Finite Group Databasebeta

← Group #11777306

Character table — Group #11777306

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888881818181818181818363636363636363636363636
order122244443444466699912121212181818181818181818363636363636363636363636444444448888121212122424242424242424363636363636363636363636727272727272727272727272727272727272727272727272121212121212121236363636363636363636363636363636363636363636363688888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−iii−i−i−i−iii
χ171-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i1-1i−ii−i1-111-1-1ii−i−iiii−i−i−i111-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i111-1-1-1iii−i−i−i111-1-1-1iii−i−i−iζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39
χ181-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i1-1i−ii−i1-111-1-1ii−i−iiii−i−i−i111-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i111-1-1-1iii−i−i−i111-1-1-1iii−i−i−i−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39
χ191-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-1i−i-11−ii-11−iii−i1-1-1-111−i−iiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii1-1i−i-11−ii111-1-1-1iii−i−i−i-1-1-1111−i−i−iiiiζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39
χ201-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-1i−i-11−ii-11−iii−i1-1-1-111−i−iiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii1-1i−i-11−ii111-1-1-1iii−i−i−i-1-1-1111−i−i−iiii−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39
χ211-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i-11−ii1-1i−i-11−iii−i1-1-1-111−i−iiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii-11−ii1-1i−i-1-1-1111−i−i−iiii111-1-1-1iii−i−i−iζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39
χ221-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i-11−ii1-1i−i-11−iii−i1-1-1-111−i−iiiiii−i−i−i111-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii-11−ii1-1i−i-1-1-1111−i−i−iiii111-1-1-1iii−i−i−i−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39
χ231-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii1-1i−ii−i1-111-1-1ii−i−iiii−i−i−i111-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii-1-1-1111−i−i−iiii-1-1-1111−i−i−iiiiζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39
χ241-11-1ii−i−i11-1i−i-11-1111ii−i−i-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii1-1i−ii−i1-111-1-1ii−i−iiii−i−i−i111-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii-1-1-1111−i−i−iiii-1-1-1111−i−i−iiii−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39
χ251-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii1-1−ii−ii1-111-1-1−i−iii−i−i−iiii111-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii111-1-1-1−i−i−iiii111-1-1-1−i−i−iiii−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69
χ261-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii1-1−ii−ii1-111-1-1−i−iii−i−i−iiii111-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii111-1-1-1−i−i−iiii111-1-1-1−i−i−iiiiζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69
χ271-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii-11i−i-11i−i−ii1-1-1-111ii−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i1-1−ii-11i−i111-1-1-1−i−i−iiii-1-1-1111iii−i−i−i−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69
χ281-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii-11i−i-11i−i−ii1-1-1-111ii−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i1-1−ii-11i−i111-1-1-1−i−i−iiii-1-1-1111iii−i−i−iζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69
χ291-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii-11i−i1-1−ii-11i−i−ii1-1-1-111ii−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i-11i−i1-1−ii-1-1-1111iii−i−i−i111-1-1-1−i−i−iiii−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69
χ301-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii-11i−i1-1−ii-11i−i−ii1-1-1-111ii−i−i−i−i−iiii111-1-1-1-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i-11i−i1-1−ii-1-1-1111iii−i−i−i111-1-1-1−i−i−iiiiζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69
χ311-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i1-1−ii−ii1-111-1-1−i−iii−i−i−iiii111-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i-1-1-1111iii−i−i−i-1-1-1111iii−i−i−i−ζ15−ζ39−ζ15−ζ39ζ15+ζ39ζ15+ζ39ζ21+ζ69ζ21+ζ69−ζ21−ζ69−ζ21−ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69
χ321-11-1−i−iii11-1−ii-11-1111−i−iii-1-1-1111-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i1-1−ii−ii1-111-1-1−i−iii−i−i−iiii111-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i-1-1-1111iii−i−i−i-1-1-1111iii−i−i−iζ15+ζ39ζ15+ζ39−ζ15−ζ39−ζ15−ζ39−ζ21−ζ69−ζ21−ζ69ζ21+ζ69ζ21+ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69
χ332222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ342222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000
χ352222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ362222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000
χ37222222222-2-2-2-22222222222222222222222222222222000000000000-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ38222222222-2-2-2-22222222222222222222222222222222000000000000-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-22-22-22-22000000000000
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χ1554-4-44−4i4i4i−4i-2000022-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i−2i2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ700000000000000000i6−i6−i6i66−6−66000000000000−ζ5+ζ13+ζ23−ζ31ζ5−ζ13−ζ23+ζ31ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71ζ5−ζ13−ζ23+ζ31−ζ5+ζ13+ζ23−ζ31−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71ζ5−ζ13+ζ23−ζ31−ζ5+ζ13−ζ23+ζ31−ζ5−ζ7−ζ23−ζ53−ζ61−ζ71ζ5+ζ7+ζ23+ζ53+ζ61+ζ71ζ7+ζ13+ζ31+ζ53+ζ61+ζ71−ζ7−ζ13−ζ31−ζ53−ζ61−ζ71−ζ5+ζ13−ζ23+ζ31ζ5−ζ13+ζ23−ζ31ζ5+ζ7+ζ23+ζ53+ζ61+ζ71−ζ5−ζ7−ζ23−ζ53−ζ61−ζ71−ζ7−ζ13−ζ31−ζ53−ζ61−ζ71ζ7+ζ13+ζ31+ζ53+ζ61+ζ710000000000000000000000000000000000000000000000000000
χ1564-4-44−4i4i4i−4i-2000022-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i−2i2i2ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ700000000000000000−i6i6i6−i6−666−6000000000000ζ5−ζ13−ζ23+ζ31−ζ5+ζ13+ζ23−ζ31−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71−ζ5+ζ13+ζ23−ζ31ζ5−ζ13−ζ23+ζ31ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71−ζ5+ζ13−ζ23+ζ31ζ5−ζ13+ζ23−ζ31ζ5+ζ7+ζ23+ζ53+ζ61+ζ71−ζ5−ζ7−ζ23−ζ53−ζ61−ζ71−ζ7−ζ13−ζ31−ζ53−ζ61−ζ71ζ7+ζ13+ζ31+ζ53+ζ61+ζ71ζ5−ζ13+ζ23−ζ31−ζ5+ζ13−ζ23+ζ31−ζ5−ζ7−ζ23−ζ53−ζ61−ζ71ζ5+ζ7+ζ23+ζ53+ζ61+ζ71ζ7+ζ13+ζ31+ζ53+ζ61+ζ71−ζ7−ζ13−ζ31−ζ53−ζ61−ζ710000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.