Finite Group Databasebeta

← Group #13166757

Character table — Group #13166757

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112444488181818181818242424242424112444488181818181818242424242424112444488181818181818242424242424112444488181818181818242424242424112444488181818181818242424242424112444488181818181818242424242424
order12433661212881616161644121212123612336612122424484848481212121212123612336612122424484848481212121212122246666121288161616164412121212661266661212242448484848121212121212661266661212242448484848121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ311111111111-1-1-1-11-111-1-111111111111-1-1-1-11-111-1-111111111111-1-1-1-11-111-1-111111111111-1-1-1-11-111-1-111111111111-1-1-1-11-111-1-111111111111-1-1-1-11-111-1-1
χ411111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-11-1-111
χ5222222222-2-20000000000222222222-2-20000000000222222222-2-20000000000222222222-2-20000000000222222222-2-20000000000222222222-2-20000000000
χ622-22222-2-20022−2−200000022-22222-2-20022−2−200000022-22222-2-20022−2−200000022-22222-2-20022−2−200000022-22222-2-20022−2−200000022-22222-2-20022−2−2000000
χ722-22222-2-200−2−22200000022-22222-2-200−2−22200000022-22222-2-200−2−22200000022-22222-2-200−2−22200000022-22222-2-200−2−22200000022-22222-2-200−2−222000000
χ82-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ92-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ102-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ112-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ124441-21-21-20000000200-1-14441-21-21-20000000200-1-14441-21-21-20000000200-1-14441-21-21-20000000200-1-14441-21-21-20000000200-1-14441-21-21-20000000200-1-1
χ134441-21-21-20000000-200114441-21-21-20000000-200114441-21-21-20000000-200114441-21-21-20000000-200114441-21-21-20000000-200114441-21-21-20000000-20011
χ14444-21-21-2100000020-1-100444-21-21-2100000020-1-100444-21-21-2100000020-1-100444-21-21-2100000020-1-100444-21-21-2100000020-1-100444-21-21-2100000020-1-100
χ15444-21-21-21000000-201100444-21-21-21000000-201100444-21-21-21000000-201100444-21-21-21000000-201100444-21-21-21000000-201100444-21-21-21000000-201100
χ1644-41-21-2-120000000000−i3i344-41-21-2-120000000000−i3i344-41-21-2-120000000000−i3i344-41-21-2-120000000000−i3i344-41-21-2-120000000000−i3i344-41-21-2-120000000000−i3i3
χ1744-41-21-2-120000000000i3−i344-41-21-2-120000000000i3−i344-41-21-2-120000000000i3−i344-41-21-2-120000000000i3−i344-41-21-2-120000000000i3−i344-41-21-2-120000000000i3−i3
χ1844-4-21-212-100000000−i3i30044-4-21-212-100000000−i3i30044-4-21-212-100000000−i3i30044-4-21-212-100000000−i3i30044-4-21-212-100000000−i3i30044-4-21-212-100000000−i3i300
χ1944-4-21-212-100000000i3−i30044-4-21-212-100000000i3−i30044-4-21-212-100000000i3−i30044-4-21-212-100000000i3−i30044-4-21-212-100000000i3−i30044-4-21-212-100000000i3−i300
χ208-802-4-24000000000000008-802-4-24000000000000008-802-4-24000000000000008-802-4-24000000000000008-802-4-24000000000000008-802-4-2400000000000000
χ218-80-424-2000000000000008-80-424-2000000000000008-80-424-2000000000000008-80-424-2000000000000008-80-424-2000000000000008-80-424-200000000000000
χ22111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ23111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ2411111111111-1-1-1-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i3211111111111-1-1-1-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ2511111111111-1-1-1-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i3211111111111-1-1-1-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ26222222222-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000222222222-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000
χ2722-22222-2-20022−2−2000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ2600000022-22222-2-20022−2−2000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000
χ2822-22222-2-200−2−222000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ2600000022-22222-2-200−2−222000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000
