222-22-2-2-2-22222-2-22222-2-2-2-222-2-22200000000000000000000
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χ1872-2-220022−222−222-2-2-2-20000−222−2−222−200000000002i−2i00−i2i2i2−i200-222-200-2-22−2−22-2-2222200002−2−222−2−220000000000−2i2i00i2−i2−i2i200-222-200-2-22−2−22-2-2222200002−2−222−2−220000000000−2i2i00i2−i2−i2i2002-2-220022−222−222-2-2-2-20000−222−2−222−200000000002i−2i00−i2i2i2−i200
χ1882-2-220022−222−222-2-2-2-20000−222−2−222−20000000000−2i2i00i2−i2−i2i200-222-200-2-22−2−22-2-2222200002−2−222−2−2200000000002i−2i00−i2i2i2−i200-222-200-2-22−2−22-2-2222200002−2−222−2−2200000000002i−2i00−i2i2i2−i2002-2-220022−222−222-2-2-2-20000−222−2−222−20000000000−2i2i00i2−i2−i2i200
χ1894444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+50000000000000000000000000000-4-4-4-4441−51+500001−51+51−51+51−51+5−1+5−1−5−1+5−1−50000000000000000000000000000-4-4-4-4441−51+500001−51+51−51+51−51+5−1+5−1−5−1+5−1−500000000000000000000000000004444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+50000000000000000000000000000
χ1904444-4-4−1−5−1+50000−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−50000000000000000000000000000-4-4-4-4441+51−500001+51−51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000000000000000-4-4-4-4441+51−500001+51−51+51−51+51−5−1−5−1+5−1−5−1+500000000000000000000000000004444-4-4−1−5−1+50000−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−50000000000000000000000000000
χ19144-4-4-44−1+5−1−500001−51+5−1+5−1−51−51+5−1+5−1−51−51+50000000000000000000000000000-4-4444-41−51+50000−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−50000000000000000000000000000-4-4444-41−51+50000−1+5−1−51−51+5−1+5−1−51−51+5−1+5−1−5000000000000000000000000000044-4-4-44−1+5−1−500001−51+5−1+5−1−51−51+5−1+5−1−51−51+50000000000000000000000000000
χ19244-4-4-44−1−5−1+500001+51−5−1−5−1+51+51−5−1−5−1+51+51−50000000000000000000000000000-4-4444-41+51−50000−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+50000000000000000000000000000-4-4444-41+51−50000−1−5−1+51+51−5−1−5−1+51+51−5−1−5−1+5000000000000000000000000000044-4-4-44−1−5−1+500001+51−5−1−5−1+51+51−5−1−5−1+51+51−50000000000000000000000000000
χ1934-44-400−1+5−1−522−2222−221−51+51−51+5−1+5−1−50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000-44-44001−51+5−2222−2222−1+5−1−5−1+5−1−51−51+50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000-44-44001−51+5−2222−2222−1+5−1−5−1+5−1−51−51+50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000004-44-400−1+5−1−522−2222−221−51+51−51+5−1+5−1−50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000
χ1944-44-400−1+5−1−5−2222−22221−51+51−51+5−1+5−1−50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000-44-44001−51+522−2222−22−1+5−1−5−1+5−1−51−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000-44-44001−51+522−2222−22−1+5−1−5−1+5−1−51−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000004-44-400−1+5−1−5−2222−22221−51+51−51+5−1+5−1−50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000
χ1954-44-400−1−5−1+522−2222−221+51−51+51−5−1−5−1+50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000-44-44001+51−5−2222−2222−1−5−1+5−1−5−1+51+51−50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000-44-44001+51−5−2222−2222−1−5−1+5−1−5−1+51+51−50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000004-44-400−1−5−1+522−2222−221+51−51+51−5−1−5−1+50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000
χ1964-44-400−1−5−1+5−2222−22221+51−51+51−5−1−5−1+50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000-44-44001+51−522−2222−22−1−5−1+5−1−5−1+51+51−50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000-44-44001+51−522−2222−22−1−5−1+5−1−5−1+51+51−50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000004-44-400−1−5−1+5−2222−22221+51−51+51−5−1−5−1+50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000
χ1974-4-4400−1+5−1−522−22−2222−1+5−1−51−51+51−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000-444-4001−51+5−222222−221−51+5−1+5−1−5−1+5−1−50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000-444-4001−51+5−222222−221−51+5−1+5−1−5−1+5−1−50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000004-4-4400−1+5−1−522−22−2222−1+5−1−51−51+51−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000
χ1984-4-4400−1+5−1−5−222222−22−1+5−1−51−51+51−51+50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000-444-4001−51+522−22−22221−51+5−1+5−1−5−1+5−1−50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000-444-4001−51+522−22−22221−51+5−1+5−1−5−1+5−1−50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000004-4-4400−1+5−1−5−222222−22−1+5−1−51−51+51−51+50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000
χ1994-4-4400−1−5−1+522−22−2222−1−5−1+51+51−51+51−50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000-444-4001+51−5−222222−221+51−5−1−5−1+5−1−5−1+50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000-444-4001+51−5−222222−221+51−5−1−5−1+5−1−5−1+50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000004-4-4400−1−5−1+522−22−2222−1−5−1+51+51−51+51−50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000
χ2004-4-4400−1−5−1+5−222222−22−1−5−1+51+51−51+51−50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000-444-4001+51−522−22−22221+51−5−1−5−1+5−1−5−1+50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000-444-4001+51−522−22−22221+51−5−1−5−1+5−1−5−1+50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000004-4-4400−1−5−1+5−222222−22−1−5−1+51+51−51+51−50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000

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