Finite Group Databasebeta

← Group #13021635

Character table — Group #13021635

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111111111111444444444444444444444444444455555555555555558888888888888888888888882020202020202020202020202020202020202020202020202020202020202020202020202020202020202020
order12222222222222222222444444445101010101010101010101010101010444444444444444410101010101010102020202020202020202020202020202044444444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ811111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i
χ91111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ121111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ131111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111111-1-1-1-1-1-1-1-1111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ181111111-1-1-1-1-1-1-1-1111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ191111111-1-1-1-1-1-1-1-1111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111ii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1
χ201111111-1-1-1-1-1-1-1-1111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111-1-111
χ211111111-1-1-1-1-1-1-1-1111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ221111111-1-1-1-1-1-1-1-1111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ231111111-1-1-1-1-1-1-1-1111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111
χ241111111-1-1-1-1-1-1-1-1111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-1
χ251111111-1-1-1-1-1-1-1-11-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ261111111-1-1-1-1-1-1-1-11-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ271111111-1-1-1-1-1-1-1-11-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111
χ281111111-1-1-1-1-1-1-1-11-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1
χ291111111-1-1-1-1-1-1-1-11-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ301111111-1-1-1-1-1-1-1-11-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ311111111-1-1-1-1-1-1-1-11-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1
χ321111111-1-1-1-1-1-1-1-11-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111
χ332222-2-2-2222-2-2-22-2-20000000000002222-2-2-2-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37
χ342222-2-2-2222-2-2-22-2-20000000000002222-2-2-2-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37
χ352222-2-2-2222-2-2-22-2-20000000000002222-2-2-2-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39
χ362222-2-2-2222-2-2-22-2-20000000000002222-2-2-2-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39
χ372222-2-2-2-2-2-2222-22-20000000000002222-2-2-2-2-2-2-2222-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39
χ382222-2-2-2-2-2-2222-22-20000000000002222-2-2-2-2-2-2-2222-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39
χ392222-2-2-2-2-2-2222-22-20000000000002222-2-2-2-2-2-2-2222-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37
χ402222-2-2-2-2-2-2222-22-20000000000002222-2-2-2-2-2-2-2222-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37
χ4122-2-222-222-22-2-2-22-200000000000022-2-222-2-222-22-2-2-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ4222-2-222-222-22-2-2-22-200000000000022-2-222-2-222-22-2-2-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ4322-2-222-222-22-2-2-22-200000000000022-2-222-2-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ4422-2-222-222-22-2-2-22-200000000000022-2-222-2-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ4522-2-222-2-2-22-2222-2-200000000000022-2-222-2-2-2-22-2222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ4622-2-222-2-2-22-2222-2-200000000000022-2-222-2-2-2-22-2222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ4722-2-222-2-2-22-2222-2-200000000000022-2-222-2-2-2-22-2222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ4822-2-222-2-2-22-2222-2-200000000000022-2-222-2-2-2-22-2222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ4922-2-2-2-2222-2-222-2-222-22-20000000022-2-2-2-22222-2-222-2-222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000002-22-200000000000000000000000000000000
