Finite Group Databasebeta

← Group #13053725

Character table — Group #13053725

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444446666666612121212121212121212121212121212121212121212121214141414141414142121212121212121282828282828282842424242
order12224444223446667771212121214141414141414141428282828282828282828282866121214141414141421212128282828282842424242424242424242424242424242424242424284848484848484848484848484848484848484848484848488888888565656565656565656565656565656565656565656565656888888884444444424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ511111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1
χ101111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−iii−i−iii-1-111
χ111111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiiii−i−iii−i−i-1-1-1-11111ii−i−iii−i−i-1-111
χ121111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1
χ131111-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii1111-1-1-1-1ii−i−i−i−iii-1-111
χ141111-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i11-1-1
χ151111-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−iii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii11-1-1
χ161111-1-1-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i1111-1-1-1-1−i−iiiii−i−i-1-111
χ1711-1-111-1-11-111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1i−ii−ii−ii−iii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ1811-1-111-1-11-111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1−ii−ii−ii−ii−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ1911-1-111-1-11-111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-1-1-1111-1-1-1111-1-1-1111-1-1-1111i−ii−ii−ii−i−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ2011-1-111-1-11-111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1111-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-1-1-1111-1-1-1111-1-1-1111-1-1-1111−ii−ii−ii−iiii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ2111-1-111-1-1-111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-11-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-11-11111-1-1-1111-1-1-1-1-1-1111-1-1-1111i−ii−i−ii−iiii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ2211-1-111-1-1-111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-11-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-11-11111-1-1-1111-1-1-1-1-1-1111-1-1-1111−ii−iii−ii−i−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ2311-1-111-1-1-111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-11-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-11-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1i−ii−i−ii−ii−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ2411-1-111-1-1-111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-11-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-11-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1−ii−iii−ii−iii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ2511-1-1-1-1111-11-11-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−i−iii−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii1-1-111-1-11−i−iiiii−i−i1-1-111-1-11−iii−i
χ2611-1-1-1-1111-11-11-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−i−iii−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii-111-1-111-1ii−i−i−i−iii-111-1-111-1i−i−ii
χ2711-1-1-1-1111-11-11-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−iii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i1-1-111-1-11ii−i−i−i−iii1-1-111-1-11i−i−ii
χ2811-1-1-1-1111-11-11-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−iii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i-111-1-111-1−i−iiiii−i−i-111-1-111-1−iii−i
χ2911-1-1-1-111-1111-1-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−ii−iii−iiii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−i1-1-11-111-1−i−iiiii−i−i1-1-11-111-1i−i−ii
χ3011-1-1-1-111-1111-1-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−ii−iii−iiii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−i-111-11-1-11ii−i−i−i−iii-111-11-1-11−iii−i
χ3111-1-1-1-111-1111-1-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−ii−i−ii−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiii1-1-11-111-1ii−i−i−i−iii1-1-11-111-1−iii−i
χ3211-1-1-1-111-1111-1-1-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−ii−i−ii−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiii-111-11-1-11−i−iiiii−i−i-111-11-1-11i−i−ii
χ332222222222222222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ742222ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ742222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ7422222222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ740000000000000000000000000000
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χ1634-4-44−4i4i4i−4i00-2002-222ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742i−2i−2i2i−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ792ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ832ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ67−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ79−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ83−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ670000000000−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74000000ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ2+ζ26+ζ58−ζ82ζ2−ζ26−ζ58+ζ82ζ22−ζ34−ζ50+ζ62−ζ22+ζ34+ζ50−ζ62ζ10−ζ38−ζ46+ζ74−ζ10+ζ38+ζ46−ζ74ζ2−ζ26−ζ58+ζ82−ζ2+ζ26+ζ58−ζ82−ζ22+ζ34+ζ50−ζ62ζ22−ζ34−ζ50+ζ62−ζ10+ζ38+ζ46−ζ74ζ10−ζ38−ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67−ζ19−ζ23+ζ47+ζ79ζ19+ζ23−ζ47−ζ79ζ43−ζ55−ζ71+ζ83−ζ43+ζ55+ζ71−ζ83ζ11+ζ31−ζ59−ζ67−ζ11−ζ31+ζ59+ζ67ζ19+ζ23−ζ47−ζ79−ζ19−ζ23+ζ47+ζ79−ζ43+ζ55+ζ71−ζ83ζ43−ζ55−ζ71+ζ83−ζ11−ζ31+ζ59+ζ67ζ11+ζ31−ζ59−ζ67000000000000000000000000000000000000000000000000000000000000
