Finite Group Databasebeta

← Group #13157858

Character table — Group #13157858

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222222222444444444444444444444444444412121212121212121212121224242424242472721111222222222222224444444444444444444444444444121212121212121212121212242424242424727211112222222222222244444444444444444444444444441212121212121212121212122424242424247272
order1222334466666612121212366688121212121212242424242424242424242424242424244488121212122424242444121212122436663312126666661212121236662424121212121212242424242424242424242424242424241212242412121212242424241212121212126123666331212666666121212123666242412121212121224242424242424242424242424242424121224241212121224242424121212121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-11
χ71111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-111-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-111-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-111-11
χ81111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-11-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-11-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-11-1
χ9222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002-20022-2-2000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002-20022-2-2000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002-20022-2-2000000000000
χ10222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2200-2-222000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2200-2-222000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2200-2-222000000000000
χ1122222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ1222222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000022222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000022222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ1322222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122-2-2-1-1-1-111110000000022222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122-2-2-1-1-1-111110000000022222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122-2-2-1-1-1-1111100000000
χ1422222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2221111-1-1-1-10000000022222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2221111-1-1-1-10000000022222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2221111-1-1-1-100000000
χ1522222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−32-200-1-11133−3−30000000022222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−32-200-1-11133−3−30000000022222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−32-200-1-11133−3−300000000
χ1622222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-220011-1-1−3−3330000000022222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-220011-1-1−3−3330000000022222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-220011-1-1−3−33300000000
χ1722222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−333332-200-1-111−3−3330000000022222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−333332-200-1-111−3−3330000000022222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−333332-200-1-111−3−33300000000
χ1822222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-220011-1-133−3−30000000022222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-220011-1-133−3−30000000022222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-220011-1-133−3−300000000
χ192222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ202222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111002222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ212222-1222-1222-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000002-211-1-1002222-1222-1222-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000002-211-1-1002222-1222-1222-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-21111111111110000000000002-211-1-100
χ222222-1222-1222-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000000000000-22-1-111002222-1222-1222-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000000000000-22-1-111002222-1222-1222-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000000000000-22-1-11100
χ232-22-2222-2-22-2-2-2222-2-22-2-2200-2-2-22220000000000000000002i−2i00002i−2i2i−2i000000002-22-2222-2-22-2-2-2222-2-22-2-2200-2-2-22220000000000000000002i−2i00002i−2i2i−2i000000002-22-2222-2-22-2-2-2222-2-22-2-2200-2-2-22220000000000000000002i−2i00002i−2i2i−2i00000000
χ242-22-2222-2-22-2-2-2222-2-22-2-2200-2-2-2222000000000000000000−2i2i0000−2i2i−2i2i000000002-22-2222-2-22-2-2-2222-2-22-2-2200-2-2-2222000000000000000000−2i2i0000−2i2i−2i2i000000002-22-2222-2-22-2-2-2222-2-22-2-2200-2-2-2222000000000000000000−2i2i0000−2i2i−2i2i00000000
