Finite Group Databasebeta

← Group #13157591

Character table — Group #13157591

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111122222222223333444444444444446666666666888888881212121212121212121212121212181818182424363611112222222222333344444444444444666666666688888888121212121212121212121212121218181818242436361111222222222233334444444444444466666666668888888812121212121212121212121212121818181824243636
order12223344666666444434466612121212121212124488881212121212121212121212122244666612122424242488881212443666331212666666121212123121266612121212121212121212242424241212121212121212121212126612126666121224242424242424241212121236663312126666661212121231212666121212121212121212122424242412121212121212121212121266121266661212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111-1-111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111-1-111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111111111111-1-1-1-111111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111111111111-1-1-1-111111111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111111111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111111111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91-11-111-11-11-1-1-11ii−i−i1i−i-11-11-1ii−i−i1-1i−iii−i−iii−i−ii−i1-1ii−i−i1-11-111-1-1i−iii−i−i11-1-11-1i−i1-11-111-11-11-1-1-11ii−i−i1i−i-11-11-1ii−i−i1-1i−iii−i−iii−i−ii−i1-1ii−i−i1-11-111-1-1i−iii−i−i11-1-11-1i−i1-11-111-11-11-1-1-11ii−i−i1i−i-11-11-1ii−i−i1-1i−iii−i−iii−i−ii−i1-1ii−i−i1-11-111-1-1i−iii−i−i11-1-11-1i−i
χ101-11-111-11-11-1-1-11ii−i−i1i−i-11-11-1ii−i−i1-1i−i−i−iiiii−i−ii−i1-1ii−i−i1-1-1111-1-1i−i−i−iii-1-111-11−ii1-11-111-11-11-1-1-11ii−i−i1i−i-11-11-1ii−i−i1-1i−i−i−iiiii−i−ii−i1-1ii−i−i1-1-1111-1-1i−i−i−iii-1-111-11−ii1-11-111-11-11-1-1-11ii−i−i1i−i-11-11-1ii−i−i1-1i−i−i−iiiii−i−ii−i1-1ii−i−i1-1-1111-1-1i−i−i−iii-1-111-11−ii
χ111-11-111-11-11-1-1-11ii−i−i1−ii-11-11-1−i−iii1-1i−iii−i−iii−i−i−ii1-1−i−iii-11-11-1-111i−iii−i−i11-1-1-11−ii1-11-111-11-11-1-1-11ii−i−i1−ii-11-11-1−i−iii1-1i−iii−i−iii−i−i−ii1-1−i−iii-11-11-1-111i−iii−i−i11-1-1-11−ii1-11-111-11-11-1-1-11ii−i−i1−ii-11-11-1−i−iii1-1i−iii−i−iii−i−i−ii1-1−i−iii-11-11-1-111i−iii−i−i11-1-1-11−ii
χ121-11-111-11-11-1-1-11ii−i−i1−ii-11-11-1−i−iii1-1i−i−i−iiiii−i−i−ii1-1−i−iii-111-1-1-111i−i−i−iii-1-1111-1i−i1-11-111-11-11-1-1-11ii−i−i1−ii-11-11-1−i−iii1-1i−i−i−iiiii−i−i−ii1-1−i−iii-111-1-1-111i−i−i−iii-1-1111-1i−i1-11-111-11-11-1-1-11ii−i−i1−ii-11-11-1−i−iii1-1i−i−i−iiiii−i−i−ii1-1−i−iii-111-1-1-111i−i−i−iii-1-1111-1i−i
χ131-11-111-11-11-1-1-11−i−iii1i−i-11-11-1ii−i−i1-1−iiii−i−i−i−iiii−i1-1ii−i−i-111-1-1-111−iiii−i−i-1-1111-1−ii1-11-111-11-11-1-1-11−i−iii1i−i-11-11-1ii−i−i1-1−iiii−i−i−i−iiii−i1-1ii−i−i-111-1-1-111−iiii−i−i-1-1111-1−ii1-11-111-11-11-1-1-11−i−iii1i−i-11-11-1ii−i−i1-1−iiii−i−i−i−iiii−i1-1ii−i−i-111-1-1-111−iiii−i−i-1-1111-1−ii
χ141-11-111-11-11-1-1-11−i−iii1i−i-11-11-1ii−i−i1-1−ii−i−iii−i−iiii−i1-1ii−i−i-11-11-1-111−ii−i−iii11-1-1-11i−i1-11-111-11-11-1-1-11−i−iii1i−i-11-11-1ii−i−i1-1−ii−i−iii−i−iiii−i1-1ii−i−i-11-11-1-111−ii−i−iii11-1-1-11i−i1-11-111-11-11-1-1-11−i−iii1i−i-11-11-1ii−i−i1-1−ii−i−iii−i−iiii−i1-1ii−i−i-11-11-1-111−ii−i−iii11-1-1-11i−i
χ151-11-111-11-11-1-1-11−i−iii1−ii-11-11-1−i−iii1-1−iiii−i−i−i−iii−ii1-1−i−iii1-1-1111-1-1−iiii−i−i-1-111-11i−i1-11-111-11-11-1-1-11−i−iii1−ii-11-11-1−i−iii1-1−iiii−i−i−i−iii−ii1-1−i−iii1-1-1111-1-1−iiii−i−i-1-111-11i−i1-11-111-11-11-1-1-11−i−iii1−ii-11-11-1−i−iii1-1−iiii−i−i−i−iii−ii1-1−i−iii1-1-1111-1-1−iiii−i−i-1-111-11i−i
