Finite Group Databasebeta

← Group #12008586

Character table — Group #12008586

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111122222222222222222222224444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888840404040404040404040404040404040
order1222224444551010101010101010101010101010222244444444202020202020202020202020202020202020202020202020224444441010101010101010101010101010101020202020202020202020202020202020202020202020202020202020202020208888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−iii−i−iii
χ12111111-1-1-1-11111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiii−i−iii−i−i
χ13111111-1-1-1-11111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-11111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111-1-1-1-11111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-11111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-111
χ1711-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-111-1-11-1i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-1i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ1811-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-111-1-11-1i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-1i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ1911-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-111-1-11-1i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-11−ii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ2011-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-111-1-11-1i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-11−ii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ2111-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1i−i−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i-11−ii-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ2211-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1i−i−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i-11−ii-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ2311-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1i−i−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ2411-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-1111-1i−i−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ2511-1-11-1−i−iii11111111-1-1-1-1-1-1-1-111-1-11-1−ii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-1−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ2611-1-11-1−i−iii11111111-1-1-1-1-1-1-1-111-1-11-1−ii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-1−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ2711-1-11-1−i−iii11111111-1-1-1-1-1-1-1-111-1-11-1−ii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-11i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37
χ2811-1-11-1−i−iii11111111-1-1-1-1-1-1-1-111-1-11-1−ii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-11i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37
χ2911-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1−iiii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii-11i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ3011-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1−iiii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii-11i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ3111-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1−iiii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39
χ3211-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1-1-1111-1−iiii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1−ii-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39
χ33222222222222222222222222222-22-2-2-2-2-22-22-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000022-2-222-2-200000000000000000000000022-2-222-2-2000000000000000000000000
χ3422222222222222222222222222-22-22-2-2-2-2-22-22-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000-2-222-2-222000000000000000000000000-2-222-2-222000000000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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χ432222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
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χ452222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2-2-2-22-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ462222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2-2-2-22-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
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χ482222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-22-2-2-2-2-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
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χ51222222-2-2-2-222222222222222222-22-2-2-222-22-22-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000022-2-222-2-2000000000000000000000000-2-222-2-222000000000000000000000000
χ52222222-2-2-2-22222222222222222-22-22-2-2222-22-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-2-222-2-22200000000000000000000000022-2-222-2-2000000000000000000000000
χ53222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ54222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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χ56222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2-2-222-22-221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
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χ12444-4-4-44−4i4i4i−4i−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-800000088-800-80000008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8000000−2+25−2−252−254ζ12−4ζ28−4ζ12+4ζ282+25−4ζ4+4ζ364ζ4−4ζ364ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8000000−2+25−2−252−25−4ζ12+4ζ284ζ12−4ζ282+254ζ4−4ζ36−4ζ4+4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-8000000−2−25−2+252+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ28−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-8000000−2−25−2+252+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ284ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-8800000088-800-8000000-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88000000−2+25−2−252−254ζ12−4ζ28−4ζ12+4ζ282+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88000000−2+25−2−252−25−4ζ12+4ζ284ζ12−4ζ282+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88000000−2−25−2+252+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88000000−2−25−2+252+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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