Finite Group Databasebeta

← Group #11797805

Character table — Group #11797805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424
order12223444444666888812121212881212121224242424242424242244666612121212161616161616161622443666312121212121266624242424121212122424121212122424242424242424661212666612121212484848484848484866121236663121212121212666242424241212121224241212121224242424242424246612126666121212124848484848484848661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ1011-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i-1-111−i−iii-11−ii11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i-1-111−i−iii-11−ii11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i-1-111−i−iii-11−ii
χ1111-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii
χ1211-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii-1-111−i−iii1-1i−i11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii-1-111−i−iii1-1i−i11-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii-1-111−i−iii1-1i−i
χ1311-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ1411-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii-1-111ii−i−i-11i−i11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii-1-111ii−i−i-11i−i11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii-1-111ii−i−i-11i−i
χ1511-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i
χ1611-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i-1-111ii−i−i1-1−ii11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i-1-111ii−i−i1-1−ii11-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i-1-111ii−i−i1-1−ii
χ1722222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-200000000000000000000000022222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-200000000000000000000000022222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2000000000000000000000000
χ182222222-2-2-2-22220000222200-2-2-2-2000000000000000000002−22−22−22−200002222222-2-2-2-22220000222200-2-2-2-2000000000000000000002−22−22−22−200002222222-2-2-2-22220000222200-2-2-2-2000000000000000000002−22−22−22−20000
χ192222222-2-2-2-22220000222200-2-2-2-200000000000000000000−22−22−22−2200002222222-2-2-2-22220000222200-2-2-2-200000000000000000000−22−22−22−2200002222222-2-2-2-22220000222200-2-2-2-200000000000000000000−22−22−22−220000
χ2022222-2-222-2-22220000-2-2-2-20022-2-2000000000000000000002−22−2−22−22000022222-2-222-2-22220000-2-2-2-20022-2-2000000000000000000002−22−2−22−22000022222-2-222-2-22220000-2-2-2-20022-2-2000000000000000000002−22−2−22−220000
χ2122222-2-222-2-22220000-2-2-2-20022-2-200000000000000000000−22−222−22−2000022222-2-222-2-22220000-2-2-2-20022-2-200000000000000000000−22−222−22−2000022222-2-222-2-22220000-2-2-2-20022-2-200000000000000000000−22−222−22−20000
χ2222222-2-2-2-222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000022222-2-2-2-222222-2-2-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000022222-2-2-2-222222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222000000000000000000000000
χ232222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ242222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000002222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000002222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ252222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i30000000000002222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i30000000000002222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000
χ262222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i30000000000002222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i30000000000002222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i3000000000000
χ272222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-1111122-2-2-1-1-1-111110000000000002222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-1111122-2-2-1-1-1-111110000000000002222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-1111122-2-2-1-1-1-11111000000000000
χ282222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-11111-2-2221111-1-1-1-10000000000002222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-11111-2-2221111-1-1-1-10000000000002222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000
