Finite Group Databasebeta

← Group #14281697

Character table — Group #14281697

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order12223444444666121212122244566661010101212121212121212151520202020303030303030606060606060606044441010101020202020202020203030303030303030606060606060606060606060606060602244446666121212122244666612121212121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ5111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1
χ101111111-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-111
χ111111111-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ121111111-1-1-1-1111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ131111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ141111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ151111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i
χ161111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii
χ1711-1-111-1i−ii−i1-1-1ii−i−i1-1i−i111-1-11-1-11-1i−iii−i−i11ii−i−i11-1-1-1-1iiii−i−i−i−iii−i−i11-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-11-1i−i11-1-1ii−i−i1-1i−i11-1-1i−i1-1ii−i−iζ7+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−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−ζ119ζ7+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−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
χ1811-1-111-1i−ii−i1-1-1ii−i−i1-1i−i111-1-11-1-11-1i−iii−i−i11ii−i−i11-1-1-1-1iiii−i−i−i−iii−i−i11-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1-11-1i−i11-1-1ii−i−i1-1i−i11-1-1i−i1-1ii−i−i−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−ζ109ζ13+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−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−ζ109ζ13+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
χ1911-1-111-1i−ii−i1-1-1ii−i−i1-1i−i111-1-11-1-11-1i−iii−i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i−i−iii11-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11-11−ii-1-111−i−iii-11−ii-1-111−ii-11−i−iii−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+ζ119ζ7+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−ζ109−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+ζ119ζ7+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−ζ109
χ2011-1-111-1i−ii−i1-1-1ii−i−i1-1i−i111-1-11-1-11-1i−iii−i−i11ii−i−i11-1-1-1-1iiii−i−i−i−i−i−iii11-1-11-1i−iii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i-11-11−ii-1-111−i−iii-11−ii-1-111−ii-11−i−iiiζ13+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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ2111-1-111-1i−ii−i1-1-1ii−i−i-11−ii1-1-1111-1-11-1i−i−i−iii11ii−i−i11-1-1-1-1iiii−i−i−i−iii−i−i-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1-11-1i−i11-1-1ii−i−i-11−ii-1-111i−i1-1−i−iiiζ7+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−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−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−ζ109ζ13+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
χ2211-1-111-1i−ii−i1-1-1ii−i−i-11−ii1-1-1111-1-11-1i−i−i−iii11ii−i−i11-1-1-1-1iiii−i−i−i−iii−i−i-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1-11-1i−i11-1-1ii−i−i-11−ii-1-111i−i1-1−i−iii−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−ζ109ζ13+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+ζ119ζ7+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−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
χ2311-1-111-1i−ii−i1-1-1ii−i−i-11−ii1-1-1111-1-11-1i−i−i−iii11ii−i−i11-1-1-1-1iiii−i−i−i−i−i−iii-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-11-11−ii-1-111−i−iii1-1i−i11-1-1−ii-11ii−i−i−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+ζ119ζ7+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−ζ109ζ13+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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ2411-1-111-1i−ii−i1-1-1ii−i−i-11−ii1-1-1111-1-11-1i−i−i−iii11ii−i−i11-1-1-1-1iiii−i−i−i−i−i−iii-1-1111-1i−i−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii-11-11−ii-1-111−i−iii1-1i−i11-1-1−ii-11ii−i−iζ13+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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−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+ζ119ζ7+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−ζ109