χ1644-4-44−4i4i4i−4i00-2002-222ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742i−2i−2i2i−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ792ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ832ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ67−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ79−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ83−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ670000000000−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74000000ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2−ζ26−ζ58+ζ82−ζ2+ζ26+ζ58−ζ82−ζ22+ζ34+ζ50−ζ62ζ22−ζ34−ζ50+ζ62−ζ10+ζ38+ζ46−ζ74ζ10−ζ38−ζ46+ζ74−ζ2+ζ26+ζ58−ζ82ζ2−ζ26−ζ58+ζ82ζ22−ζ34−ζ50+ζ62−ζ22+ζ34+ζ50−ζ62ζ10−ζ38−ζ46+ζ74−ζ10+ζ38+ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23−ζ47−ζ79−ζ19−ζ23+ζ47+ζ79−ζ43+ζ55+ζ71−ζ83ζ43−ζ55−ζ71+ζ83−ζ11−ζ31+ζ59+ζ67ζ11+ζ31−ζ59−ζ67−ζ19−ζ23+ζ47+ζ79ζ19+ζ23−ζ47−ζ79ζ43−ζ55−ζ71+ζ83−ζ43+ζ55+ζ71−ζ83ζ11+ζ31−ζ59−ζ67−ζ11−ζ31+ζ59+ζ67000000000000000000000000000000000000000000000000000000000000
χ1654-4-44−4i4i4i−4i00-2002-222ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822i−2i−2i2i−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ832ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ672ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ79−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ83−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ67−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ790000000000−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82000000ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22−ζ34−ζ50+ζ62−ζ22+ζ34+ζ50−ζ62−ζ10+ζ38+ζ46−ζ74ζ10−ζ38−ζ46+ζ74ζ2−ζ26−ζ58+ζ82−ζ2+ζ26+ζ58−ζ82−ζ22+ζ34+ζ50−ζ62ζ22−ζ34−ζ50+ζ62ζ10−ζ38−ζ46+ζ74−ζ10+ζ38+ζ46−ζ74−ζ2+ζ26+ζ58−ζ82ζ2−ζ26−ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79ζ43−ζ55−ζ71+ζ83−ζ43+ζ55+ζ71−ζ83−ζ11−ζ31+ζ59+ζ67ζ11+ζ31−ζ59−ζ67ζ19+ζ23−ζ47−ζ79−ζ19−ζ23+ζ47+ζ79−ζ43+ζ55+ζ71−ζ83ζ43−ζ55−ζ71+ζ83ζ11+ζ31−ζ59−ζ67−ζ11−ζ31+ζ59+ζ67−ζ19−ζ23+ζ47+ζ79ζ19+ζ23−ζ47−ζ79000000000000000000000000000000000000000000000000000000000000
χ1664-4-44−4i4i4i−4i00-2002-222ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822i−2i−2i2i−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ832ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ672ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ79−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ83−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ67−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ790000000000−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82000000ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ22+ζ34+ζ50−ζ62ζ22−ζ34−ζ50+ζ62ζ10−ζ38−ζ46+ζ74−ζ10+ζ38+ζ46−ζ74−ζ2+ζ26+ζ58−ζ82ζ2−ζ26−ζ58+ζ82ζ22−ζ34−ζ50+ζ62−ζ22+ζ34+ζ50−ζ62−ζ10+ζ38+ζ46−ζ74ζ10−ζ38−ζ46+ζ74ζ2−ζ26−ζ58+ζ82−ζ2+ζ26+ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79−ζ43+ζ55+ζ71−ζ83ζ43−ζ55−ζ71+ζ83ζ11+ζ31−ζ59−ζ67−ζ11−ζ31+ζ59+ζ67−ζ19−ζ23+ζ47+ζ79ζ19+ζ23−ζ47−ζ79ζ43−ζ55−ζ71+ζ83−ζ43+ζ55+ζ71−ζ83−ζ11−ζ31+ζ59+ζ67ζ11+ζ31−ζ59−ζ67ζ19+ζ23−ζ47−ζ79−ζ19−ζ23+ζ47+ζ79000000000000000000000000000000000000000000000000000000000000
χ1674-4-44−4i4i4i−4i00-2002-222ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622i−2i−2i2i−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ672ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ792ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ83−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ67−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ79−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ830000000000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62000000ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62ζ10−ζ38−ζ46+ζ74−ζ10+ζ38+ζ46−ζ74ζ2−ζ26−ζ58+ζ82−ζ2+ζ26+ζ58−ζ82ζ22−ζ34−ζ50+ζ62−ζ22+ζ34+ζ50−ζ62−ζ10+ζ38+ζ46−ζ74ζ10−ζ38−ζ46+ζ74−ζ2+ζ26+ζ58−ζ82ζ2−ζ26−ζ58+ζ82−ζ22+ζ34+ζ50−ζ62ζ22−ζ34−ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31−ζ59−ζ67−ζ11−ζ31+ζ59+ζ67ζ19+ζ23−ζ47−ζ79−ζ19−ζ23+ζ47+ζ79ζ43−ζ55−ζ71+ζ83−ζ43+ζ55+ζ71−ζ83−ζ11−ζ31+ζ59+ζ67ζ11+ζ31−ζ59−ζ67−ζ19−ζ23+ζ47+ζ79ζ19+ζ23−ζ47−ζ79−ζ43+ζ55+ζ71−ζ83ζ43−ζ55−ζ71+ζ83000000000000000000000000000000000000000000000000000000000000
χ1684-4-44−4i4i4i−4i00-2002-222ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622i−2i−2i2i−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ672ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ792ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ83−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ67−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ79−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ830000000000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62000000ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ10+ζ38+ζ46−ζ74ζ10−ζ38−ζ46+ζ74−ζ2+ζ26+ζ58−ζ82ζ2−ζ26−ζ58+ζ82−ζ22+ζ34+ζ50−ζ62ζ22−ζ34−ζ50+ζ62ζ10−ζ38−ζ46+ζ74−ζ10+ζ38+ζ46−ζ74ζ2−ζ26−ζ58+ζ82−ζ2+ζ26+ζ58−ζ82ζ22−ζ34−ζ50+ζ62−ζ22+ζ34+ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31+ζ59+ζ67ζ11+ζ31−ζ59−ζ67−ζ19−ζ23+ζ47+ζ79ζ19+ζ23−ζ47−ζ79−ζ43+ζ55+ζ71−ζ83ζ43−ζ55−ζ71+ζ83ζ11+ζ31−ζ59−ζ67−ζ11−ζ31+ζ59+ζ67ζ19+ζ23−ζ47−ζ79−ζ19−ζ23+ζ47+ζ79ζ43−ζ55−ζ71+ζ83−ζ43+ζ55+ζ71−ζ83000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.