Finite Group Databasebeta

← Group #13166405

Character table — Group #13166405

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222444444446666888888888888888888889999999999991818181818181818181818181818181818181818181818181818181818182424242424242424545454545454545454545454
order1244234666121212123366121212128888336666666612121212121212121212888816161616161616168816161616242424242424242448484848484848484848484848484848242424242424242422441616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii
χ81111111111111111111111-1-1-1-111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i
χ91111-11-1-1-11-1-1111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ101111-11-1-1-11-1-1111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111
χ111111-11-1-1-11-1-1111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−i−i−iii
χ121111-11-1-1-11-1-1111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11-11−i−iiiii−i−i
χ131111-11-1-1-11-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ141111-11-1-1-11-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1
χ151111-11-1-1-11-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1−i−iiiii−i−i
χ161111-11-1-1-11-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1ii−i−i−i−iii
χ1711-1-111-1111-1-1-1-11111-1-1-1-1i−ii−i1111111111-1-1-1-1-1-1-1-1-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−iii−i−i1-1-11−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46
χ1811-1-111-1111-1-1-1-11111-1-1-1-1i−ii−i1111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−iii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−iii−i−i1-1-11ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46
χ1911-1-111-1111-1-1-1-11111-1-1-1-1i−ii−i1111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ii−i−iii−i−i-111-1−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26
χ2011-1-111-1111-1-1-1-11111-1-1-1-1i−ii−i1111111111-1-1-1-1-1-1-1-1-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iii−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ii−i−iii−i−i-111-1ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26
χ2111-1-111-1111-1-1-1-11111-1-1-1-1−ii−ii1111111111-1-1-1-1-1-1-1-1-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−i−iii−i−iii-111-1ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46
χ2211-1-111-1111-1-1-1-11111-1-1-1-1−ii−ii1111111111-1-1-1-1-1-1-1-1-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−iii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−i−iii−i−iii-111-1−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46
χ2311-1-111-1111-1-1-1-11111-1-1-1-1−ii−ii1111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii−i−iii1-1-11ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26
χ2411-1-111-1111-1-1-1-11111-1-1-1-1−ii−ii1111111111-1-1-1-1-1-1-1-1-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iii−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iii−i−iii1-1-11−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26
χ2511-1-1-111-1-1111-1-11111-1-1-1-1i−i−ii11-1-1-1-1-1-11111-1-1-1-11111ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iiiii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i−i−iii11-1-1−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46
χ2611-1-1-111-1-1111-1-11111-1-1-1-1i−i−ii11-1-1-1-1-1-11111-1-1-1-11111ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iiiii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−i−i−iii11-1-1ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46
χ2711-1-1-111-1-1111-1-11111-1-1-1-1i−i−ii11-1-1-1-1-1-11111-1-1-1-11111−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−i−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ii−i−i−i−iii-1-111−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26
χ2811-1-1-111-1-1111-1-11111-1-1-1-1i−i−ii11-1-1-1-1-1-11111-1-1-1-11111−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−i−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ii−i−i−i−iii-1-111ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26
χ2911-1-1-111-1-1111-1-11111-1-1-1-1−iii−i11-1-1-1-1-1-11111-1-1-1-11111ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iiiii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−i−iiiii−i−i-1-111ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46
χ3011-1-1-111-1-1111-1-11111-1-1-1-1−iii−i11-1-1-1-1-1-11111-1-1-1-11111ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iiiii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−i−iiiii−i−i-1-111−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46
χ3111-1-1-111-1-1111-1-11111-1-1-1-1−iii−i11-1-1-1-1-1-11111-1-1-1-11111−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−i−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iiiii−i−i11-1-1ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26
χ3211-1-1-111-1-1111-1-11111-1-1-1-1−iii−i11-1-1-1-1-1-11111-1-1-1-11111−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−i−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iiiii−i−i11-1-1−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26
χ3322222-12-1-1-1-1-1-1-1222222220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3422222-12-1-1-1-1-1-1-1222222220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000
χ3522222-12-1-1-1-1-1-1-1222222220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22i2i−2i−2i11111111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ3622222-12-1-1-1-1-1-1-1222222220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2−2i−2i2i2i11111111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ372222-2-1-211-111-1-1222222220000-1-1-2-21111-1-1-2-2-1-1-1-11111222222222222-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000
