Finite Group Databasebeta

← Group #13133574

Character table — Group #13133574

Order 1701.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111111111333333333333333333333333999999999999999999999999999999999999999999999999999999212121212121212121212121212121212121636363636363636363636363
order1333333337799999921212121212121212121212121212121999999636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363636363999999999999999999339999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32
χ5111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i32111111−1+i32−1+i32
χ6111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211
χ7111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32
χ8111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211
χ9111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i32111111−1−i32−1−i32
χ1011111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32
χ1111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1−i321−1+i321−1+i32
χ1211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321
χ1311111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32
χ1411111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321
χ1511111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32
χ1611111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321
χ1711111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32
χ1811111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32
χ1911111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32
χ2011111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321
χ2111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1+i321−1−i321−1−i32
χ2211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321
χ2311111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32
χ2411111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32
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χ913−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−1−i72−1+i723ζ5+3ζ8+3ζ17+3ζ23+3ζ26+3ζ32+3ζ41+3ζ44+3ζ50+3ζ53+3ζ59+3ζ62−3ζ8−3ζ17−3ζ26−3ζ44−3ζ53−3ζ62−3ζ5−3ζ23−3ζ32−3ζ41−3ζ50−3ζ59−3ζ4−3ζ13−3ζ22−3ζ31−3ζ40−3ζ583ζ4+3ζ13+3ζ16+3ζ22+3ζ25+3ζ31+3ζ34+3ζ40+3ζ43+3ζ52+3ζ58+3ζ61−3ζ16−3ζ25−3ζ34−3ζ43−3ζ52−3ζ61ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ3+ζ12+ζ48−1−i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ3+ζ12+ζ48−1−i72ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ30+ζ39+ζ57−1+i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ30+ζ39+ζ57−1+i72000000−ζ5−ζ17−ζ26−ζ41−ζ59−ζ62ζ17+ζ26+ζ62ζ5+ζ41+ζ59−ζ8−ζ23−ζ32−ζ44−ζ50−ζ53ζ8+ζ44+ζ53ζ23+ζ32+ζ50ζ13+ζ31+ζ40−ζ13−ζ31−ζ34−ζ40−ζ52−ζ61ζ34+ζ52+ζ61ζ4+ζ22+ζ58−ζ4−ζ16−ζ22−ζ25−ζ43−ζ58ζ16+ζ25+ζ43ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61−ζ4−ζ25+ζ43+ζ58−ζ16+ζ22+ζ25−ζ58ζ4+ζ16−ζ22−ζ43−ζ3+ζ6+ζ12−ζ24ζ3−ζ6+ζ33−ζ48−ζ12+ζ24−ζ33+ζ48−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ13−ζ34+ζ40+ζ52ζ13−ζ31−ζ52+ζ61ζ31+ζ34−ζ40−ζ61−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60000000000000000000000000000000
χ923−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−1−i72−1+i723ζ5+3ζ8+3ζ17+3ζ23+3ζ26+3ζ32+3ζ41+3ζ44+3ζ50+3ζ53+3ζ59+3ζ62−3ζ8−3ζ17−3ζ26−3ζ44−3ζ53−3ζ62−3ζ5−3ζ23−3ζ32−3ζ41−3ζ50−3ζ59−3ζ4−3ζ13−3ζ22−3ζ31−3ζ40−3ζ583ζ4+3ζ13+3ζ16+3ζ22+3ζ25+3ζ31+3ζ34+3ζ40+3ζ43+3ζ52+3ζ58+3ζ61−3ζ16−3ζ25−3ζ34−3ζ43−3ζ52−3ζ61ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ3+ζ12+ζ48−1−i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ3+ζ12+ζ48−1−i72ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ30+ζ39+ζ57−1+i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ30+ζ39+ζ57−1+i72000000−ζ5−ζ17−ζ26−ζ41−ζ59−ζ62ζ17+ζ26+ζ62ζ5+ζ41