χ2511-1-111-1−ii−ii1-1-1−i−iii1-1−ii111-1-11-1-11-1−ii−i−iii11−i−iii11-1-1-1-1−i−i−i−iiiiiii−i−i11-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11-11i−i-1-111ii−i−i-11i−i-1-111i−i-11ii−i−iζ7+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−ζ109−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+ζ119ζ7+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−ζ109−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
χ2611-1-111-1−ii−ii1-1-1−i−iii1-1−ii111-1-11-1-11-1−ii−i−iii11−i−iii11-1-1-1-1−i−i−i−iiiiiii−i−i11-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii-11-11i−i-1-111ii−i−i-11i−i-1-111i−i-11ii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+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
χ2711-1-111-1−ii−ii1-1-1−i−iii1-1−ii111-1-11-1-11-1−ii−i−iii11−i−iii11-1-1-1-1−i−i−i−iiiii−i−iii11-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-11-1−ii11-1-1−i−iii1-1−ii11-1-1−ii1-1−i−iii−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−ζ119ζ7+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−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−ζ119ζ7+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
χ2811-1-111-1−ii−ii1-1-1−i−iii1-1−ii111-1-11-1-11-1−ii−i−iii11−i−iii11-1-1-1-1−i−i−i−iiiii−i−iii11-1-11-1−ii−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1-11-1−ii11-1-1−i−iii1-1−ii11-1-1−ii1-1−i−iiiζ13+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−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−ζ109ζ13+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−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
χ2911-1-111-1−ii−ii1-1-1−i−iii-11i−i1-1-1111-1-11-1−iiii−i−i11−i−iii11-1-1-1-1−i−i−i−iiiiiii−i−i-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-11-11i−i-1-111ii−i−i1-1−ii11-1-1i−i-11−i−iiiζ7+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−ζ109−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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+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
χ3011-1-111-1−ii−ii1-1-1−i−iii-11i−i1-1-1111-1-11-1−iiii−i−i11−i−iii11-1-1-1-1−i−i−i−iiiiiii−i−i-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i-11-11i−i-1-111ii−i−i1-1−ii11-1-1i−i-11−i−iii−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+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−ζ119ζ7+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−ζ109−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
χ3111-1-111-1−ii−ii1-1-1−i−iii-11i−i1-1-1111-1-11-1−iiii−i−i11−i−iii11-1-1-1-1−i−i−i−iiiii−i−iii-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1-11-1−ii11-1-1−i−iii-11i−i-1-111−ii1-1ii−i−i−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−ζ119ζ7+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+ζ109ζ13+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−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
χ3211-1-111-1−ii−ii1-1-1−i−iii-11i−i1-1-1111-1-11-1−iiii−i−i11−i−iii11-1-1-1-1−i−i−i−iiiii−i−iii-1-1111-1−iiii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1-11-1−ii11-1-1−i−iii-11i−i-1-111−ii1-1ii−i−iζ13+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−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−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−ζ119ζ7+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
χ3322222-2-222-2-2222-2-2-2-2000020000222-2-222000022-2-2-2-2222222-2-2-2-2-2-2-2-222220000-2-222000000000000-2-2-2-2222200000000-2-222-2-2-2-2-2-2222200000000-2-22200000000000000000000
χ3422222-2-222-2-2222-2-2-2-2000020000222-2-222000022-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000-2-222000000000000-2-2-2-222220000000022-2-2222222-2-2-2-20000000022-2-200000000000000000000