χ292-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1+i31−i30−1+i3−1+i31−i31−i300ζ10−ζ46−ζ10+ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ43000000−1−i31+i30−1−i3−1−i31+i31+i300−ζ14+ζ26ζ14−ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ290000002-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1+i31−i30−1+i3−1+i31−i31−i300ζ10−ζ46−ζ10+ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ43000000−1−i31+i30−1−i3−1−i31+i31+i300−ζ14+ζ26ζ14−ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ29000000
χ302-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−1+i31−i30−1+i3−1+i31−i31−i300ζ10−ζ46−ζ10+ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43000000−1−i31+i30−1−i3−1−i31+i31+i300−ζ14+ζ26ζ14−ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ290000002-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−1+i31−i30−1+i3−1+i31−i31−i300ζ10−ζ46−ζ10+ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43000000−1−i31+i30−1−i3−1−i31+i31+i300−ζ14+ζ26ζ14−ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ29000000
χ312-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000−1+i31−i30−1+i3−1+i31−i31−i300−ζ10+ζ46ζ10−ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31000000−1−i31+i30−1−i3−1−i31+i31+i300ζ14−ζ26−ζ14+ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ470000002-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000−1+i31−i30−1+i3−1+i31−i31−i300−ζ10+ζ46ζ10−ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31000000−1−i31+i30−1−i3−1−i31+i31+i300ζ14−ζ26−ζ14+ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ47000000
χ322-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000−1+i31−i30−1+i3−1+i31−i31−i300−ζ10+ζ46ζ10−ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31000000−1−i31+i30−1−i3−1−i31+i31+i300ζ14−ζ26−ζ14+ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ470000002-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000−1+i31−i30−1+i3−1+i31−i31−i300−ζ10+ζ46ζ10−ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31000000−1−i31+i30−1−i3−1−i31+i31+i300ζ14−ζ26−ζ14+ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ47000000
χ334441-21-21-20000000200-1-1−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i30000000−1+i3001−i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i30000000−1−i3001+i321+i324441-21-21-20000000200-1-1−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i30000000−1+i3001−i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i30000000−1−i3001+i321+i32
χ344441-21-21-20000000-20011−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i300000001−i300−1+i32−1+i32−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i300000001+i300−1−i32−1−i324441-21-21-20000000-20011−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i300000001−i300−1+i32−1+i32−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i300000001+i300−1−i32−1−i32
χ35444-21-21-2100000020-1-100−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32000000−1+i301−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32000000−1−i301+i321+i3200444-21-21-2100000020-1-100−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32000000−1+i301−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32000000−1−i301+i321+i3200
χ36444-21-21-21000000-201100−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i320000001−i30−1+i32−1+i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i320000001+i30−1−i32−1−i3200444-21-21-21000000-201100−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i320000001−i30−1+i32−1+i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i320000001+i30−1−i32−1−i3200
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χ99444-21-21-21000000-201100−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i320000001−i30−1+i32−1+i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i320000001+i30−1−i32−1−i3200-4-4-42-12-12-100000020-1-1002−2i32−2i32−2i3−1+i31−i32−1+i31−i32−1+i31−i32000000−1+i301−i321−i32002+2i32+2i32+2i3−1−i31+i32−1−i31+i32−1−i31+i32000000−1−i301+i321+i3200
χ10044-41-21-2-120000000000−i3i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i300000000003+i32−3−i32−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i30000000000−3+i323−i32-4-44-12-121-20000000000i3−i32−2i32−2i3−2+2i31−i32−1+i31−i32−1+i3−1+i321−i30000000000−3−i323+i322+2i32+2i3−2−2i31+i32−1−i31+i32−1−i3−1−i321+i300000000003−i32−3+i32
