Finite Group Databasebeta

← Group #14313012

Character table — Group #14313012

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order124422234446661212121222445666666101010121212121212151520202020303030303030606060606060606088881010101010102020202020203030303030303030303030306060606060606060606060608888882424242424242424888824242424242424242424242416161616161616161616161616161616
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
χ5111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111-1-111-1-1-1-11-1-1111-11-111-111-1-1-1-111-111-1-11111-1-1-1-1-1-1111111-1-1-1-111111-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111-1-111-1-1-1-11-1-1111-11-111-111-1-1-1-111-111-1-11111-1-1-1-1-1-1111111-1-1-1-111111-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111-1-111-1-1-1-11-1-1111-11-111-111-1-1-1-111-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1211111-1-111-1-1-1-11-1-1111-11-111-111-1-1-1-111-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1311111-1-111-1-1-1-11-1-111-11-1111-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111-1-111-1-1-1-11-1-111-11-1111-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111-1-111-1-1-1-11-1-111-11-1111-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111-1-111-1-1-1-11-1-111-11-1111-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-1-11-1111-1111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−i-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−ii−iii−i−iii−i−ii−ii−ii−ii−iii−i−iii−i−iζ7+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−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ1811-1-1-11-1111-1111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−i-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−ii−iii−i−iii−i−ii−ii−ii−ii−iii−i−iii−i−i−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−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ1911-1-1-11-1111-1111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−ii−i−iii−i−iii−ii−ii−ii−ii−i−iii−i−iii−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−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ2011-1-1-11-1111-1111-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−ii−i−iii−i−iii−ii−ii−ii−ii−i−iii−i−iiiζ13+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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
χ2111-1-1-11-1111-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−ii−iii−i−iii−i−i−ii−iii−ii−i−i−iii−i−iiiζ7+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+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
χ2211-1-1-11-1111-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−ii−iii−i−iii−i−i−ii−iii−ii−i−i−iii−i−iii−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−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+ζ109
χ2311-1-1-11-1111-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−ii−i−iii−i−iiii−ii−i−ii−iiii−i−iii−i−i−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−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+ζ119
χ2411-1-1-11-1111-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−ii−i−iii−i−iiii−ii−i−ii−iiii−i−iii−i−iζ13+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+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
χ2511-1-1-1-1111-11-1-1111-1-11-1-111-1111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111ii−i−i-1111-1-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−iiii−iii−i−i−i−iiii−i−iii−i−iiii−i−i−i−iiiζ7+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+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ2611-1-1-1-1111-11-1-1111-1-11-1-111-1111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111ii−i−i-1111-1-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−iiii−iii−i−i−i−iiii−i−iii−i−iiii−i−i−i−iii−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−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ2711-1-1-1-1111-11-1-1111-1-11-1-111-1111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111−i−iii-1111-1-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−i−ii−i−iiiii−i−i−iii−i−iii−i−i−iiiii−i−i−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−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
χ2811-1-1-1-1111-11-1-1111-1-11-1-111-1111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111−i−iii-1111-1-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−i−ii−i−iiiii−i−i−iii−i−iii−i−i−iiiii−i−iζ13+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+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ2911-1-1-1-1111-11-1-1111-1-1-111-11-11-1-111-1-111-111-1-111-1-111-1-1-1-111-1-1-1-11111ii−i−i-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iiii−iii−i−i−i−iii−iii−ii−i−ii−i−iiiii−i−iζ7+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−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
χ3011-1-1-1-1111-11-1-1111-1-1-111-11-11-1-111-1-111-111-1-111-1-111-1-1-1-111-1-1-1-11111ii−i−i-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iiii−iii−i−i−i−iii−iii−ii−i−ii−i−iiiii−i−i−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+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−ζ109
χ3111-1-1-1-1111-11-1-1111-1-1-111-11-11-1-111-1-111-111-1-111-1-111-1-1-1-111-1-1-1-11111−i−iii-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−i−ii−i−iiiii−i−ii−i−ii−iii−iii−i−i−i−iii−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+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−ζ119
