Finite Group Databasebeta

← Group #13163191

Character table — Group #13163191

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size112222222222244444444444488888888818181818721122222222222444444444444888888888181818187211222222222224444444444448888888881818181872112222222222244444444444488888888818181818721122222222222444444444444888888888181818187211222222222224444444444448888888881818181872
order123333466668812121212242424242424242426666666616161616236333312666624241212121224242424242424246666666664848484863633331266662424121212122424242424242424666666666484848486226666466668812121212242424242424242426666666616161616266666612666624241212121224242424242424246666666664848484866666661266662424121212122424242424242424666666666484848486
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11
χ522222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-200000000000000
χ6222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20
χ7222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220
χ8222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000
χ9222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000
χ10222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000
χ11222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000
χ1222-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-100000
χ1322-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-21100000
χ1422-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i300000
χ1522-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i300000
χ1622-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-1200000
χ1722-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-200000
χ1822-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i3000000
χ1922-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i3000000
χ2022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-100000
χ2122-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-2100000
χ2222-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i300000
χ2322-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i300000
χ242-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430
χ252-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430
χ262-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470
χ272-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470
χ28444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000
χ2944-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-4220000000000000000000000
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χ1191111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ1201111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11
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χ128222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i300000
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χ2314-4-2-24-2022-4222−220000−22−2222−22−2200000000000000−2−2i32+2i31+i31+i3−2−2i31+i30−1−i3−1−i32+2i3−1−i3−2ζ14+2ζ262ζ14−2ζ260000ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26−2ζ14+2ζ262ζ14−2ζ26ζ14−ζ26−ζ14+ζ2600000000000000−2+2i32−2i31−i31−i3−2+2i31−i30−1+i3−1+i32−2i3−1+i32ζ10−2ζ46−2ζ10+2ζ460000−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ462ζ10−2ζ46−2ζ10+2ζ46−ζ10+ζ46ζ10−ζ4600000000000000-4422-420-2-24-2−222200002−22−2−22222−2000000000000002+2i3−2−2i3−1−i3−1−i32+2i3−1−i301+i31+i3−2−2i31+i32ζ14−2ζ26−2ζ14+2ζ260000−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ262ζ14−2ζ26−2ζ14+2ζ26−ζ14+ζ26ζ14−ζ26000000000000002−2i3−2+2i3−1+i3−1+i32−2i3−1+i301−i31−i3−2+2i31−i3−2ζ10+2ζ462ζ10−2ζ460000ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46−2ζ10+2ζ462ζ10−2ζ46ζ10−ζ46−ζ10+ζ4600000000000000
χ2324-4-2-24-2022-42−222200002−22−2−22222−200000000000000−2−2i32+2i31+i31+i3−2−2i31+i30−1−i3−1−i32+2i3−1−i32ζ14−2ζ26−2ζ14+2ζ260000−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ262ζ14−2ζ26−2ζ14+2ζ26−ζ14+ζ26ζ14−ζ2600000000000000−2+2i32−2i31−i31−i3−2+2i31−i30−1+i3−1+i32−2i3−1+i3−2ζ10+2ζ462ζ10−2ζ460000ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46−2ζ10+2ζ462ζ10−2ζ46ζ10−ζ46−ζ10+ζ4600000000000000-4422-420-2-24-222−220000−22−2222−22−22000000000000002+2i3−2−2i3−1−i3−1−i32+2i3−1−i301+i31+i3−2−2i31+i3−2ζ14+2ζ262ζ14−2ζ260000ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26−2ζ14+2ζ262ζ14−2ζ26ζ14−ζ26−ζ14+ζ26000000000000002−2i3−2+2i3−1+i3−1+i32−2i3−1+i301−i31−i3−2+2i31−i32ζ10−2ζ46−2ζ10+2ζ460000−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ462ζ10−2ζ46−2ζ10+2ζ46−ζ10+ζ46ζ10−ζ4600000000000000
χ2334-4-2-2-240222-422−220000−22−22−2222−2200000000000000−2−2i32+2i31+i31+i31+i3−2−2i30−1−i3−1−i3−1−i32+2i3−2ζ14+2ζ262ζ14−2ζ260000ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26−2ζ14+2ζ262ζ14−2ζ2600000000000000−2+2i32−2i31−i31−i31−i3−2+2i30−1+i3−1+i3−1+i32−2i32ζ10−2ζ46−2ζ10+2ζ460000−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ462ζ10−2ζ46−2ζ10+2ζ4600000000000000-44222-40-2-2-24−222200002−22−22−2−2222000000000000002+2i3−2−2i3−1−i3−1−i3−1−i32+2i301+i31+i31+i3−2−2i32ζ14−2ζ26−2ζ14+2ζ260000−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ262ζ14−2ζ26−2ζ14+2ζ26000000000000002−2i3−2+2i3−1+i3−1+i3−1+i32−2i301−i31−i31−i3−2+2i3−2ζ10+2ζ462ζ10−2ζ460000ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46−2ζ10+2ζ462ζ10−2ζ4600000000000000
χ2344-4-2-2-240222-4−222200002−22−22−2−222200000000000000−2−2i32+2i31+i31+i31+i3−2−2i30−1−i3−1−i3−1−i32+2i32ζ14−2ζ26−2ζ14+2ζ260000−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ262ζ14−2ζ26−2ζ14+2ζ2600000000000000−2+2i32−2i31−i31−i31−i3−2+2i30−1+i3−1+i3−1+i32−2i3−2ζ10+2ζ462ζ10−2ζ460000ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46−2ζ10+2ζ462ζ10−2ζ4600000000000000-44222-40-2-2-2422−220000−22−22−2222−22000000000000002+2i3−2−2i3−1−i3−1−i3−1−i32+2i301+i31+i31+i3−2−2i3−2ζ14+2ζ262ζ14−2ζ260000ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26ζ14−ζ26−ζ14+ζ26−2ζ14+2ζ262ζ14−2ζ26000000000000002−2i3−2+2i3−1+i3−1+i3−1+i32−2i301−i31−i31−i3−2+2i32ζ10−2ζ46−2ζ10+2ζ460000−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ46−ζ10+ζ46ζ10−ζ462ζ10−2ζ46−2ζ10+2ζ4600000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.