χ10144-41-21-2-120000000000i3−i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i30000000000−3−i323+i32−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i300000000003−i32−3+i32-4-44-12-121-20000000000−i3i32−2i32−2i3−2+2i31−i32−1+i31−i32−1+i3−1+i321−i300000000003+i32−3−i322+2i32+2i3−2−2i31+i32−1−i31+i32−1−i3−1−i321+i30000000000−3+i323−i32
χ10244-4-21-212-100000000−i3i300−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i32000000003+i32−3−i3200−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i3200000000−3+i323−i3200-4-442-12-1-2100000000i3−i3002−2i32−2i3−2+2i3−1+i31−i32−1+i31−i321−i3−1+i3200000000−3−i323+i32002+2i32+2i3−2−2i3−1−i31+i32−1−i31+i321+i3−1−i32000000003−i32−3+i3200
χ10344-4-21-212-100000000i3−i300−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i3200000000−3−i323+i3200−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i32000000003−i32−3+i3200-4-442-12-1-2100000000−i3i3002−2i32−2i3−2+2i3−1+i31−i32−1+i31−i321−i3−1+i32000000003+i32−3−i32002+2i32+2i3−2−2i3−1−i31+i32−1−i31+i321+i3−1−i3200000000−3+i323−i3200
χ1048-802-4-2400000000000000−4+4i34−4i30−1+i32−2i31−i3−2+2i300000000000000−4−4i34+4i30−1−i32+2i31+i3−2−2i300000000000000-880-242-4000000000000004−4i3−4+4i301−i3−2+2i3−1+i32−2i3000000000000004+4i3−4−4i301+i3−2−2i3−1−i32+2i300000000000000
χ1058-80-424-200000000000000−4+4i34−4i302−2i3−1+i3−2+2i31−i300000000000000−4−4i34+4i302+2i3−1−i3−2−2i31+i300000000000000-8804-2-42000000000000004−4i3−4+4i30−2+2i31−i32−2i3−1+i3000000000000004+4i3−4−4i30−2−2i31+i32+2i3−1−i300000000000000
χ106111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ107111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ10811111111111-1-1-1-11-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
χ10911111111111-1-1-1-1-11-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-111111-111-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ110222222222-2-20000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000-2-2-2-2-2-2-2-2-22200000000001+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i300000000001−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000
χ11122-22222-2-20022−2−2000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000-2-22-2-2-2-22200−2−2220000001+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ260000001−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000
χ11222-22222-2-200−2−222000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000-2-22-2-2-2-2220022−2−20000001+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000001−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000
χ1132-2022-2-2002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−1−i31+i30−1−i3−1−i31+i31+i300−ζ14+ζ26ζ14−ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ29000000−1+i31−i30−1+i3−1+i31−i31−i300ζ10−ζ46−ζ10+ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ43000000-220-2-22200−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000001+i3−1−i301+i31+i3−1−i3−1−i300ζ14−ζ26−ζ14+ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ290000001−i3−1+i301−i31−i3−1+i3−1+i300−ζ10+ζ46ζ10−ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43000000
χ1142-2022-2-2002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−1−i31+i30−1−i3−1−i31+i31+i300−ζ14+ζ26ζ14−ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ29000000−1+i31−i30−1+i3−1+i31−i31−i300ζ10−ζ46−ζ10+ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ43000000-220-2-22200−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000001+i3−1−i301+i31+i3−1−i3−1−i300ζ14−ζ26−ζ14+ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ290000001−i3−1+i301−i31−i3−1+i3−1+i300−ζ10+ζ46ζ10−ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ43000000
χ1152-2022-2-200−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000−1−i31+i30−1−i3−1−i31+i31+i300ζ14−ζ26−ζ14+ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ47000000−1+i31−i30−1+i3−1+i31−i31−i300−ζ10+ζ46ζ10−ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31000000-220-2-222002−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000001+i3−1−i301+i31+i3−1−i3−1−i300−ζ14+ζ26ζ14−ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ470000001−i3−1+i301−i31−i3−1+i3−1+i300ζ10−ζ46−ζ10+ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31000000
