Finite Group Databasebeta

← Group #14281576

Character table — Group #14281576

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222244444444444444444444444444444444444444445555555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020303030303030303030303030303030306060606060606060
order12224444344446661212121244445101010121212121212121212121212151520202020303030303030606060606060606044444444202020202020202020202020606060606060606060606060606060606060606060606060224412121212121212122244666666121212121212888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ111111-1-1-1-1111-1-1111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ121111-1-1-1-1111-1-1111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ131111-1-1-1-1111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ141111-1-1-1-1111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ151111-1-1-1-1111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111-1-1-1-1111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711-1-1ii−i−i11-1i−i1-1-1ii−i−i1-1i−i1-11-11-1i−i11-1-1ii−i−i11ii−i−i-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i1-111-1-1i−iii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ1811-1-1ii−i−i11-1i−i1-1-1ii−i−i1-1i−i1-11-11-1i−i11-1-1ii−i−i11ii−i−i-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i1-111-1-1i−iii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ1911-1-1ii−i−i11-1i−i1-1-1ii−i−i1-1i−i1-11-11-1i−i11-1-1ii−i−i11ii−i−i-1-111-1-1iiii−i−i−i−i-1-111−i−iii1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii-11-1-111−ii−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ2011-1-1ii−i−i11-1i−i1-1-1ii−i−i1-1i−i1-11-11-1i−i11-1-1ii−i−i11ii−i−i-1-111-1-1iiii−i−i−i−i-1-111−i−iii1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii-11-1-111−ii−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
χ2111-1-1ii−i−i11-1i−i1-1-1ii−i−i-11−ii1-11-11-1i−i-1-111−i−iii11ii−i−i-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-11−ii1-1-1-111i−i−i−iiiζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ2211-1-1ii−i−i11-1i−i1-1-1ii−i−i-11−ii1-11-11-1i−i-1-111−i−iii11ii−i−i-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-11−ii1-1-1-111i−i−i−iii−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ2311-1-1ii−i−i11-1i−i1-1-1ii−i−i-11−ii1-11-11-1i−i-1-111−i−iii11ii−i−i-1-111-1-1iiii−i−i−i−i-1-111−i−iii1-1i−i-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii1-1i−i-1111-1-1−iiii−i−i−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
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χ2611-1-1−i−iii11-1−ii1-1-1−i−iii1-1−ii1-11-11-1−ii11-1-1−i−iii11−i−iii-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1−ii1-111-1-1−ii−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
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χ1404-44-4−4i4i−4i4i-200002-222i−2i2i−2i00004-4-44000000000000-2-2−4i4i−4i4i2222-2-22i2i−2i−2i2i2i−2i−2i−4i4i−4i4i4-44-400000000000000000000000000000000000000002i−2i2i−2i-22-220000000000000000000000000000000000000000
χ1414-4-444-4-44-2000022-2-222-2000044-4-4000000000000-2-24-4-44-2-22222-2-22222-2-24i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ1424-4-444-4-44-2000022-2-222-2000044-4-4000000000000-2-24-4-44-2-22222-2-22222-2-2−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ1434-4-44-444-4-2000022-22-2-22000044-4-4000000000000-2-2-444-4-2-2222222-2-2-2-2224i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ1444-4-44-444-4-2000022-22-2-22000044-4-4000000000000-2-2-444-4-2-2222222-2-2-2-222−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ1458-88-88i−8i8i−8i80000-88-88i−8i8i−8i0000-222-2000000000000-2-2−2i2i−2i2i2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-88-88i−8i8i−8i-400004-44−4i4i−4i4i0000-222-20000000000001−i151+i15−2i2i−2i2i−1+i15−1−i15−1+i15−1−i151−i151+i152ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-88i−8i8i−8i-400004-44−4i4i−4i4i0000-222-20000000000001+i151−i15−2i2i−2i2i−1−i15−1+i15−1−i15−1+i151+i151−i152ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-8−8i8i−8i8i80000-88-8−8i8i−8i8i0000-222-2000000000000-2-22i−2i2i−2i2222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-88-8−8i8i−8i8i-400004-444i−4i4i−4i0000-222-20000000000001−i151+i152i−2i2i−2i−1+i15−1−i15−1+i15−1−i151−i151+i15−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-8−8i8i−8i8i-400004-444i−4i4i−4i0000-222-20000000000001+i151−i152i−2i2i−2i−1−i15−1+i15−1−i15−1+i151+i151−i15−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-8-888-8-8880000-8-888-8-880000-2-222000000000000-2-2-222-2-2-22222-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-888-8-88-4000044-4-444-40000-2-2220000000000001−i151+i15-222-21−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-888-8-88-4000044-4-444-40000-2-2220000000000001+i151−i15-222-21+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-8-88-888-880000-8-88-888-80000-2-222000000000000-2-22-2-22-2-2222222-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-888-8-4000044-44-4-440000-2-2220000000000001−i151+i152-2-221−i151+i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-888-8-4000044-44-4-440000-2-2220000000000001+i151−i152-2-221+i151−i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.