Finite Group Databasebeta

← Group #10702106

Character table — Group #10702106

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111111111111111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212
order12222222222222224444444444444444366666666666666612121212121212121212121212121212222244444444444444444444666666661212121212121212121212121212121212121212121212121212121212121212121212121212121288888888888888888888888888888888
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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ17111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ18111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ19111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iii-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ20111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iii-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ21111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i-1-111−i−iii−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ22111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i-1-111−i−iii−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ23111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii11-1-1ii−i−i−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ24111111-1-1-1-1-111-1-1-1iiiii−i−i−i−i−iii−i−ii−i111111-1-1-1-1-111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii11-1-1ii−i−i−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ25111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ26111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ27111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ28111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ29111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iii-1-111ii−i−iii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ30111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iii-1-111ii−i−iii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ31111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−i11-1-1−i−iiiii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ32111111-1-1-1-1-111-1-1-1−i−i−i−i−iiiiii−i−iii−ii111111-1-1-1-1-111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−i11-1-1−i−iiiii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ3322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3422222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000000000000
χ3622222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222-2-2-2-2-2-2-2-22222222211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-222222222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ41222222-2-2-2-2-222-2-2-22i2i2i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i2i−2i-1-1-1-1-1-111111-1-1111−i−i−i−i−i−i−i−iiiiiiiii22-2-222-2-22i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000
χ42222222-2-2-2-2-222-2-2-22i2i2i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i2i−2i-1-1-1-1-1-111111-1-1111−i−i−i−i−i−i−i−iiiiiiiii22-2-2-2-222−2i−2i2i2i-2-222−2i−2i2i2i2i2i−2i−2i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000
χ43222222-2-2-2-2-222-2-2-22i2i2i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i2i−2i-1-1-1-1-1-111111-1-1111−i−i−i−i−i−i−i−iiiiiiiii-2-22222-2-22i2i−2i−2i-2-222−2i−2i2i2i−2i−2i2i2i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000
χ44222222-2-2-2-2-222-2-2-22i2i2i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i2i−2i-1-1-1-1-1-111111-1-1111−i−i−i−i−i−i−i−iiiiiiiii-2-222-2-222−2i−2i2i2i22-2-22i2i−2i−2i−2i−2i2i2i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000
χ45222222-2-2-2-2-222-2-2-2−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i2i−2i2i-1-1-1-1-1-111111-1-1111iiiiiiii−i−i−i−i−i−i−i−i22-2-222-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000
χ46222222-2-2-2-2-222-2-2-2−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i2i−2i2i-1-1-1-1-1-111111-1-1111iiiiiiii−i−i−i−i−i−i−i−i22-2-2-2-2222i2i−2i−2i-2-2222i2i−2i−2i−2i−2i2i2i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000
χ47222222-2-2-2-2-222-2-2-2−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i2i−2i2i-1-1-1-1-1-111111-1-1111iiiiiiii−i−i−i−i−i−i−i−i-2-22222-2-2−2i−2i2i2i-2-2222i2i−2i−2i2i2i−2i−2i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000
χ48222222-2-2-2-2-222-2-2-2−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i2i−2i2i-1-1-1-1-1-111111-1-1111iiiiiiii−i−i−i−i−i−i−i−i-2-222-2-2222i2i−2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000
χ492222-2-2222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-22222-2-2222-2-2-2-2-2-222222-2-2-2-22222-2-2-2-22-22-200000000000000002-22-222-2-222-2-20000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ502222-2-2222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-22222-2-2222-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-22-220000000000000000-22-22-2-222-2-22200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ512222-2-2222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-1-1-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-111112-22-200000000000000002-22-2-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−333−3−333−3−3-1-111-1-11100000000000000000000000000000000
χ522222-2-2222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-1-1-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-111112-22-200000000000000002-22-2-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−333−3−333−3−333-1-111-1-11100000000000000000000000000000000