χ3211-1-1-1-1111-11-1-1111-1-1-111-11-11-1-111-1-111-111-1-111-1-111-1-1-1-111-1-1-1-11111−i−iii-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−i−ii−i−iiiii−i−ii−i−ii−iii−iii−i−i−i−iiiζ13+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−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
χ332222222-1222-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222-1222-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2-2-21111111111110000000000000000
χ352222222-1222-1-1-1-1-1-1-1-2-2-2-22-1-11111222-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ362222222-1222-1-1-1-1-1-1-1-2-2-2-22-1-11111222-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2-2-2-2-21111111122221111-1-1-1-1-1-1-1-10000000000000000
χ3722222-2-2-12-2-211-111-1-12-22-22-11-1-111-2-22-11-1-111-1-122-2-21111-1-1-1-1-1-1111122222-222-2-22-222-2-2-1-111-1-1-1-11111-1-111-1-1-1-11111-2-2-2-222-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000
χ3822222-2-2-12-2-211-111-1-12-22-22-11-1-111-2-22-11-1-111-1-122-2-21111-1-1-1-1-1-11111-2-2-2-22-222-2-22-222-2-2-1-111-1-1-1-11111-1-111-1-1-1-111112222-2-21111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ3922222-2-2-12-2-211-111-1-1-22-222-1111-1-1-2-22-1111-1-1-1-122-2-21111-1-1-1-1-1-1111122222-2-2-2222-2-2-222-1-1111111-1-1-1-1-1-1111111-1-1-1-1-2-2-2-222-1-1-1-11111-2-222-1-1111111-1-1-1-10000000000000000
χ4022222-2-2-12-2-211-111-1-1-22-222-1111-1-1-2-22-1111-1-1-1-122-2-21111-1-1-1-1-1-11111-2-2-2-22-2-2-2222-2-2-222-1-1111111-1-1-1-1-1-1111111-1-1-1-12222-2-21111-1-1-1-122-2-211-1-1-1-1-1-111110000000000000000
χ412222-22-22-2-22222222200002-2-20000222-2-20000222222222222222222222222-2-20000-2-20000-2-2-2-200000000-2-2-2-2000000002-22-2-2-2222222220000-2-2-2-2000000000000000000000000
χ422222-22-22-2-22222222200002-2-20000222-2-2000022222222222222222222-2-2-2-2-2-20000-2-20000-2-2-2-200000000-2-2-2-200000000-22-2222-2-2-2-2-2-2-2-200002222000000000000000000000000
χ432222-22-2-1-2-22-1-1-1-1-1-1-10000211−i3i3−i3i322211−i3i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-20000-2-200001111−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i32-22-2-2-2-1-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ442222-22-2-1-2-22-1-1-1-1-1-1-10000211−i3i3−i3i322211−i3i3−i3i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-200001111−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3-22-2222111111110000-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ452222-22-2-1-2-22-1-1-1-1-1-1-10000211i3−i3i3−i322211i3−i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-20000-2-200001111i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i32-22-2-2-2-1-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ462222-22-2-1-2-22-1-1-1-1-1-1-10000211i3−i3i3−i322211i3−i3i3−i3-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-200001111i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i3-22-2222111111110000-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ472222-2-222-22-2-2-22-2-22200002-220000-2-22-2200002222-2-2-2-2-2-2222222-2-2-2-22222-220000-220000-2-22200000000-2-22200000000-22-22-2-22222-2-2-2-20000-2-222000000000000000000000000
χ482222-2-222-22-2-2-22-2-22200002-220000-2-22-2200002222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-220000-220000-2-22200000000-2-222000000002-22-222-2-2-2-22222000022-2-2000000000000000000000000
χ492222-2-22-1-22-211-111-1-1000021-1−i3i3i3−i3-2-221-1−i3i3i3−i3-1-122-2-21111-1-1-1-1-1-111112222-220000-22000011-1-1−i3−i3i3i3i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22-22-2-2-1-1-1-11111000011-1-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ502222-2-22-1-22-211-111-1-1000021-1−i3i3i3−i3-2-221-1−i3i3i3−i3-1-122-2-21111-1-1-1-1-1-11111-2-2-2-2-220000-22000011-1-1−i3−i3i3i3i3i3−i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-22-2221111-1-1-1-10000-1-111i3−i3i3−i3−i3i3−i3i30000000000000000
χ512222-2-22-1-22-211-111-1-1000021-1i3−i3−i3i3-2-221-1i3−i3−i3i3-1-122-2-21111-1-1-1-1-1-111112222-220000-22000011-1-1i3i3−i3−i3−i3−i3i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22-22-2-2-1-1-1-11111000011-1-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ522222-2-22-1-22-211-111-1-1000021-1i3−i3−i3i3-2-221-1i3−i3−i3i3-1-122-2-21111-1-1-1-1-1-11111-2-2-2-2-220000-22000011-1-1i3i3−i3−i3−i3−i3i3i311-1-1i3i3−i3−i3−i3−i3i3i32-22-2221111-1-1-1-10000-1-111−i3i3−i3i3i3−i3i3−i30000000000000000
χ5322-2-22222-2-2-2222-2-2-2-200002220000222-2-2000022-2-2-2-2222222-2-2-2-2-2-2-2-22i2i−2i−2i220000-2-20000222200000000-2-2-2-2000000002i−2i−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i0000−2i2i−2i2i000000000000000000000000
χ5422-2-22222-2-2-2222-2-2-2-200002220000222-2-2000022-2-2-2-2222222-2-2-2-2-2-2-2-2−2i−2i2i2i220000-2-20000222200000000-2-2-2-200000000−2i2i2i−2i2i−2i−2i−2i2i2i−2i−2i2i2i00002i−2i2i−2i000000000000000000000000
χ5522-2-2222-1-2-2-2-1-1-1111100002-1-1−i3i3−i3i322211i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-1111111112i2i−2i−2i220000-2-20000-1-1-1-1−i3−i3i3i3−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i32i−2i−2i2i−2i2i−i−iii−i−iii0000i−ii−i3−3−333−3−330000000000000000
χ5622-2-2222-1-2-2-2-1-1-1111100002-1-1−i3i3−i3i322211i3−i3i3−i3-1-1-2-2-2-2-1-1-1-1-1-111111111−2i−2i2i2i220000-2-20000-1-1-1-1−i3−i3i3i3−i3−i3i3i31111i3i3−i3−i3i3i3−i3−i3−2i2i2i−2i2i−2iii−i−iii−i−i0000−ii−ii−333−3−333−30000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.