Finite Group Databasebeta

← Group #13101321

Character table — Group #13101321

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196
size111122222222222222222222222222444444444444444444444444444444444444101010101010101010101010101010101010101020202020202020202020100100111122222222222222222222222222444444444444444444444444444444444444101010101010101010101010101010101010101020202020202020202020100100
order12224455551010101010101010101010102020202020202020555510101010101010101010101020202020202020202020202020202020202020208888404040404040404040404040404040404420202020202020204422224410101010101010101010101010101010202020202020202010101010101010101010101010101010202020202020202020202020202020202020202088884040404040404040404040404040404044202020202020202044
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−ii−i1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−ii−i
χ61-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ii1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−ii
χ71-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111i−iiiii−i−i−i−i−ii1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111i−iiiii−i−i−i−i−ii
χ81-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−ii−i−i−i−iiiiii−i1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−ii−i−i−i−iiiiii−i
χ922222222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520022222222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ1022222222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000-2-21−521−521+521+521−521−521+521+520022222222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000-2-21−521−521+521+521−521−521+521+5200
χ1122222222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520022222222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ1222222222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000-2-21+521+521−521−521+521+521−521−520022222222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000-2-21+521+521−521−521+521+521−521−5200
χ13222222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000222222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ14222222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000222222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ15222222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1+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+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+52000000000000222222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1+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+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+52000000000000
χ16222222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000222222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ172222-2-22222222222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-22222222222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222-2-222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36002222-2-222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600
χ192222-2-222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36002222-2-222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600
χ202222-2-222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28002222-2-222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800
χ212222-2-222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28002222-2-222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521−521+521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800
χ222222-2-2−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−5222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+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+520000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000002222-2-2−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−5222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+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+520000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000
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χ1342-22-22-22222-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-22-22-22-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
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χ1884-4-440044−1−5−1+5-44-441+51−5-4-41+51−5−1−5−1+500000000−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−50000000000000000000000000000000000000000000000000000-444-400-4-41+51−54-44-4−1−5−1+544−1−5−1+51+51−5000000001+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000
χ1894-4-4400−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+51−51+51−51+5−1+5−1−5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ143−52-1-13+52−3+523−521-11-1−3−523+52−3+5211−3−520000−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ3800000000000000000000000000000000-444-4001−51+51−51+5−1+51−5−1−51+5−1+5−1−5−1+5−1−5−1+5−1−51−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−3+5211−3−523−52−3+52-11-113+52−3−523−52-1-13+520000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ3800000000000000000000000000000000
χ1904-4-4400−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+51−51+51−51+5−1+5−1−52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ143−52-1-13+52−3+523−521-11-1−3−523+52−3+5211−3−520000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ3800000000000000000000000000000000-444-4001−51+51−51+5−1+51−5−1−51+5−1+5−1−5−1+5−1−5−1+5−1−51−51+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−3+5211−3−523−52−3+52-11-113+52−3−523−52-1-13+520000−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ3800000000000000000000000000000000
χ1914-4-4400−1+5−1−5−1−5−1+51−5−1+51+5−1−51+51−51−51+51+51−5−1−5−1+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14-13+523−52-11-1−3−523+52−3+523−521-11−3−52−3+5210000ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000000000-444-4001−51+51+51−5−1+51−5−1−51+5−1−5−1+5−1+5−1−5−1−5−1+51+51−52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ141−3−52−3+521-113+52−3−523−52−3+52-11-13+523−52-10000−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000000000
χ1924-4-4400−1+5−1−5−1−5−1+51−5−1+51+5−1−51+51−51−51+51+51−5−1−5−1+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14-13+523−52-11-1−3−523+52−3+523−521-11−3−52−3+5210000−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000000000-444-4001−51+51+51−5−1+51−5−1−51+5−1−5−1+5−1+5−1−5−1−5−1+51+51−5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ141−3−52−3+521-113+52−3−523−52−3+52-11-13+523−52-10000ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000000000
χ1934-4-4400−1−5−1+5−1+5−1−51+5−1−51−5−1+51−51+51+51−51−51+5−1+5−1−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38-13−523+52-11-1−3+523−52−3−523+521-11−3+52−3−5210000ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000000000-444-4001+51−51−51+5−1−51+5−1+51−5−1+5−1−5−1−5−1+5−1+5−1−51−51+5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ381−3+52−3−521-113−52−3+523+52−3−52-11-13−523+52-10000−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000000000
χ1944-4-4400−1−5−1+5−1+5−1−51+5−1−51−5−1+51−51+51+51−51−51+5−1+5−1−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38-13−523+52-11-1−3+523−52−3−523+521-11−3+52−3−5210000−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000000000-444-4001+51−51−51+5−1−51+5−1+51−5−1+5−1−5−1−5−1+5−1+5−1−51−51+52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ381−3+52−3−521-113−52−3+523+52−3−52-11-13−523+52-10000ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000000000
χ1954-4-4400−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ383+52-1-13−52−3−523+521-11-1−3+523−52−3−5211−3+520000−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000000000000000-444-4001+51−51+51−5−1−51+5−1+51−5−1−5−1+5−1−5−1+5−1−5−1+51+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−3−5211−3+523+52−3−52-11-113−52−3+523+52-1-13−520000ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000000000000000
χ1964-4-4400−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−51+51−51+51−5−1−5−1+5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ383+52-1-13−52−3−523+521-11-1−3+523−52−3−5211−3+520000ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000000000000000-444-4001+51−51+51−5−1−51+5−1+51−5−1−5−1+5−1−5−1+5−1−5−1+51+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−3−5211−3+523+52−3−52-11-113−52−3+523+52-1-13−520000−ζ22+ζ38ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000000000000000

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