+ζ59−ζ8−ζ23−ζ32−ζ44−ζ50−ζ53ζ8+ζ44+ζ53ζ23+ζ32+ζ50ζ13+ζ31+ζ40−ζ13−ζ31−ζ34−ζ40−ζ52−ζ61ζ34+ζ52+ζ61ζ4+ζ22+ζ58−ζ4−ζ16−ζ22−ζ25−ζ43−ζ58ζ16+ζ25+ζ43−ζ31+ζ34+ζ40−ζ52−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61ζ4+ζ16−ζ22−ζ43−ζ4−ζ25+ζ43+ζ58−ζ16+ζ22+ζ25−ζ58ζ3−ζ6+ζ33−ζ48−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60ζ26−ζ41+ζ59−ζ62−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53ζ31+ζ34−ζ40−ζ61−ζ13−ζ34+ζ40+ζ52ζ13−ζ31−ζ52+ζ61−ζ22+ζ25−ζ43+ζ58ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60000000000000000000000000000000
χ933−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−1−i72−1+i723ζ5+3ζ8+3ζ17+3ζ23+3ζ26+3ζ32+3ζ41+3ζ44+3ζ50+3ζ53+3ζ59+3ζ62−3ζ8−3ζ17−3ζ26−3ζ44−3ζ53−3ζ62−3ζ5−3ζ23−3ζ32−3ζ41−3ζ50−3ζ59−3ζ4−3ζ13−3ζ22−3ζ31−3ζ40−3ζ583ζ4+3ζ13+3ζ16+3ζ22+3ζ25+3ζ31+3ζ34+3ζ40+3ζ43+3ζ52+3ζ58+3ζ61−3ζ16−3ζ25−3ζ34−3ζ43−3ζ52−3ζ61ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ3+ζ12+ζ48−1−i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ3+ζ12+ζ48−1−i72ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ30+ζ39+ζ57−1+i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ30+ζ39+ζ57−1+i72000000−ζ5−ζ17−ζ26−ζ41−ζ59−ζ62ζ17+ζ26+ζ62ζ5+ζ41+ζ59−ζ8−ζ23−ζ32−ζ44−ζ50−ζ53ζ8+ζ44+ζ53ζ23+ζ32+ζ50ζ13+ζ31+ζ40−ζ13−ζ31−ζ34−ζ40−ζ52−ζ61ζ34+ζ52+ζ61ζ4+ζ22+ζ58−ζ4−ζ16−ζ22−ζ25−ζ43−ζ58ζ16+ζ25+ζ43−ζ13+ζ31−ζ34+ζ61ζ13−ζ40+ζ52−ζ61−ζ31+ζ34+ζ40−ζ52−ζ16+ζ22+ζ25−ζ58ζ4+ζ16−ζ22−ζ43−ζ4−ζ25+ζ43+ζ58−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24ζ3−ζ6+ζ33−ζ48ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62ζ8+ζ23−ζ32−ζ53−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62−ζ17+ζ26+ζ41−ζ59−ζ32+ζ44+ζ50−ζ53−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44ζ13−ζ31−ζ52+ζ61ζ31+ζ34−ζ40−ζ61−ζ13−ζ34+ζ40+ζ52ζ4−ζ16+ζ43−ζ58−ζ4+ζ16+ζ22−ζ25−ζ22+ζ25−ζ43+ζ58ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51000000000000000000000000000000
χ943−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−1+i72−1−i72−3ζ5−3ζ23−3ζ32−3ζ41−3ζ50−3ζ593ζ5+3ζ8+3ζ17+3ζ23+3ζ26+3ζ32+3ζ41+3ζ44+3ζ50+3ζ53+3ζ59+3ζ62−3ζ8−3ζ17−3ζ26−3ζ44−3ζ53−3ζ623ζ4+3ζ13+3ζ16+3ζ22+3ζ25+3ζ31+3ζ34+3ζ40+3ζ43+3ζ52+3ζ58+3ζ61−3ζ16−3ζ25−3ζ34−3ζ43−3ζ52−3ζ61−3ζ4−3ζ13−3ζ22−3ζ31−3ζ40−3ζ58ζ15+ζ51+ζ60ζ30+ζ39+ζ57ζ30+ζ39+ζ57−1+i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ30+ζ39+ζ57−1+i72ζ6+ζ24+ζ33ζ3+ζ12+ζ48ζ3+ζ12+ζ48−1−i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ3+ζ12+ζ48−1−i72000000ζ23+ζ32+ζ50−ζ8−ζ23−ζ32−ζ44−ζ50−ζ53ζ8+ζ44+ζ53ζ5+ζ41+ζ59−ζ5−ζ17−ζ26−ζ41−ζ59−ζ62ζ17+ζ26+ζ62−ζ4−ζ16−ζ22−ζ25−ζ43−ζ58ζ16+ζ25+ζ43ζ4+ζ22+ζ58−ζ13−ζ31−ζ34−ζ40−ζ52−ζ61ζ34+ζ52+ζ61ζ13+ζ31+ζ40ζ4+ζ16−ζ22−ζ43−ζ16+ζ22+ζ25−ζ58−ζ4−ζ25+ζ43+ζ58ζ13−ζ40+ζ52−ζ61−ζ13+ζ31−ζ34+ζ61−ζ31+ζ34+ζ40−ζ52ζ15+ζ30−ζ39−ζ60−ζ15+ζ39+ζ51−ζ57−ζ30−ζ51+ζ57+ζ60ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ48−ζ8+ζ32+ζ44−ζ50−ζ23−ζ44+ζ50+ζ53ζ8+ζ23−ζ32−ζ53−ζ5+ζ17−ζ26+ζ41ζ5−ζ17−ζ59+ζ62ζ26−ζ41+ζ59−ζ62−ζ8+ζ23−ζ50+ζ53ζ8−ζ23+ζ32−ζ44−ζ32+ζ44+ζ50−ζ53−ζ17+ζ26+ζ41−ζ59ζ5+ζ17−ζ41−ζ62−ζ5−ζ26+ζ59+ζ62ζ4−ζ16+ζ43−ζ58−ζ22+ζ25−ζ43+ζ58−ζ4+ζ16+ζ22−ζ25−ζ13−ζ34+ζ40+ζ52ζ31+ζ34−ζ40−ζ61ζ13−ζ31−ζ52+ζ61−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48000000000000000000000000000000