χ5022-2-2-2-2222-2-222-2-222-22-20000000022-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2000000000000000000000000-22-2200000000000000000000000000000000
χ5122-2-2-2-2222-2-222-2-22-22-220000000022-2-2-2-22222-2-222-2-222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000-22-2200000000000000000000000000000000
χ5222-2-2-2-2222-2-222-2-22-22-220000000022-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-222222222-2-222-2-2220000000000000000000000002-22-200000000000000000000000000000000
χ5322-2-2-2-22-2-222-2-22222-2-220000000022-2-2-2-222-2-222-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2220000000000000000000000002-2-2200000000000000000000000000000000
χ5422-2-2-2-22-2-222-2-22222-2-220000000022-2-2-2-222-2-222-2-222-2-2-2-222222222-2-2-2-222-2-2-2-222000000000000000000000000-222-200000000000000000000000000000000
χ5522-2-2-2-22-2-222-2-2222-222-20000000022-2-2-2-222-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000-222-200000000000000000000000000000000
χ5622-2-2-2-22-2-222-2-2222-222-20000000022-2-2-2-222-2-222-2-222-2-2-2-222222222-2-2-2-2-2-22222-2-20000000000000000000000002-2-2200000000000000000000000000000000
χ572-22-22-222-22-22-2-22-20000000000002-22-22-22-22-22-22-2-222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ582-22-22-222-22-22-2-22-20000000000002-22-22-22-22-22-22-2-222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ592-22-22-222-22-22-2-22-20000000000002-22-22-22-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ602-22-22-222-22-22-2-22-20000000000002-22-22-22-22-22-22-2-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ612-22-22-22-22-22-222-2-20000000000002-22-22-22-2-22-22-222-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ622-22-22-22-22-22-222-2-20000000000002-22-22-22-2-22-22-222-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ632-22-22-22-22-22-222-2-20000000000002-22-22-22-2-22-22-222-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000
χ642-22-22-22-22-22-222-2-20000000000002-22-22-22-2-22-22-222-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
χ652-22-2-22-22-222-22-2-2200002i−2i2i−2i00002-22-2-22-222-222-22-2-22-2-222-2-222-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ662-22-2-22-22-222-22-2-2200002i−2i2i−2i00002-22-2-22-222-222-22-2-2-222-2-222-2-222-2-222-2000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ672-22-2-22-22-222-22-2-220000−2i2i−2i2i00002-22-2-22-222-222-22-2-22-2-222-2-222-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i0000000000000000000000000000000000000000
χ682-22-2-22-22-222-22-2-220000−2i2i−2i2i00002-22-2-22-222-222-22-2-2-222-2-222-2-222-2-222-200000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i0000000000000000000000000000000000000000
χ692-22-2-22-2-22-2-22-222200002-2-2200002-22-2-22-22-22-2-22-2222-2-22-222-22-2-22-222-20000000022-2-2-2-222000000002-2-220000000000000000000000000000000000000000
χ702-22-2-22-2-22-2-22-222200002-2-2200002-22-2-22-22-22-2-22-222-222-22-2-22-222-22-2-220000000022-2-2-2-22200000000-222-20000000000000000000000000000000000000000
χ712-22-2-22-2-22-2-22-22220000-222-200002-22-2-22-22-22-2-22-2222-2-22-222-22-2-22-222-200000000-2-22222-2-200000000-222-20000000000000000000000000000000000000000
χ722-22-2-22-2-22-2-22-22220000-222-200002-22-2-22-22-22-2-22-222-222-22-2-22-222-22-2-2200000000-2-22222-2-2000000002-2-220000000000000000000000000000000000000000
χ732-2-222-2-22-2-2-2-22222000000002-22-22-2-222-2-222-2-2-2-22222-2-222-2-22-222-2-222-2000000000000000022-2-222-2-200002-22-2000000000000000000000000000000000000
χ742-2-222-2-22-2-2-2-22222000000002-22-22-2-222-2-222-2-2-2-2222-222-2-222-22-2-222-2-22000000000000000022-2-222-2-20000-22-22000000000000000000000000000000000000
χ752-2-222-2-22-2-2-2-2222200000000-22-222-2-222-2-222-2-2-2-22222-2-222-2-22-222-2-222-20000000000000000-2-222-2-2220000-22-22000000000000000000000000000000000000