χ3522222-2-2-2-2222222222000020000222-2-2-2-200002222222222222222222222220000-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000022-2-2-2-22222222200000000-2-2-2-200000000000000000000
χ3622222-2-2-2-2222222222000020000222-2-2-2-2000022222222222222222222-2-2-2-20000-2-2-2-2000000000000-2-2-2-2-2-2-2-200000000-2-22222-2-2-2-2-2-2-2-200000000222200000000000000000000
χ372222-1222222-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ382222-1222222-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ392222-1222222-1-1-1-1-1-1-1-2-2-2-221111222-1-1-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-111110000000000000000
χ402222-1222222-1-1-1-1-1-1-1-2-2-2-221111222-1-1-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2111111112222-1-1-1-11111-1-1-1-10000000000000000
χ412222-122-2-2-2-2-1-1-1111122-2-22-1-1-1-1222-1-1111111-1-1-2-2-2-2-1-1-1-1-1-1111111112222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-2221111-1-1-1-1-2-2221111-1-111-1-1-1-10000000000000000
χ422222-122-2-2-2-2-1-1-1111122-2-22-1-1-1-1222-1-1111111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111112222-2-2-1-1-1-1111122-2-2-1-1-1-111-1-111110000000000000000
χ432222-122-2-2-2-2-1-1-11111-2-22221111222-1-111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-222-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-122-2-2-1-1-1-1-1-11111110000000000000000
χ442222-122-2-2-2-2-1-1-11111-2-22221111222-1-111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2-2-2-2-222-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-12222-2-2-1-1-1-11111-2-222111111-1-1-1-1-1-10000000000000000
χ452222-1-2-222-2-2-1-1-1111100002−i3i3−i3i322211-1-1−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-11111111122220000-2-2220000−i3−i3i3i3−i3−i3i3i31111-1-1-1-1−i3−i3i3i3−i3−i3i3i3-2-222-2-21111-1-1-1-10000−i3i3−i3i311-1-1−i3i3−i3i30000000000000000
χ462222-1-2-222-2-2-1-1-1111100002−i3i3−i3i322211-1-1−i3i3−i3i3-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-20000-2-2220000−i3−i3i3i3−i3−i3i3i31111-1-1-1-1−i3−i3i3i3−i3−i3i3i322-2-222-1-1-1-111110000i3−i3i3−i3-1-111i3−i3i3−i30000000000000000
χ472222-1-2-222-2-2-1-1-1111100002i3−i3i3−i322211-1-1i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-11111111122220000-2-2220000i3i3−i3−i3i3i3−i3−i31111-1-1-1-1i3i3−i3−i3i3i3−i3−i3-2-222-2-21111-1-1-1-10000i3−i3i3−i311-1-1i3−i3i3−i30000000000000000
χ482222-1-2-222-2-2-1-1-1111100002i3−i3i3−i322211-1-1i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-20000-2-2220000i3i3−i3−i3i3i3−i3−i31111-1-1-1-1i3i3−i3−i3i3i3−i3−i322-2-222-1-1-1-111110000−i3i3−i3i3-1-111−i3i3−i3i30000000000000000
χ492222-1-2-2-2-222-1-1-1-1-1-1-100002−i3i3−i3i32221111i3−i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000−i3−i3i3i3−i3−i3i3i311111111i3i3−i3−i3i3i3−i3−i322-2-2-2-2-1-1-1-1-1-1-1-10000i3−i3i3−i31111−i3i3−i3i30000000000000000
χ502222-1-2-2-2-222-1-1-1-1-1-1-100002−i3i3−i3i32221111i3−i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000−i3−i3i3i3−i3−i3i3i311111111i3i3−i3−i3i3i3−i3−i3-2-22222111111110000−i3i3−i3i3-1-1-1-1i3−i3i3−i30000000000000000
χ512222-1-2-2-2-222-1-1-1-1-1-1-100002i3−i3i3−i32221111−i3i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000i3i3−i3−i3i3i3−i3−i311111111−i3−i3i3i3−i3−i3i3i322-2-2-2-2-1-1-1-1-1-1-1-10000−i3i3−i3i31111i3−i3i3−i30000000000000000
χ522222-1-2-2-2-222-1-1-1-1-1-1-100002i3−i3i3−i32221111−i3i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000i3i3−i3−i3i3i3−i3−i311111111−i3−i3i3i3−i3−i3i3i3-2-22222111111110000i3−i3i3−i3-1-1-1-1−i3i3−i3i30000000000000000
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χ5522-2-22-22−2i2i2i−2i2-2-22i2i−2i−2i0000200002-2-2-22−2i2i0000222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i0000-22−2i2i000000000000-2-222−2i−2i2i2i000000002-2-22−2i2i22-2-22i2i−2i−2i00000000−2i2i-2200000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.