Finite Group Databasebeta

← Group #13054257

Character table — Group #13054257

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444446666666612121212121212121212121212121212121212121212121214141414141414142121212121212121282828282828282842424242
order122222223444466666667771414141414141414141414141414141414141414141212121221212128282828282828282828282842424242424242424242424242424242424242424284848484848484848484848484848484848484848484848422224444141414141414141414141414282828282828282828282828444444444444444412121212121212124444
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
χ5111111111-1-1-1-11111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ6111111111-1-1-1-11111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ7111111111-1-1-1-11111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ8111111111-1-1-1-11111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111-1-1-1-111ii−i−i11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i111iiiiii−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i11-1-11111-1-1-1-1ii−i−i11-1-1ii−i−i
χ10111-1-1-1-111ii−i−i11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i111iiiiii−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−i−iii-1-111-1-1-1-11111−i−iii-1-111−i−iii
χ11111-1-1-1-111ii−i−i11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i111iiiiii−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiii−i−i11-1-1-1-1-1-11111ii−i−i11-1-1−i−iii
χ12111-1-1-1-111ii−i−i11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i111iiiiii−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii−i−iii-1-1111111-1-1-1-1−i−iii-1-111ii−i−i
χ13111-1-1-1-111−i−iii11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii111−i−i−i−i−i−iiiiiii111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiiiii−i−i-1-111-1-1-1-11111ii−i−i-1-111ii−i−i
χ14111-1-1-1-111−i−iii11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii111−i−i−i−i−i−iiiiiii111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii11-1-11111-1-1-1-1−i−iii11-1-1−i−iii
χ15111-1-1-1-111−i−iii11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii111−i−i−i−i−i−iiiiiii111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111ii−i−i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−iii−i−i-1-1111111-1-1-1-1ii−i−i-1-111−i−iii
χ16111-1-1-1-111−i−iii11-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii111−i−i−i−i−i−iiiiiii111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111ii−i−i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−iii11-1-1-1-1-1-11111−i−iii11-1-1ii−i−i
χ1711-111-1-1-111-11-11-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1i−ii−ii−ii−iii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ1811-111-1-1-111-11-11-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1−ii−ii−ii−ii−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ1911-111-1-1-111-11-11-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-1-1-1111-1-1-1111-1-1-1111-1-1-1111i−ii−ii−ii−i−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ2011-111-1-1-111-11-11-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-1-1-1111-1-1-1111-1-1-1111-1-1-1111−ii−ii−ii−iiii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ2111-111-1-1-11-11-111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-11-1-11-11111-1-1-1111-1-1-1-1-1-1111-1-1-1111i−ii−i−ii−ii−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ2211-111-1-1-11-11-111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-11-1-11-11111-1-1-1111-1-1-1-1-1-1111-1-1-1111−ii−iii−ii−iii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ2311-111-1-1-11-11-111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-111-11-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1i−ii−i−ii−iiii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ2411-111-1-1-11-11-111-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-111-11-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1−ii−iii−ii−i−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ2511-1-1-111-11i−i−ii1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii111iii−i−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii1-1-11i−i−ii111-1-1-1-1-1-1111iii−i−i−i−i−i−iiii1-1-11−iii−i−i−iiiii−i−i1-1-11−iii−i1-1-11
χ2611-1-1-111-11i−i−ii1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii111iii−i−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii1-1-11i−i−ii111-1-1-1-1-1-1111iii−i−i−i−i−i−iiii-111-1i−i−iiii−i−i−i−iii-111-1i−i−ii-111-1
χ2711-1-1-111-11i−i−ii1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii111iii−i−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-111-1−iii−i-1-1-1111111-1-1-1−i−i−iiiiiii−i−i−i1-1-11−iii−iii−i−i−i−iii1-1-11−iii−i-111-1
χ2811-1-1-111-11i−i−ii1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii111iii−i−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-111-1−iii−i-1-1-1111111-1-1-1−i−i−iiiiiii−i−i−i-111-1i−i−ii−i−iiiii−i−i-111-1i−i−ii1-1-11
χ2911-1-1-111-11−iii−i1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i111−i−i−iiiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i1-1-11−iii−i111-1-1-1-1-1-1111−i−i−iiiiiii−i−i−i1-1-11i−i−iiii−i−i−i−iii1-1-11i−i−ii1-1-11
χ3011-1-1-111-11−iii−i1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i111−i−i−iiiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i1-1-11−iii−i111-1-1-1-1-1-1111−i−i−iiiiiii−i−i−i-111-1−iii−i−i−iiiii−i−i-111-1−iii−i-111-1
χ3111-1-1-111-11−iii−i1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i111−i−i−iiiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-111-1i−i−ii-1-1-1111111-1-1-1iii−i−i−i−i−i−iiii1-1-11i−i−ii−i−iiiii−i−i1-1-11i−i−ii-111-1
χ3211-1-1-111-11−iii−i1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i111−i−i−iiiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-111-1i−i−ii-1-1-1111111-1-1-1iii−i−i−i−i−i−iiii-111-1−iii−iii−i−i−i−iii-111-1−iii−i1-1-11
χ3322222222222222222222ζ2+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+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+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+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+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+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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χ1674-4-4-444-44-2000022-222-2-22ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ620000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62000000000000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+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−ζ74−ζ2−ζ26−ζ58−ζ82−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+ζ62−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−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
χ1684-4-4-444-44-2000022-222-2-22ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ10−2ζ38−2ζ46−2ζ74−2ζ2−2ζ26−2ζ58−2ζ82−2ζ22−2ζ34−2ζ50−2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ620000−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62000000000000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+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−ζ74−ζ2−ζ26−ζ58−ζ82−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+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.