χ252-22-222-22-22-2-2-22-2-2222-2-222i−2i222-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000002-22-222-22-22-2-2-22-2-2222-2-222i−2i222-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000002-22-222-22-22-2-2-22-2-2222-2-222i−2i222-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000
χ262-22-222-22-22-2-2-22-2-2222-2-22−2i2i222-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000002-22-222-22-22-2-2-22-2-2222-2-22−2i2i222-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000002-22-222-22-22-2-2-22-2-2222-2-22−2i2i222-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ272-22-22-12-2-2-111-22-1-111-111-100-2112-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i3002i−2i3−33−3−ii−ii000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i3002i−2i3−33−3−ii−ii000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i3002i−2i3−33−3−ii−ii00000000
χ282-22-22-12-2-2-111-22-1-111-111-100-2112-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300−2i2i−33−33i−ii−i000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300−2i2i−33−33i−ii−i000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300−2i2i−33−33i−ii−i00000000
χ292-22-22-12-2-2-111-22-1-111-111-100-2112-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i3002i−2i−33−33−ii−ii000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i3002i−2i−33−33−ii−ii000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i3002i−2i−33−33−ii−ii00000000
χ302-22-22-12-2-2-111-22-1-111-111-100-2112-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300−2i2i3−33−3i−ii−i000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300−2i2i3−33−3i−ii−i000000002-22-22-12-2-2-111-22-1-111-111-100-2112-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300−2i2i3−33−3i−ii−i00000000
χ312-22-22-1-22-2-111-2211-1-1-111-12i−2i2-1-1-211−ii−ii2i2i−2i−2i−i−iii−i−iii00003−3−33i3−i3−i3i3000000002-22-22-1-22-2-111-2211-1-1-111-12i−2i2-1-1-211−ii−ii2i2i−2i−2i−i−iii−i−iii00003−3−33i3−i3−i3i3000000002-22-22-1-22-2-111-2211-1-1-111-12i−2i2-1-1-211−ii−ii2i2i−2i−2i−i−iii−i−iii00003−3−33i3−i3−i3i300000000
χ322-22-22-1-22-2-111-2211-1-1-111-12i−2i2-1-1-211−ii−ii2i2i−2i−2i−i−iii−i−iii0000−333−3−i3i3i3−i3000000002-22-22-1-22-2-111-2211-1-1-111-12i−2i2-1-1-211−ii−ii2i2i−2i−2i−i−iii−i−iii0000−333−3−i3i3i3−i3000000002-22-22-1-22-2-111-2211-1-1-111-12i−2i2-1-1-211−ii−ii2i2i−2i−2i−i−iii−i−iii0000−333−3−i3i3i3−i300000000
χ332-22-22-1-22-2-111-2211-1-1-111-1−2i2i2-1-1-211i−ii−i−2i−2i2i2iii−i−iii−i−i00003−3−33−i3i3i3−i3000000002-22-22-1-22-2-111-2211-1-1-111-1−2i2i2-1-1-211i−ii−i−2i−2i2i2iii−i−iii−i−i00003−3−33−i3i3i3−i3000000002-22-22-1-22-2-111-2211-1-1-111-1−2i2i2-1-1-211i−ii−i−2i−2i2i2iii−i−iii−i−i00003−3−33−i3i3i3−i300000000
χ342-22-22-1-22-2-111-2211-1-1-111-1−2i2i2-1-1-211i−ii−i−2i−2i2i2iii−i−iii−i−i0000−333−3i3−i3−i3i3000000002-22-22-1-22-2-111-2211-1-1-111-1−2i2i2-1-1-211i−ii−i−2i−2i2i2iii−i−iii−i−i0000−333−3i3−i3−i3i3000000002-22-22-1-22-2-111-2211-1-1-111-1−2i2i2-1-1-211i−ii−i−2i−2i2i2iii−i−iii−i−i0000−333−3i3−i3−i3i300000000
χ352-22-2-12-2212-2-21-1-2-222-111-12i−2i-1-1-11112i−2i2i−2i−i−iii−i−iii−i−iii000000000000003−3−i3i3002-22-2-12-2212-2-21-1-2-222-111-12i−2i-1-1-11112i−2i2i−2i−i−iii−i−iii−i−iii000000000000003−3−i3i3002-22-2-12-2212-2-21-1-2-222-111-12i−2i-1-1-11112i−2i2i−2i−i−iii−i−iii−i−iii000000000000003−3−i3i300
χ362-22-2-12-2212-2-21-1-2-222-111-12i−2i-1-1-11112i−2i2i−2i−i−iii−i−iii−i−iii00000000000000−33i3−i3002-22-2-12-2212-2-21-1-2-222-111-12i−2i-1-1-11112i−2i2i−2i−i−iii−i−iii−i−iii00000000000000−33i3−i3002-22-2-12-2212-2-21-1-2-222-111-12i−2i-1-1-11112i−2i2i−2i−i−iii−i−iii−i−iii00000000000000−33i3−i300
χ372-22-2-12-2212-2-21-1-2-222-111-1−2i2i-1-1-1111−2i2i−2i2iii−i−iii−i−iii−i−i000000000000003−3i3−i3002-22-2-12-2212-2-21-1-2-222-111-1−2i2i-1-1-1111−2i2i−2i2iii−i−iii−i−iii−i−i000000000000003−3i3−i3002-22-2-12-2212-2-21-1-2-222-111-1−2i2i-1-1-1111−2i2i−2i2iii−i−iii−i−iii−i−i000000000000003−3i3−i300
χ382-22-2-12-2212-2-21-1-2-222-111-1−2i2i-1-1-1111−2i2i−2i2iii−i−iii−i−iii−i−i00000000000000−33−i3i3002-22-2-12-2212-2-21-1-2-222-111-1−2i2i-1-1-1111−2i2i−2i2iii−i−iii−i−iii−i−i00000000000000−33−i3i3002-22-2-12-2212-2-21-1-2-222-111-1−2i2i-1-1-1111−2i2i−2i2iii−i−iii−i−iii−i−i00000000000000−33−i3i300
χ394444-24-4-4-2444-2-2-4-4-4-4-2-2-2-2002222220000000000000000000000000000000000004444-24-4-4-2444-2-2-4-4-4-4-2-2-2-2002222220000000000000000000000000000000000004444-24-4-4-2444-2-2-4-4-4-4-2-2-2-200222222000000000000000000000000000000000000
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χ8222222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-220011-1-1−3−33300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ221−i3−1+i300−1+i32−1+i321−i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ221+i3−1−i300−1−i32−1−i321+i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000