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χ106999−9+9i32−9+9i32−9+9i32−9−9i32−9−9i32−9−9i32−3−3i72−3+3i72000000−3−3i72−3−3i723ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ33−3+3i72−3+3i723ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ60000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ107999−9+9i32−9+9i32−9+9i32−9−9i32−9−9i32−9−9i32−3+3i72−3−3i72000000−3+3i72−3+3i723ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ60−3−3i72−3−3i723ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ33000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ108999−9−9i32−9−9i32−9−9i32−9+9i32−9+9i32−9+9i32−3−3i72−3+3i72000000−3−3i72−3−3i723ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ48−3+3i72−3+3i723ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ57000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ109999−9−9i32−9−9i32−9−9i32−9+9i32−9+9i32−9+9i32−3+3i72−3−3i72000000−3+3i72−3+3i723ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ603ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ573ζ30+3ζ39+3ζ57−3−3i72−3−3i723ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ333ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ483ζ3+3ζ12+3ζ48000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1109−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32−3−3i72−3+3i720000003ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33−3−3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33−3−3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60−3+3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60−3+3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1119−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32−3+3i72−3−3i720000003ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60−3+3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60−3+3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33−3−3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33−3−3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1129−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32−3−3i72−3+3i720000003ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33−3−3i723ζ6+3ζ24+3ζ33−3−3i723ζ3+3ζ12+3ζ483ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60−3+3i723ζ15+3ζ51+3ζ60−3+3i723ζ30+3ζ39+3ζ57000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1139−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32−3+3i72−3−3i720000003ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60−3+3i723ζ15+3ζ51+3ζ60−3+3i723ζ30+3ζ39+3ζ573ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33−3−3i723ζ6+3ζ24+3ζ33−3−3i723ζ3+3ζ12+3ζ48000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1149−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32−3−3i72−3+3i720000003ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48−3−3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48−3−3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57−3+3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57−3+3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1159−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32−3+3i72−3−3i720000003ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57−3+3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57−3+3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48−3−3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48−3−3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1169−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i32−3−3i72−3+3i720000003ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48−3−3i723ζ3+3ζ12+3ζ48−3−3i723ζ6+3ζ24+3ζ333ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57−3+3i723ζ30+3ζ39+3ζ57−3+3i723ζ15+3ζ51+3ζ60000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1179−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i32−3+3i72−3−3i720000003ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57−3+3i723ζ30+3ζ39+3ζ57−3+3i723ζ15+3ζ51+3ζ603ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48−3−3i723ζ3+3ζ12+3ζ48−3−3i723ζ6+3ζ24+3ζ33000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 63 (ζ63 = 1); i = ζ15.