χ382222-2-1-211-111-1-1222222220000-1-1-2-21111-1-1-2-2-1-1-1-111112222-2-2-2-2-2-2-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000
χ392222-2-1-211-111-1-1222222220000-1-1-2-21111-1-1-2-2-1-1-1-11111-2-2-2-22i2i2i2i−2i−2i−2i−2i22−2i−2i2i2i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ402222-2-1-211-111-1-1222222220000-1-1-2-21111-1-1-2-2-1-1-1-11111-2-2-2-2−2i−2i−2i−2i2i2i2i2i222i2i−2i−2i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ4122-2-22-1-2-1-1-111112222-2-2-2-20000-1-122-1-1-1-1-1-1-2-2111111112i2i−2i−2i2ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−i−iii−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000000000000000
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χ4322-2-22-1-2-1-1-111112222-2-2-2-20000-1-122-1-1-1-1-1-1-2-211111111−2i−2i2i2i−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ii−i−iii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000000000000000
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χ7544444444444444-21-21-21-214444-21-21-21-21-21-21-21-21-21-21000000000000000000000000000000000000000000-21-21-21-21000000000000
χ7644444444444444-21-21-21-21-4-4-4-4-21-21-21-21-21-21-21-21-21-210000000000000000000000000000000000000000002-12-12-12-1000000000000
χ774444-44-4-4-44-4-4441-21-21-21-244-4-41-2-12-12-121-2-121-21-2-12-120000000000000000000000000000000000000000001-21-2-12-12000000000000
χ784444-44-4-4-44-4-4441-21-21-21-2-4-4441-2-12-12-121-2-121-21-2-12-12000000000000000000000000000000000000000000-12-121-21-2000000000000
χ794444-44-4-4-44-4-444-21-21-21-2144-4-4-212-12-12-1-212-1-21-212-12-1000000000000000000000000000000000000000000-21-212-12-1000000000000
χ804444-44-4-4-44-4-444-21-21-21-21-4-444-212-12-12-1-212-1-21-212-12-10000000000000000000000000000000000000000002-12-1-21-21000000000000
χ8144-4-444-4444-4-4-4-41-21-2-12-124i−4i4i−4i1-21-21-21-21-2-12-12-12-12-12000000000000000000000000000000000000000000i−2i−i2ii−2i−i2i000000000000
χ8244-4-444-4444-4-4-4-41-21-2-12-12−4i4i−4i4i1-21-21-21-21-2-12-12-12-12-12000000000000000000000000000000000000000000−i2ii−2i−i2ii−2i000000000000
χ8344-4-444-4444-4-4-4-4-21-212-12-14i−4i4i−4i-21-21-21-21-212-12-12-12-12-1000000000000000000000000000000000000000000−2ii2i−i−2ii2i−i000000000000
χ8444-4-444-4444-4-4-4-4-21-212-12-1−4i4i−4i4i-21-21-21-21-212-12-12-12-12-10000000000000000000000000000000000000000002i−i−2ii2i−i−2ii000000000000
χ8544-4-4-444-4-4444-4-41-21-2-12-124i−4i−4i4i1-2-12-12-121-21-2-12-121-21-2000000000000000000000000000000000000000000i−2i−i2i−i2ii−2i000000000000
χ8644-4-4-444-4-4444-4-41-21-2-12-12−4i4i4i−4i1-2-12-12-121-21-2-12-121-21-2000000000000000000000000000000000000000000−i2ii−2ii−2i−i2i000000000000
χ8744-4-4-444-4-4444-4-4-21-212-12-14i−4i−4i4i-212-12-12-1-21-212-12-1-21-21000000000000000000000000000000000000000000−2ii2i−i2i−i−2ii000000000000
χ8844-4-4-444-4-4444-4-4-21-212-12-1−4i4i4i−4i-212-12-12-1-21-212-12-1-21-210000000000000000000000000000000000000000002i−i−2ii−2ii2i−i000000000000
χ8988888-48-4-4-4-4-4-4-42-42-42-42-40000-122-4-12-12-122-4-12-12-12-1200000000000000000000000000000000000000000000000000000000000000
χ9088888-48-4-4-4-4-4-4-4-42-42-42-4200002-1-422-12-12-1-422-12-12-12-100000000000000000000000000000000000000000000000000000000000000
χ918888-8-4-844-444-4-42-42-42-42-40000-12-241-21-2-12-24-12-121-21-200000000000000000000000000000000000000000000000000000000000000
χ928888-8-4-844-444-4-4-42-42-42-4200002-14-2-21-212-14-22-12-1-21-2100000000000000000000000000000000000000000000000000000000000000
χ9388-8-88-4-8-4-4-444442-42-4-24-240000-122-4-12-12-12-241-21-21-21-200000000000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-8-4-4-44444-42-424-24-200002-1-422-12-12-14-2-21-21-21-2100000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-8-4844-4-4-4442-42-4-24-240000-12-241-21-2-122-41-21-2-12-1200000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-8-4844-4-4-444-42-424-24-200002-14-2-21-212-1-42-21-212-12-100000000000000000000000000000000000000000000000000000000000000
χ978-88i−8i08000-8008i−8i2-4-242i−4i−2i4i00002-4000000-24002i−4i−2i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i08000-8008i−8i-424-2−4i2i4i−2i0000-420000004-200−4i2i4i−2i000000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i0-40−4i34i3443−43−4i4i2-4-242i−4i−2i4i0000-1200−i32i3i3−2i31-200−i2ii−2i3−23−32300000000000000000000000000000000000000000000000000000000000000
χ1008-88i−8i0-40−4i34i3443−43−4i4i-424-2−4i2i4i−2i00002-1002i3−i3−2i3i3-21002i−i−2ii−23323−300000000000000000000000000000000000000000000000000000000000000
χ1018-88i−8i0-404i3−4i34−4343−4i4i2-4-242i−4i−2i4i0000-1200i3−2i3−i32i31-200−i2ii−2i−3233−2300000000000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0-404i3−4i34−4343−4i4i-424-2−4i2i4i−2i00002-100−2i3i32i3−i3-21002i−i−2ii23−3−23300000000000000000000000000000000000000000000000000000000000000
χ1038-8−8i8i08000-800−8i8i2-4-24−2i4i2i−4i00002-4000000-2400−2i4i2i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i08000-800−8i8i-424-24i−2i−4i2i0000-420000004-2004i−2i−4i2i000000000000000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i0-40−4i34i34−43434i−4i2-4-24−2i4i2i−4i0000-1200−i32i3i3−2i31-200i−2i−i2i−3233−2300000000000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i0-40−4i34i34−43434i−4i-424-24i−2i−4i2i00002-1002i3−i3−2i3i3-2100−2ii2i−i23−3−23300000000000000000000000000000000000000000000000000000000000000
χ1078-8−8i8i0-404i3−4i3443−434i−4i2-4-24−2i4i2i−4i0000-1200i3−2i3−i32i31-200i−2i−i2i3−23−32300000000000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i0-404i3−4i3443−434i−4i-424-24i−2i−4i2i00002-100−2i3i32i3−i3-2100−2ii2i−i−23323−300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.