χ762-2-222-2-22-2-2-2-2222200000000-22-222-2-222-2-222-2-2-2-2222-222-2-222-22-2-222-2-220000000000000000-2-222-2-22200002-22-2000000000000000000000000000000000000
χ772-2-222-2-2-22222-2-2-22000000002i−2i−2i2i2-2-222-2-22-22222-2-2-22-2-22-222-2-222-22-2-2200000000000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i000000000000000000000000000000000000
χ782-2-222-2-2-22222-2-2-22000000002i−2i−2i2i2-2-222-2-22-22222-2-2-2-222-22-2-222-2-22-222-200000000000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i000000000000000000000000000000000000
χ792-2-222-2-2-22222-2-2-2200000000−2i2i2i−2i2-2-222-2-22-22222-2-2-22-2-22-222-2-222-22-2-220000000000000000−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i000000000000000000000000000000000000
χ802-2-222-2-2-22222-2-2-2200000000−2i2i2i−2i2-2-222-2-22-22222-2-2-2-222-22-2-222-2-22-222-20000000000000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i000000000000000000000000000000000000
χ812-2-22-2222-2-222-22-2-20000000000002-2-22-222-22-2-222-22-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ822-2-22-2222-2-222-22-2-20000000000002-2-22-222-22-2-222-22-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ832-2-22-2222-2-222-22-2-20000000000002-2-22-222-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ842-2-22-2222-2-222-22-2-20000000000002-2-22-222-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ852-2-22-222-222-2-22-22-20000000000002-2-22-222-2-222-2-22-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ862-2-22-222-222-2-22-22-20000000000002-2-22-222-2-222-2-22-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ872-2-22-222-222-2-22-22-20000000000002-2-22-222-2-222-2-22-22−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ882-2-22-222-222-2-22-22-20000000000002-2-22-222-2-222-2-22-22−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ894444444444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ9044444444444444444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000000000000000
χ914444444444444444-4-4-4-44444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000000000
χ924444444444444444-4-4-4-4-4-4-4-44444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000001111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ934444444-4-4-4-4-4-4-4-4444-4-44i4i−4i−4i4i4i−4i−4i-1-1-1-1-1-1-1-1111111110000000000000000-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000000000000000
χ944444444-4-4-4-4-4-4-4-4444-4-4−4i−4i4i4i−4i−4i4i4i-1-1-1-1-1-1-1-1111111110000000000000000-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000000000000000
χ954444444-4-4-4-4-4-4-4-44-4-4444i4i−4i−4i−4i−4i4i4i-1-1-1-1-1-1-1-11111111100000000000000001111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000000000000000
χ964444444-4-4-4-4-4-4-4-44-4-444−4i−4i4i4i4i4i−4i−4i-1-1-1-1-1-1-1-11111111100000000000000001111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000000000000000
χ9744-4-4-4-4444-4-444-4-444-44-400000000-1-11111-1-1-1-111-1-1110000000000000000-1-111-1-111i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i500000000000000000000000000000000000000000000
χ9844-4-4-4-4444-4-444-4-444-44-400000000-1-11111-1-1-1-111-1-1110000000000000000-1-111-1-111−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i500000000000000000000000000000000000000000000
χ9944-4-4-4-4444-4-444-4-44-44-4400000000-1-11111-1-1-1-111-1-111000000000000000011-1-111-1-1i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5−i5i5−i5i500000000000000000000000000000000000000000000
χ10044-4-4-4-4444-4-444-4-44-44-4400000000-1-11111-1-1-1-111-1-111000000000000000011-1-111-1-1−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5i5−i5i5−i500000000000000000000000000000000000000000000
χ10144-4-4-4-44-4-444-4-44444-4-4400000000-1-11111-1-111-1-111-1-10000000000000000-1-11111-1-15−55−5−55−555−55−5−55−5500000000000000000000000000000000000000000000