χ1162-2022-2-200−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000−1−i31+i30−1−i3−1−i31+i31+i300ζ14−ζ26−ζ14+ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ47000000−1+i31−i30−1+i3−1+i31−i31−i300−ζ10+ζ46ζ10−ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ31000000-220-2-222002−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000001+i3−1−i301+i31+i3−1−i3−1−i300−ζ14+ζ26ζ14−ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ470000001−i3−1+i301−i31−i3−1+i3−1+i300ζ10−ζ46−ζ10+ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ31000000
χ1174441-21-21-20000000200-1-1−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i30000000−1−i3001+i321+i32−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i30000000−1+i3001−i321−i32-4-4-4-12-12-120000000-200112+2i32+2i32+2i31+i32−1−i31+i32−1−i31+i32−1−i300000001+i300−1−i32−1−i322−2i32−2i32−2i31−i32−1+i31−i32−1+i31−i32−1+i300000001−i300−1+i32−1+i32
χ1184441-21-21-20000000-20011−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i300000001+i300−1−i32−1−i32−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i300000001−i300−1+i32−1+i32-4-4-4-12-12-120000000200-1-12+2i32+2i32+2i31+i32−1−i31+i32−1−i31+i32−1−i30000000−1−i3001+i321+i322−2i32−2i32−2i31−i32−1+i31−i32−1+i31−i32−1+i30000000−1+i3001−i321−i32
χ119444-21-21-2100000020-1-100−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32000000−1−i301+i321+i3200−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32000000−1+i301−i321−i3200-4-4-42-12-12-1000000-2011002+2i32+2i32+2i3−1−i31+i32−1−i31+i32−1−i31+i320000001+i30−1−i32−1−i32002−2i32−2i32−2i3−1+i31−i32−1+i31−i32−1+i31−i320000001−i30−1+i32−1+i3200
χ120444-21-21-21000000-201100−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i320000001+i30−1−i32−1−i3200−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i320000001−i30−1+i32−1+i3200-4-4-42-12-12-100000020-1-1002+2i32+2i32+2i3−1−i31+i32−1−i31+i32−1−i31+i32000000−1−i301+i321+i32002−2i32−2i32−2i3−1+i31−i32−1+i31−i32−1+i31−i32000000−1+i301−i321−i3200
χ12144-41-21-2-120000000000−i3i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i30000000000−3+i323−i32−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i300000000003+i32−3−i32-4-44-12-121-20000000000i3−i32+2i32+2i3−2−2i31+i32−1−i31+i32−1−i3−1−i321+i300000000003−i32−3+i322−2i32−2i3−2+2i31−i32−1+i31−i32−1+i3−1+i321−i30000000000−3−i323+i32
χ12244-41-21-2-120000000000i3−i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i300000000003−i32−3+i32−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i30000000000−3−i323+i32-4-44-12-121-20000000000−i3i32+2i32+2i3−2−2i31+i32−1−i31+i32−1−i3−1−i321+i30000000000−3+i323−i322−2i32−2i3−2+2i31−i32−1+i31−i32−1+i3−1+i321−i300000000003+i32−3−i32
χ12344-4-21-212-100000000−i3i300−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i3200000000−3+i323−i3200−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i32000000003+i32−3−i3200-4-442-12-1-2100000000i3−i3002+2i32+2i3−2−2i3−1−i31+i32−1−i31+i321+i3−1−i32000000003−i32−3+i32002−2i32−2i3−2+2i3−1+i31−i32−1+i31−i321−i3−1+i3200000000−3−i323+i3200
χ12444-4-21-212-100000000i3−i300−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i32000000003−i32−3+i3200−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i3200000000−3−i323+i3200-4-442-12-1-2100000000−i3i3002+2i32+2i3−2−2i3−1−i31+i32−1−i31+i321+i3−1−i3200000000−3+i323−i32002−2i32−2i3−2+2i3−1+i31−i32−1+i31−i321−i3−1+i32000000003+i32−3−i3200
χ1258-802-4-2400000000000000−4−4i34+4i30−1−i32+2i31+i3−2−2i300000000000000−4+4i34−4i30−1+i32−2i31−i3−2+2i300000000000000-880-242-4000000000000004+4i3−4−4i301+i3−2−2i3−1−i32+2i3000000000000004−4i3−4+4i301−i3−2+2i3−1+i32−2i300000000000000
χ1268-80-424-200000000000000−4−4i34+4i302+2i3−1−i3−2−2i31+i300000000000000−4+4i34−4i302−2i3−1+i3−2+2i31−i300000000000000-8804-2-42000000000000004+4i3−4−4i30−2−2i31+i32+2i3−1−i3000000000000004−4i3−4+4i30−2+2i31−i32−2i3−1+i300000000000000

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