Finite Group Databasebeta

← Group #12968901

Character table — Group #12968901

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200
size111111112222222222222222222222222222444444444444444444444444888888888888888888881010101010101010101010101010101040404040111111112222222222222222222222222222444444444444444444444444888888888888888888881010101010101010101010101010101040404040
order1222444422444444444455101010101010202020202020202010101010202020202020202020202020202020202020202044442020202020202020202020202020202088888888888888884444222244442244444444441010101010101010202020202020202010101010202020202020202020202020202020202020202044442020202020202020202020202020202088888888888888884444
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
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ101111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11
χ121111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ131111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ141111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ151111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ161111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ1722222222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000022222222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ1822222222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000000022222222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ1922222222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000022222222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+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
χ2022222222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000022222222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ212222222222-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000002222222222-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ222222222222-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000002222222222-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ232222222222-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000002222222222-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ242222222222-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000002222222222-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2522222222-2-222-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000022222222-2-222-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ2622222222-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000000022222222-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000000000
χ2722222222-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000000022222222-2-222-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000000000
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χ1382222-2-2-2-22222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000-2-2-2-22222-2-2-2-22222-2-2221+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+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
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χ1402222-2-2-2-222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000-2-2-2-22222-2-222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2222222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
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χ1442222-2-2-2-222-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000000000-2-2-2-22222-2-222-2-2-2-222221+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+52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000000000
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χ18144-4-4-4-4444-400000000-44−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000-4-44444-4-4-44000000004-41−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000
χ18244-4-4-4-4444-400000000-44−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000-4-44444-4-4-44000000004-41+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000
χ18344-4-4-4-444-44000000004-4−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−51−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000-4-44444-4-44-400000000-441−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000
χ18444-4-4-4-444-44000000004-4−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000-4-44444-4-44-400000000-441+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000
χ1854-44-44i−4i4i−4i00004i−4i004-400−1+5−1−51−51+5−1+51−5−1−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400−1+51−500−1−51+50000000000000000000000000000000000000000-44-44−4i4i−4i4i0000−4i4i00-44001−51+5−1+5−1−51−5−1+51+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ14001−5−1+5001+5−1−50000000000000000000000000000000000000000
χ1864-44-44i−4i4i−4i00004i−4i004-400−1−5−1+51+51−5−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800−1−51+500−1+51−50000000000000000000000000000000000000000-44-44−4i4i−4i4i0000−4i4i00-44001+51−5−1−5−1+51+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ38001+5−1−5001−5−1+50000000000000000000000000000000000000000
χ1874-44-44i−4i4i−4i0000−4i4i00-4400−1+5−1−51−51+5−1+51−5−1−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ14001−5−1+5001+5−1−50000000000000000000000000000000000000000-44-44−4i4i−4i4i00004i−4i004-4001−51+5−1+5−1−51−5−1+51+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400−1+51−500−1−51+50000000000000000000000000000000000000000
χ1884-44-44i−4i4i−4i0000−4i4i00-4400−1−5−1+51+51−5−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ38001+5−1−5001−5−1+50000000000000000000000000000000000000000-44-44−4i4i−4i4i00004i−4i004-4001+51−5−1−5−1+51+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800−1−51+500−1+51−50000000000000000000000000000000000000000
χ1894-44-4−4i4i−4i4i00004i−4i00-4400−1+5−1−51−51+5−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ14001−5−1+5001+5−1−50000000000000000000000000000000000000000-44-444i−4i4i−4i0000−4i4i004-4001−51+5−1+5−1−51−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400−1+51−500−1−51+50000000000000000000000000000000000000000
χ1904-44-4−4i4i−4i4i00004i−4i00-4400−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ38001+5−1−5001−5−1+50000000000000000000000000000000000000000-44-444i−4i4i−4i0000−4i4i004-4001+51−5−1−5−1+51+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800−1−51+500−1+51−50000000000000000000000000000000000000000
χ1914-44-4−4i4i−4i4i0000−4i4i004-400−1+5−1−51−51+5−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400−1+51−500−1−51+50000000000000000000000000000000000000000-44-444i−4i4i−4i00004i−4i00-44001−51+5−1+5−1−51−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ14001−5−1+5001+5−1−50000000000000000000000000000000000000000
χ1924-44-4−4i4i−4i4i0000−4i4i004-400−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800−1−51+500−1+51−50000000000000000000000000000000000000000-44-444i−4i4i−4i00004i−4i00-44001+51−5−1−5−1+51+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ38001+5−1−5001−5−1+50000000000000000000000000000000000000000
χ1934-4-444i−4i−4i4i004i−4i004-40000−1+5−1−51−51+51−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400−1+51−500−1−51+5000000000000000000000000000000000000000000-444-4−4i4i4i−4i00−4i4i00-4400001−51+5−1+5−1−5−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ14001−5−1+5001+5−1−5000000000000000000000000000000000000000000
χ1944-4-444i−4i−4i4i004i−4i004-40000−1−5−1+51+51−51+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800−1−51+500−1+51−5000000000000000000000000000000000000000000-444-4−4i4i4i−4i00−4i4i00-4400001+51−5−1−5−1+5−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ38001+5−1−5001−5−1+5000000000000000000000000000000000000000000
χ1954-4-444i−4i−4i4i00−4i4i00-440000−1+5−1−51−51+51−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ14001−5−1+5001+5−1−5000000000000000000000000000000000000000000-444-4−4i4i4i−4i004i−4i004-400001−51+5−1+5−1−5−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ1400−1+51−500−1−51+5000000000000000000000000000000000000000000
χ1964-4-444i−4i−4i4i00−4i4i00-440000−1−5−1+51+51−51+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ38001+5−1−5001−5−1+5000000000000000000000000000000000000000000-444-4−4i4i4i−4i004i−4i004-400001+51−5−1−5−1+5−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ3800−1−51+500−1+51−5000000000000000000000000000000000000000000
χ1974-4-44−4i4i4i−4i004i−4i00-440000−1+5−1−51−51+51−5−1+51+5−1−52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ14001−5−1+5001+5−1−5000000000000000000000000000000000000000000-444-44i−4i−4i4i00−4i4i004-400001−51+5−1+5−1−5−1+51−5−1−51+5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400−1+51−500−1−51+5000000000000000000000000000000000000000000
χ1984-4-44−4i4i4i−4i004i−4i00-440000−1−5−1+51+51−51+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ38001+5−1−5001−5−1+5000000000000000000000000000000000000000000-444-44i−4i−4i4i00−4i4i004-400001+51−5−1−5−1+5−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800−1−51+500−1+51−5000000000000000000000000000000000000000000
χ1994-4-44−4i4i4i−4i00−4i4i004-40000−1+5−1−51−51+51−5−1+51+5−1−52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ1400−1+51−500−1−51+5000000000000000000000000000000000000000000-444-44i−4i−4i4i004i−4i00-4400001−51+5−1+5−1−5−1+51−5−1−51+5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ14001−5−1+5001+5−1−5000000000000000000000000000000000000000000
χ2004-4-44−4i4i4i−4i00−4i4i004-40000−1−5−1+51+51−51+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000002ζ6+2ζ14−2ζ6−2ζ14002ζ22+2ζ38−2ζ22−2ζ3800−1−51+500−1+51−5000000000000000000000000000000000000000000-444-44i−4i−4i4i004i−4i00-4400001+51−5−1−5−1+5−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ38001+5−1−5001−5−1+5000000000000000000000000000000000000000000

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