χ10244-4-4-4-44-4-444-4-44444-4-4400000000-1-11111-1-111-1-111-1-10000000000000000-1-11111-1-1−55−555−55−5−55−555−55−500000000000000000000000000000000000000000000
χ10344-4-4-4-44-4-444-4-4444-444-400000000-1-11111-1-111-1-111-1-1000000000000000011-1-1-1-1115−55−5−55−55−55−555−55−500000000000000000000000000000000000000000000
χ10444-4-4-4-44-4-444-4-4444-444-400000000-1-11111-1-111-1-111-1-1000000000000000011-1-1-1-111−55−555−55−55−55−5−55−5500000000000000000000000000000000000000000000
χ1054-44-4-44-44-444-44-4-4400004i−4i4i−4i0000-11-111-11-1-11-1-11-11100000000000000005−55−55−55−5−i−iii−i−iiii5−i5−i5i5i5−i5−i5i500000000000000000000000000000000000000000000
χ1064-44-4-44-44-444-44-4-4400004i−4i4i−4i0000-11-111-11-1-11-1-11-1110000000000000000−55−55−55−55−i−iii−i−iii−i5i5i5−i5−i5i5i5−i500000000000000000000000000000000000000000000
χ1074-44-4-44-44-444-44-4-440000−4i4i−4i4i0000-11-111-11-1-11-1-11-11100000000000000005−55−55−55−5ii−i−iii−i−i−i5i5i5−i5−i5i5i5−i500000000000000000000000000000000000000000000
χ1084-44-4-44-44-444-44-4-440000−4i4i−4i4i0000-11-111-11-1-11-1-11-1110000000000000000−55−55−55−55ii−i−iii−i−ii5−i5−i5i5i5−i5−i5i500000000000000000000000000000000000000000000
χ1094-44-4-44-4-44-4-44-444400004-4-440000-11-111-11-11-111-11-1-100000000000000005−55−5−55−55-1-11111-1-15−5−55−555−500000000000000000000000000000000000000000000
χ1104-44-4-44-4-44-4-44-444400004-4-440000-11-111-11-11-111-11-1-10000000000000000−55−555−55−5-1-11111-1-1−555−55−5−5500000000000000000000000000000000000000000000
χ1114-44-4-44-4-44-4-44-44440000-444-40000-11-111-11-11-111-11-1-100000000000000005−55−5−55−5511-1-1-1-111−555−55−5−5500000000000000000000000000000000000000000000
χ1124-44-4-44-4-44-4-44-44440000-444-40000-11-111-11-11-111-11-1-10000000000000000−55−555−55−511-1-1-1-1115−5−55−555−500000000000000000000000000000000000000000000
χ1134-4-444-4-44-4-4-4-44444000000004-44-4-111-1-111-1-11111-1-1-100000000000000005−5−555−5−555−5−555−5−55-1-111-1-11100000000000000000000000000000000000000000000
χ1144-4-444-4-44-4-4-4-44444000000004-44-4-111-1-111-1-11111-1-1-10000000000000000−555−5−555−5−555−5−555−5-1-111-1-11100000000000000000000000000000000000000000000
χ1154-4-444-4-44-4-4-4-4444400000000-44-44-111-1-111-1-11111-1-1-100000000000000005−5−555−5−55−555−5−555−511-1-111-1-100000000000000000000000000000000000000000000
χ1164-4-444-4-44-4-4-4-4444400000000-44-44-111-1-111-1-11111-1-1-10000000000000000−555−5−555−55−5−555−5−5511-1-111-1-100000000000000000000000000000000000000000000
χ1174-4-444-4-4-44444-4-4-44000000004i−4i−4i4i-111-1-111-11-1-1-1-111100000000000000005−5−55−555−5i5−i5−i5i5−i5i5i5−i5−i−iiiii−i−i00000000000000000000000000000000000000000000
χ1184-4-444-4-4-44444-4-4-44000000004i−4i−4i4i-111-1-111-11-1-1-1-11110000000000000000−555−55−5−55−i5i5i5−i5i5−i5−i5i5−i−iiiii−i−i00000000000000000000000000000000000000000000
χ1194-4-444-4-4-44444-4-4-4400000000−4i4i4i−4i-111-1-111-11-1-1-1-111100000000000000005−5−55−555−5−i5i5i5−i5i5−i5−i5i5ii−i−i−i−iii00000000000000000000000000000000000000000000
χ1204-4-444-4-4-44444-4-4-4400000000−4i4i4i−4i-111-1-111-11-1-1-1-11110000000000000000−555−55−5−55i5−i5−i5i5−i5i5i5−i5ii−i−i−i−iii00000000000000000000000000000000000000000000
χ1218888-8-8-8888-8-8-88-8-8000000000000-2-2-2-22222-2-2-2222-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228888-8-8-8-8-8-8888-88-8000000000000-2-2-2-22222222-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-888-888-88-8-8-88-8000000000000-2-222-2-222-2-22-2222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-888-8-8-88-8888-8-8000000000000-2-222-2-22222-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-888-88-88-8-88-8000000000000-22-22-22-22-22-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-88-88-88-88-888-8-8000000000000-22-22-22-222-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-8888-8-888-88-8-8000000000000-222-22-2-22-222-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-888-888-8-88-88-8000000000000-222-22-2-222-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.