χ8322222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−333332-200-1-111−3−33300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−1+i31−i3001−i321−i32−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−1−i31+i3001+i321+i32−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000
χ8422222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-220011-1-133−3−300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ221−i3−1+i300−1+i32−1+i321−i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ221+i3−1−i300−1−i32−1−i321+i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000
χ852222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200
χ862222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200
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χ1381111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-11−1−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−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+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ1391111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-111-11−1−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−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+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ1401111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-11-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ141222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002-20022-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i30000000000000000−1−i31+i300−1−i3−1−i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i30000000000000000−1+i31−i300−1+i3−1+i31−i31−i3000000000000
χ142222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2200-2-222000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i31+i31+i31+i31+i300000000000000001+i3−1−i3001+i31+i3−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i31−i31−i31−i31−i300000000000000001−i3−1+i3001−i31−i3−1+i3−1+i3000000000000
χ14322222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ14422222-1222-1-1-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ14522222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ14622222-1222-1-1-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2221111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i31+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i31−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ14722222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−32-200-1-11133−3−300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−1−i31+i3001+i321+i32−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−1+i31−i3001−i321−i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000
χ14822222-1-2-22-1-1-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-220011-1-1−3−33300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ221+i3−1−i300−1−i32−1−i321+i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ221−i3−1+i300−1+i32−1+i321−i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000
χ14922222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−333332-200-1-111−3−33300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−1−i31+i3001+i321+i32−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−1+i31−i3001−i321−i32−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000
χ15022222-1-2-22-1-1-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-220011-1-133−3−300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3−1−i32−1−i321+i3−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ221+i3−1−i300−1−i32−1−i321+i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3−1+i32−1+i321−i3−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ221−i3−1+i300−1+i32−1+i321−i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000
χ1512222-1222-1222-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i3200
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χ1984-4-44-2-200222-2-22−232323−231-11-1000−3303−30000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i3−1−i3−1−i31+i31+i3−1−i3−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ22−1−i321+i32−1−i321+i32000−2ζ14−ζ222ζ14+ζ2202ζ14+ζ22−2ζ14−ζ2200002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−ζ5−2ζ7+ζ13−ζ23ζ5+2ζ7−ζ13+ζ23ζ5+2ζ7−ζ13+ζ23−ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13−ζ23ζ5−ζ7+2ζ13+ζ23ζ5−ζ7+2ζ13+ζ23−ζ5+ζ7−2ζ13−ζ2300000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i3−1+i3−1+i31−i31−i3−1+i32ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ22−1+i321−i32−1+i321−i32000ζ14+2ζ22−ζ14−2ζ220−ζ14−2ζ22ζ14+2ζ220000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ232ζ5+ζ7+ζ13−ζ23−2ζ5−ζ7−ζ13+ζ23−2ζ5−ζ7−ζ13+ζ232ζ5+ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+2ζ23ζ5−ζ7−ζ13−2ζ23ζ5−ζ7−ζ13−2ζ23−ζ5+ζ7+ζ13+2ζ2300000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.