χ292222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000002222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000002222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ302222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000002222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000002222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ3122-2-222i−2i2i−2i2-22-2-2-2-2222i2i−2i−2i−2i2i2i−2i2-2-2-222−2i−2i2i2i00000000000000000000000022-2-222i−2i2i−2i2-22-2-2-2-2222i2i−2i−2i−2i2i2i−2i2-2-2-222−2i−2i2i2i00000000000000000000000022-2-222i−2i2i−2i2-22-2-2-2-2222i2i−2i−2i−2i2i2i−2i2-2-2-222−2i−2i2i2i000000000000000000000000
χ3222-2-222i−2i−2i2i-222-2-200002i2i−2i−2i00−2i2i-22000000000000000000002−2−22i2−i2−i2i2000022-2-222i−2i−2i2i-222-2-200002i2i−2i−2i00−2i2i-22000000000000000000002−2−22i2−i2−i2i2000022-2-222i−2i−2i2i-222-2-200002i2i−2i−2i00−2i2i-22000000000000000000002−2−22i2−i2−i2i20000
χ3322-2-222i−2i−2i2i-222-2-200002i2i−2i−2i00−2i2i-2200000000000000000000−222−2−i2i2i2−i2000022-2-222i−2i−2i2i-222-2-200002i2i−2i−2i00−2i2i-2200000000000000000000−222−2−i2i2i2−i2000022-2-222i−2i−2i2i-222-2-200002i2i−2i−2i00−2i2i-2200000000000000000000−222−2−i2i2i2−i20000
χ3422-2-22−2i2i2i−2i-222-2-20000−2i−2i2i2i002i−2i-22000000000000000000002−2−22−i2i2i2−i2000022-2-22−2i2i2i−2i-222-2-20000−2i−2i2i2i002i−2i-22000000000000000000002−2−22−i2i2i2−i2000022-2-22−2i2i2i−2i-222-2-20000−2i−2i2i2i002i−2i-22000000000000000000002−2−22−i2i2i2−i20000
χ3522-2-22−2i2i2i−2i-222-2-20000−2i−2i2i2i002i−2i-2200000000000000000000−222−2i2−i2−i2i2000022-2-22−2i2i2i−2i-222-2-20000−2i−2i2i2i002i−2i-2200000000000000000000−222−2i2−i2−i2i2000022-2-22−2i2i2i−2i-222-2-20000−2i−2i2i2i002i−2i-2200000000000000000000−222−2i2−i2−i2i20000
χ3622-2-22−2i2i−2i2i2-22-2-2-2-222−2i−2i2i2i2i−2i−2i2i2-2-2-2222i2i−2i−2i00000000000000000000000022-2-22−2i2i−2i2i2-22-2-2-2-222−2i−2i2i2i2i−2i−2i2i2-2-2-2222i2i−2i−2i00000000000000000000000022-2-22−2i2i−2i2i2-22-2-2-2-222−2i−2i2i2i2i−2i−2i2i2-2-2-2222i2i−2i−2i000000000000000000000000
χ3722-2-2-12i−2i2i−2i2-2-11122-2-2−i−iii2i−2i−ii-11-1-111−i−iii2-22i−2i-1-111−i−iii00000000000022-2-2-12i−2i2i−2i2-2-11122-2-2−i−iii2i−2i−ii-11-1-111−i−iii2-22i−2i-1-111−i−iii00000000000022-2-2-12i−2i2i−2i2-2-11122-2-2−i−iii2i−2i−ii-11-1-111−i−iii2-22i−2i-1-111−i−iii000000000000
χ3822-2-2-12i−2i2i−2i2-2-11122-2-2−i−iii2i−2i−ii-11-1-111−i−iii-22−2i2i11-1-1ii−i−i00000000000022-2-2-12i−2i2i−2i2-2-11122-2-2−i−iii2i−2i−ii-11-1-111−i−iii-22−2i2i11-1-1ii−i−i00000000000022-2-2-12i−2i2i−2i2-2-11122-2-2−i−iii2i−2i−ii-11-1-111−i−iii-22−2i2i11-1-1ii−i−i000000000000
χ3922-2-2-12i−2i2i−2i2-2-111-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000−i3i3i3−i33−3−3300000000000022-2-2-12i−2i2i−2i2-2-111-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000−i3i3i3−i33−3−3300000000000022-2-2-12i−2i2i−2i2-2-111-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000−i3i3i3−i33−3−33000000000000
χ4022-2-2-12i−2i2i−2i2-2-111-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000i3−i3−i3i3−333−300000000000022-2-2-12i−2i2i−2i2-2-111-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000i3−i3−i3i3−333−300000000000022-2-2-12i−2i2i−2i2-2-111-2-222−i−iii−2i2i−ii-1111-1-1ii−i−i0000i3−i3−i3i3−333−3000000000000
χ4122-2-2-1−2i2i−2i2i2-2-11122-2-2ii−i−i−2i2ii−i-11-1-111ii−i−i2-2−2i2i-1-111ii−i−i00000000000022-2-2-1−2i2i−2i2i2-2-11122-2-2ii−i−i−2i2ii−i-11-1-111ii−i−i2-2−2i2i-1-111ii−i−i00000000000022-2-2-1−2i2i−2i2i2-2-11122-2-2ii−i−i−2i2ii−i-11-1-111ii−i−i2-2−2i2i-1-111ii−i−i000000000000
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χ13111-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii−1−i32−1−i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14
χ13211-1-11i−ii−i1-11-1-111-1-1ii−i−ii−ii−i1-111-1-1ii−i−i-11−ii-1-111−i−iii-1-111−i−iii1-1i−i−1−i32−1−i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14
χ13311-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii−1−i32−1−i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14
χ13411-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii1-1−ii11-1-1−i−iii-1-111ii−i−i-11i−i−1−i32−1−i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14−ζ14
χ13511-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i−1−i32−1−i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14
χ13611-1-11−ii−ii1-11-1-111-1-1−i−iii−ii−ii1-111-1-1−i−iii-11i−i-1-111ii−i−i-1-111ii−i−i1-1−ii−1−i32−1−i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14
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χ1432222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ1442222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+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−i32000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−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+i32000000000000
