Finite Group Databasebeta

← Group #14280744

Character table — Group #14280744

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11112222222222444444444444444444444444444444444444444444444444444444101010102020202020202020202060606060606060601111222222222244444444444444444444444444444444444444444444444444444410101010202020202020202020206060606060606060
order122222366666662256666101010101010101010101010101010151530303030303030303030303030303030303030303030303030303030303044444412121212121212128888888822222266666666221066661010101010101010101010101010103030303030303030303030303030303030303030303030303030303030303030444444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ611111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ711111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii11111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii
χ811111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i11111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i
χ911-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−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+ζ10911-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−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+ζ109
χ1011-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−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−ζ10911-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−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
χ1111-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−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−ζ11911-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−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
χ1211-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−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+ζ11911-1-11-11111-1-1-1-11-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−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+ζ119
χ1311-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−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−ζ10911-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−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−ζ109
χ1411-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−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+ζ10911-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−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
χ1511-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−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+ζ11911-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−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
χ1611-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−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−ζ11911-1-11-11111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−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−ζ119
χ17222222-1-1-1-1-1-1-1-1222-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1222-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1-1-1-1-1222-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111100000000222222-1-1-1-1-1-1-1-1222-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111100000000
χ19222222-1-1-1-1-1-1-1-1-2-2211112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-1-1-1-1111100000000222222-1-1-1-1-1-1-1-1-2-2211112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-1-1-1-1111100000000
χ20222222-1-1-1-1-1-1-1-1-2-2211112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2221111-1-1-1-100000000222222-1-1-1-1-1-1-1-1-2-2211112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2221111-1-1-1-100000000
χ212222-2-222-2-2-2-22200200002-2-222-2-2000000002222-2-2-2-22222-2-2-2-200000000000000002-22-2002-22-20000000000002222-2-222-2-2-2-22200200002-2-222-2-2000000002222-2-2-2-22222-2-2-2-200000000000000002-22-2002-22-2000000000000
χ222222-2-222-2-2-2-22200200002-2-222-2-2000000002222-2-2-2-22222-2-2-2-20000000000000000-22-2200-22-220000000000002222-2-222-2-2-2-22200200002-2-222-2-2000000002222-2-2-2-22222-2-2-2-20000000000000000-22-2200-22-22000000000000
χ232222-2-2-1-11111-1-1002−i3i3−i3i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-22-200-11-11−i3i3−i3i3000000002222-2-2-1-11111-1-1002−i3i3−i3i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-22-200-11-11−i3i3−i3i300000000
χ242222-2-2-1-11111-1-1002−i3i3−i3i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-22-22001-11-1i3−i3i3−i3000000002222-2-2-1-11111-1-1002−i3i3−i3i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-22-22001-11-1i3−i3i3−i300000000
χ252222-2-2-1-11111-1-1002i3−i3i3−i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-200-11-11i3−i3i3−i3000000002222-2-2-1-11111-1-1002i3−i3i3−i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-200-11-11i3−i3i3−i300000000
χ262222-2-2-1-11111-1-1002i3−i3i3−i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-22001-11-1−i3i3−i3i3000000002222-2-2-1-11111-1-1002i3−i3i3−i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-22001-11-1−i3i3−i3i300000000
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χ1142222-2-2-1-11111-1-1002−i3i3−i3i32-2-222-2-200000000-1-1-1-11111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-22-22001-11-1i3−i3i3−i300000000-2-2-2-22211-1-1-1-11100-2i3−i3i3−i3-222-2-222000000001111-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-200-11-11−i3i3−i3i300000000
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χ1754-4-4400-22−2i32i32i3−2i32-200-1000015−51-1−55−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ1161−i1521+i152−1+i152−1−i152ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92−1+i1521−i152−1−i1521+i152−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ920000000000000000000000-444-4002-22i3−2i3−2i32i3-220010000-1−55-115−5ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116−1+i152−1−i1521−i1521+i152−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ921−i152−1+i1521+i152−1−i152ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ920000000000000000000000
χ1764-4-4400-222i3−2i3−2i32i32-20040000-400-440000000000-2-2222i3−2i3−2i32i32-22-2−2i32i32i3−2i300000000000000000000000000000000000000-444-4002-2−2i32i32i3−2i3-2200-400004004-4000000000022-2-2−2i32i32i3−2i3-22-222i3−2i3−2i32i300000000000000000000000000000000000000
χ1774-4-4400-222i3−2i3−2i32i32-200-100001−551-15−5ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ1161−i1521+i152−1+i152−1−i152−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−1+i1521−i152−1−i1521+i152ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ920000000000000000000000-444-4002-2−2i32i32i3−2i3-220010000-15−5-11−55−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−1+i152−1−i1521−i1521+i152ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ921−i152−1+i1521+i152−1−i152−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ920000000000000000000000
χ1784-4-4400-222i3−2i3−2i32i32-200-100001−551-15−5−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ1161−i1521+i152−1+i152−1−i152−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−1+i1521−i152−1−i1521+i152ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ920000000000000000000000-444-4002-2−2i32i32i3−2i3-220010000-15−5-11−55ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−1+i152−1−i1521−i1521+i152ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ921−i152−1+i1521+i152−1−i152−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ920000000000000000000000
χ1794-4-4400-222i3−2i3−2i32i32-200-1000015−51-1−55ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ1161+i1521−i152−1−i152−1+i152−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−1−i1521+i152−1+i1521−i152ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ1160000000000000000000000-444-4002-2−2i32i32i3−2i3-220010000-1−55-115−5−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−1−i152−1+i1521+i1521−i152ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ1161+i152−1−i1521−i152−1+i152−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ1160000000000000000000000
χ1804-4-4400-222i3−2i3−2i32i32-200-1000015−51-1−55−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ1161+i1521−i152−1−i152−1+i152−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−1−i1521+i152−1+i1521−i152ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ1160000000000000000000000-444-4002-2−2i32i32i3−2i3-220010000-1−55-115−5ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116−1−i152−1+i1521+i1521−i152ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ1161+i152−1−i1521−i152−1+i152−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4−ζ68+ζ76+ζ92ζ4+ζ68−ζ76−ζ92−ζ28+ζ44+ζ52−ζ116ζ28−ζ44−ζ52+ζ116ζ4−ζ68−ζ76+ζ92−ζ4+ζ68+ζ76−ζ92−ζ28−ζ44+ζ52+ζ116ζ28+ζ44−ζ52−ζ116ζ4+ζ68−ζ76−ζ92−ζ4−ζ68+ζ76+ζ92ζ28−ζ44−ζ52+ζ116−ζ28+ζ44+ζ52−ζ116−ζ4+ζ68+ζ76−ζ92ζ4−ζ68−ζ76+ζ92ζ28+ζ44−ζ52−ζ116−ζ28−ζ44+ζ52+ζ1160000000000000000000000

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