Finite Group Databasebeta

← Group #10712923

Character table — Group #10712923

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111111111111111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212
order1222222244444444888888888888888836666666121212121212121224242424242424242424242424242424224444444444666688888888888812121212121212121212121212121212121212122424242424242424242424242424242424242424242424241616161616161616161616161616161616161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-1-1-11111ii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1811111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-1-1-11111ii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1911111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-111-1-11111−i−iii−i−iiiii−i−i-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ2011111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-111-1-11111−i−iii−i−iiiii−i−i-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ2111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iii1111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ2211111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iii1111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ2311111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111-1-1-1-1−i−iiiii−i−i−i−iii-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ2411111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111-1-1-1-1−i−iiiii−i−i−i−iii-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ2511111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-1-1-11111−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ2611111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-1-1-11111−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ2711111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-111-1-11111ii−i−iii−i−i−i−iii-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ2811111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-111-1-11111ii−i−iii−i−i−i−iii-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ2911111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i1111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ3011111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i1111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ3111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111-1-1-1-1ii−i−i−i−iiiii−i−i-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ3211111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111-1-1-1-1ii−i−i−i−iiiii−i−i-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ3322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3422222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ3622222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-21111-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-2-2-2-222-1-1-1-122222222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22222-2-2-2-2-2-21111-2-2-2-222222222-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-22222-2-211112222-2-2-2-2222211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii2222-2-222-2-2-2-2-1-1-1-12i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-1-11111-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii22-2-222-2-222-2-2-1-1-1-1−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-2-222-2-2-2-2222211112i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-2-2-2-22222-2-2221111−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i2222-2-222-2-2-2-2-1-1-1-1−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-1-1-11111-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i22-2-222-2-222-2-2-1-1-1-12i2i−2i−2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-2-222-2-2-2-222221111−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-2-2-2-22222-2-22211112i2i−2i−2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000
χ49222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222222-2-2-2-2222-2-2-2-2222222-2-2-2-22222-2-2-2-20000002i−2i2i−2i00000000002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ50222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222222-2-2-2-2222-2-2-2-2222222-2-2-2-22222-2-2-2-2000000−2i2i−2i2i0000000000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ51222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-111110000002i−2i2i−2i00−i3−i3i3i300002i−2i2i−2i000033−3−333−3−3−i−iii−i−iii−i3−i3i3i333−3−333−3−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ52222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-111110000002i−2i2i−2i00i3i3−i3−i300002i−2i2i−2i0000−3−333−3−333−i−iii−i−iiii3i3−i3−i3−3−333−3−333−i−iii−i−iiii3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
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χ54222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22222-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111000000−2i2i−2i2i00i3i3−i3−i30000−2i2i−2i2i000033−3−333−3−3ii−i−iii−i−ii3i3−i3−i333−3−333−3−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ55222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2222-2-2-2-2222-2-2-2-222-2-2-2-22222-2-2-2-222220000002i−2i2i−2i0000000000−2i2i−2i2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ56222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2222-2-2-2-2222-2-2-2-222-2-2-2-22222-2-2-2-22222000000−2i2i−2i2i00000000002i−2i2i−2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ57222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-1-1-10000002i−2i2i−2i00−i3−i3i3i30000−2i2i−2i2i000033−3−333−3−3−i−iii−i−iii−i3−i3i3i3−3−333−3−333ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ58222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-1-1-10000002i−2i2i−2i00i3i3−i3−i30000−2i2i−2i2i0000−3−333−3−333−i−iii−i−iiii3i3−i3−i333−3−333−3−3ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ59222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1000000−2i2i−2i2i00−i3−i3i3i300002i−2i2i−2i0000−3−333−3−333ii−i−iii−i−i−i3−i3i3i333−3−333−3−3−i−iii−i−iiii3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ60222-2-2-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-1-1-1000000−2i2i−2i2i00i3i3−i3−i300002i−2i2i−2i000033−3−333−3−3ii−i−iii−i−ii3i3−i3−i3−3−333−3−333−i−iii−i−iii−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ61222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i222-2-2-2-22-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000002i−2i−2i2i0000000000-222-20000000000002i2i−2i−2i−2i−2i2i2i000000000000-2-22222-2-20000000000000000000000000000000000000000
χ62222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i222-2-2-2-22-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000−2i2i2i−2i00000000002-2-22000000000000−2i−2i2i2i2i2i−2i−2i00000000000022-2-2-2-2220000000000000000000000000000000000000000
χ63222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-1-1-11111-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i0000002i−2i−2i2i00−i3−i3i3i30000-222-2000033−3−3−3−333−i−iiiii−i−ii3i3−i3−i3i3i3−i3−i3−i3−i3i3i311-1-1-1-11133−3−3−3−33300000000000000000000000000000000
χ64222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-1-1-11111-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i0000002i−2i−2i2i00i3i3−i3−i30000-222-20000−3−33333−3−3−i−iiiii−i−i−i3−i3i3i3−i3−i3i3i3i3i3−i3−i311-1-1-1-111−3−33333−3−300000000000000000000000000000000
χ65222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-1-1-11111-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i000000−2i2i2i−2i00−i3−i3i3i300002-2-220000−3−33333−3−3ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-11111-1-133−3−3−3−33300000000000000000000000000000000
χ66222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-1-1-11111-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i000000−2i2i2i−2i00i3i3−i3−i300002-2-22000033−3−3−3−333ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-11111-1-1−3−33333−3−300000000000000000000000000000000
χ67222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i222-2-2-2-22-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000002i−2i−2i2i00000000002-2-220000000000002i2i−2i−2i−2i−2i2i2i00000000000022-2-2-2-2220000000000000000000000000000000000000000
χ68222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i222-2-2-2-22-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000−2i2i2i−2i0000000000-222-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000-2-22222-2-20000000000000000000000000000000000000000
χ69222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-1-1-11111-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii0000002i−2i−2i2i00−i3−i3i3i300002-2-22000033−3−3−3−333−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-11111-1-1−3−33333−3−300000000000000000000000000000000
χ70222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-1-1-11111-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii0000002i−2i−2i2i00i3i3−i3−i300002-2-220000−3−33333−3−3−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-11111-1-133−3−3−3−33300000000000000000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.