χ532222-2-2222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-1-1-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-11111-22-220000000000000000-22-2211-1-111-1-133−3−333−3−333−3−333−3−3−3−333−3−333−3−333−3−33311-1-111-1-100000000000000000000000000000000
χ542222-2-2222-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-1-1-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-11111-22-220000000000000000-22-2211-1-111-1-1−3−333−3−333−3−333−3−33333−3−333−3−333−3−333−3−311-1-111-1-100000000000000000000000000000000
χ552222-2-2222-2-2-2-2-2-22-2-2-2-22-2-2-2-222222222222-2-2222-2-2-2-2-2-22-2-2-2-22222-2-2-2-222222-22-20000000000000000-22-2222-2-222-2-200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ562222-2-2222-2-2-2-2-2-22-2-2-2-22-2-2-2-222222222222-2-2222-2-2-2-2-2-22-2-2-2-22222-2-2-2-22222-22-2200000000000000002-22-2-2-222-2-2220000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ572222-2-2222-2-2-2-2-2-22-2-2-2-22-2-2-2-22222222-1-1-1-111-1-1-1111111-11111-1-1-1-11111-1-1-1-12-22-20000000000000000-22-22-1-111-1-11133−3−333−3−3−3−333−3−33333−3−333−3−3−3−333−3−33311-1-111-1-100000000000000000000000000000000
χ582222-2-2222-2-2-2-2-2-22-2-2-2-22-2-2-2-22222222-1-1-1-111-1-1-1111111-11111-1-1-1-11111-1-1-1-12-22-20000000000000000-22-22-1-111-1-111−3−333−3−33333−3−333−3−3−3−333−3−33333−3−333−3−311-1-111-1-100000000000000000000000000000000
χ592222-2-2222-2-2-2-2-2-22-2-2-2-22-2-2-2-22222222-1-1-1-111-1-1-1111111-11111-1-1-1-11111-1-1-1-1-22-2200000000000000002-22-211-1-111-1-133−3−333−3−3−3−333−3−333−3−333−3−33333−3−333−3−3-1-111-1-11100000000000000000000000000000000
χ602222-2-2222-2-2-2-2-2-22-2-2-2-22-2-2-2-22222222-1-1-1-111-1-1-1111111-11111-1-1-1-11111-1-1-1-1-22-2200000000000000002-22-211-1-111-1-1−3−333−3−33333−3−333−3−333−3−333−3−3−3−333−3−333-1-111-1-11100000000000000000000000000000000
χ612222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i−2i−2i2i2i−2i2i2222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-2-2200000000000000002i−2i−2i2i22-2-2-2-222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ622222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i−2i−2i2i2i−2i2i2222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-222-20000000000000000−2i2i2i−2i-2-22222-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ632222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i−2i−2i2i2i−2i2i-1-1-1-111111-1-111-1-11−i−i−i−iiiiiiiii−i−i−i−i2-2-2200000000000000002i−2i−2i2i-1-11111-1-133−3−3−3−333i3i3−i3−i3−i3−i3i3i333−3−3−3−333i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i00000000000000000000000000000000
χ642222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i−2i−2i2i2i−2i2i-1-1-1-111111-1-111-1-11−i−i−i−iiiiiiiii−i−i−i−i2-2-2200000000000000002i−2i−2i2i-1-11111-1-1−3−33333−3−3−i3−i3i3i3i3i3−i3−i3−3−33333−3−3−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i00000000000000000000000000000000
χ652222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i−2i−2i2i2i−2i2i-1-1-1-111111-1-111-1-11−i−i−i−iiiiiiiii−i−i−i−i-222-20000000000000000−2i2i2i−2i11-1-1-1-11133−3−3−3−333i3i3−i3−i3−i3−i3i3i3−3−33333−3−3−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii00000000000000000000000000000000
χ662222-2-2-2-2-222-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i−2i−2i2i2i−2i2i-1-1-1-111111-1-111-1-11−i−i−i−iiiiiiiii−i−i−i−i-222-20000000000000000−2i2i2i−2i11-1-1-1-111−3−33333−3−3−i3−i3i3i3i3i3−i3−i333−3−3−3−333i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii00000000000000000000000000000000
χ672222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i−2i2222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2-2-220000000000000000−2i2i2i−2i22-2-2-2-22200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ682222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i−2i2222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-222-200000000000000002i−2i−2i2i-2-22222-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ692222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i−2i-1-1-1-111111-1-111-1-11iiii−i−i−i−i−i−i−i−iiiii2-2-220000000000000000−2i2i2i−2i-1-11111-1-133−3−3−3−333−i3−i3i3i3i3i3−i3−i333−3−3−3−333−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii00000000000000000000000000000000
χ702222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i−2i-1-1-1-111111-1-111-1-11iiii−i−i−i−i−i−i−i−iiiii2-2-220000000000000000−2i2i2i−2i-1-11111-1-1−3−33333−3−3i3i3−i3−i3−i3−i3i3i3−3−33333−3−3i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii00000000000000000000000000000000
χ712222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i−2i-1-1-1-111111-1-111-1-11iiii−i−i−i−i−i−i−i−iiiii-222-200000000000000002i−2i−2i2i11-1-1-1-11133−3−3−3−333−i3−i3i3i3i3i3−i3−i3−3−33333−3−3i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i00000000000000000000000000000000
χ722222-2-2-2-2-222-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i−2i-1-1-1-111111-1-111-1-11iiii−i−i−i−i−i−i−i−iiiii-222-200000000000000002i−2i−2i2i11-1-1-1-111−3−33333−3−3i3i3−i3−i3−i3−i3i3i333−3−3−3−333−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i00000000000000000000000000000000
χ7322-2-22222-2-2-2-2-222-22i2i−2i−2i2i2i2i−2i−2i−2i−2i−2i2i2i2i−2i22-2-22222-2-2-2-2-222-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000002i−2i2i−2i2-22-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i2-22-22-22-20000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.