χ1452222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000
χ1462222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000
χ1472222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-1111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i321+i321+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−i32000000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i321−i321−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+i32000000000000
χ1482222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i321+i321+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+i32000000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i321−i321−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−i32000000000000
χ1492222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000
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χ16222-2-2-1−2i2i−2i2i2-2-11122-2-2ii−i−i−2i2ii−i-11-1-111ii−i−i-222i−2i11-1-1−i−iii000000000000−1−i3−1−i31+i31+i31+i32−2ζ222ζ22−2ζ222ζ22−1−i31+i31+i32−1−i32−1−i32−1−i3−1−i31+i31+i3ζ22ζ22−ζ22−ζ22−2ζ222ζ22ζ22−ζ221+i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i3−1−i32ζ22−2ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22000000000000−1+i3−1+i31−i31−i31−i32−2ζ142ζ14−2ζ142ζ14−1+i31−i31−i32−1+i32−1+i32−1+i3−1+i31−i31−i3ζ14ζ14−ζ14−ζ14−2ζ142ζ14ζ14−ζ141−i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i3−1+i32ζ14−2ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14000000000000
χ16322-2-2-1−2i2i−2i2i2-2-111-2-222ii−i−i2i−2ii−i-1111-1-1−i−iii0000−i3i3i3−i3−333−3000000000000−1−i3−1−i31+i31+i31+i32−2ζ222ζ22−2ζ222ζ22−1−i31+i31+i32−1−i32−1−i321+i31+i3−1−i3−1−i3ζ22ζ22−ζ22−ζ222ζ22−2ζ22ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ220000−3+i323−i323−i32−3+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000000000−1+i3−1+i31−i31−i31−i32−2ζ142ζ14−2ζ142ζ14−1+i31−i31−i32−1+i32−1+i321−i31−i3−1+i3−1+i3ζ14ζ14−ζ14−ζ142ζ14−2ζ14ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ1400003+i32−3−i32−3−i323+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000
χ16422-2-2-1−2i2i−2i2i2-2-111-2-222ii−i−i2i−2ii−i-1111-1-1−i−iii0000i3−i3−i3i33−3−33000000000000−1−i3−1−i31+i31+i31+i32−2ζ222ζ22−2ζ222ζ22−1−i31+i31+i32−1−i32−1−i321+i31+i3−1−i3−1−i3ζ22ζ22−ζ22−ζ222ζ22−2ζ22ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ2200003−i32−3+i32−3+i323−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000000000−1+i3−1+i31−i31−i31−i32−2ζ142ζ14−2ζ142ζ14−1+i31−i31−i32−1+i32−1+i321−i31−i3−1+i3−1+i3ζ14ζ14−ζ14−ζ142ζ14−2ζ14ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ140000−3−i323+i323+i32−3−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ1654444-244-4-4-4-4-2-2-20000-2-2-2-200222200000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−2−2i3−2−2i32+2i32+2i32+2i32+2i31+i31+i31+i300001+i31+i31+i31+i300−1−i3−1−i3−1−i3−1−i300000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−2+2i3−2+2i32−2i32−2i32−2i32−2i31−i31−i31−i300001−i31−i31−i31−i300−1+i3−1+i3−1+i3−1+i300000000000000000000000000000000
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χ16844-4-4-2−4i4i4i−4i-44-22200002i2i−2i−2i00−2i2i2-200000000000000000000000000000000−2−2i3−2−2i32+2i32+2i31+i3−4ζ224ζ224ζ22−4ζ222+2i3−2−2i31+i3−1−i3−1−i300002ζ222ζ22−2ζ22−2ζ2200−2ζ222ζ22−1−i31+i300000000000000000000000000000000−2+2i3−2+2i32−2i32−2i31−i3−4ζ144ζ144ζ14−4ζ142−2i3−2+2i31−i3−1+i3−1+i300002ζ142ζ14−2ζ14−2ζ1400−2ζ142ζ14−1+i31−i300000000000000000000000000000000
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χ1714-44-4-200000022-222−2222−22−2i32i3−2i32i3000000−22−22i6−i6i6−i6000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3000000−1−i3−1−i31+i3−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−3+i33−i3−3+i33−i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3000000−1+i3−1+i31−i32ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ233+i3−3−i33+i3−3−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23000000000000000000000000
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χ1764-4-444000000-44-4−222222−220000000000−222222−220000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i30000002+2i3−2−2i32+2i32ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ1300000000002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ130000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i30000002−2i3−2+2i32−2i3−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ230000000000−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ230000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.