χ161-11-111-11-11-1-1-11−i−iii1−ii-11-11-1−i−iii1-1−ii−i−iii−i−iii−ii1-1−i−iii1-11-111-1-1−ii−i−iii11-1-11-1−ii1-11-111-11-11-1-1-11−i−iii1−ii-11-11-1−i−iii1-1−ii−i−iii−i−iii−ii1-1−i−iii1-11-111-1-1−ii−i−iii11-1-11-1−ii1-11-111-11-11-1-1-11−i−iii1−ii-11-11-1−i−iii1-1−ii−i−iii−i−iii−ii1-1−i−iii1-11-111-1-1−ii−i−iii11-1-11-1−ii
χ17222222-2-22222222222200222-2-20000-2-2-2-20000222200-2-2000000000000-2-2000000000000222222-2-22222222222200222-2-20000-2-2-2-20000222200-2-2000000000000-2-2000000000000222222-2-22222222222200222-2-20000-2-2-2-20000222200-2-2000000000000-2-2000000000000
χ18222222-2-2222222-2-2-2-2200222-2-20000-2-2220000-2-2-2-200-2-200000000000022000000000000222222-2-2222222-2-2-2-2200222-2-20000-2-2220000-2-2-2-200-2-200000000000022000000000000222222-2-2222222-2-2-2-2200222-2-20000-2-2220000-2-2-2-200-2-200000000000022000000000000
χ1922222-1222-12-1-122222-122-1-1-1-1-1-1-1-1-122220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-100000000000022222-1222-12-1-122222-122-1-1-1-1-1-1-1-1-122220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-100000000000022222-1222-12-1-122222-122-1-1-1-1-1-1-1-1-122220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000
χ2022222-1222-12-1-122222-1-2-2-1-1-1-1-1111122220000-1-1-1-1-2-2-1-11111-2-2001111-1-100000000000022222-1222-12-1-122222-1-2-2-1-1-1-1-1111122220000-1-1-1-1-2-2-1-11111-2-2001111-1-100000000000022222-1222-12-1-122222-1-2-2-1-1-1-1-1111122220000-1-1-1-1-2-2-1-11111-2-2001111-1-1000000000000
χ2122222-1222-12-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-20000111122-1-1-1-1-1-1-2-20011111100000000000022222-1222-12-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-20000111122-1-1-1-1-1-1-2-20011111100000000000022222-1222-12-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-20000111122-1-1-1-1-1-1-2-200111111000000000000
χ2222222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-1-1111122-2-200001111-2-2-1-111112200-1-1-1-11100000000000022222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-1-1111122-2-200001111-2-2-1-111112200-1-1-1-11100000000000022222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-1-1111122-2-200001111-2-2-1-111112200-1-1-1-111000000000000
χ2322222-1-2-22-12-1-122222-100-1-1-111−i3i3−i3i3-2-2-2-20000-1-1-1-10011−i3i3−i3i30000−i3i3−i3i31100000000000022222-1-2-22-12-1-122222-100-1-1-111−i3i3−i3i3-2-2-2-20000-1-1-1-10011−i3i3−i3i30000−i3i3−i3i31100000000000022222-1-2-22-12-1-122222-100-1-1-111−i3i3−i3i3-2-2-2-20000-1-1-1-10011−i3i3−i3i30000−i3i3−i3i311000000000000
χ2422222-1-2-22-12-1-122222-100-1-1-111i3−i3i3−i3-2-2-2-20000-1-1-1-10011i3−i3i3−i30000i3−i3i3−i31100000000000022222-1-2-22-12-1-122222-100-1-1-111i3−i3i3−i3-2-2-2-20000-1-1-1-10011i3−i3i3−i30000i3−i3i3−i31100000000000022222-1-2-22-12-1-122222-100-1-1-111i3−i3i3−i3-2-2-2-20000-1-1-1-10011i3−i3i3−i30000i3−i3i3−i311000000000000
χ2522222-1-2-22-12-1-12-2-2-2-2-100-1-1-111−i3i3−i3i3-2-222000011110011−i3i3−i3i30000i3−i3i3−i3-1-100000000000022222-1-2-22-12-1-12-2-2-2-2-100-1-1-111−i3i3−i3i3-2-222000011110011−i3i3−i3i30000i3−i3i3−i3-1-100000000000022222-1-2-22-12-1-12-2-2-2-2-100-1-1-111−i3i3−i3i3-2-222000011110011−i3i3−i3i30000i3−i3i3−i3-1-1000000000000
χ2622222-1-2-22-12-1-12-2-2-2-2-100-1-1-111i3−i3i3−i3-2-222000011110011i3−i3i3−i30000−i3i3−i3i3-1-100000000000022222-1-2-22-12-1-12-2-2-2-2-100-1-1-111i3−i3i3−i3-2-222000011110011i3−i3i3−i30000−i3i3−i3i3-1-100000000000022222-1-2-22-12-1-12-2-2-2-2-100-1-1-111i3−i3i3−i3-2-222000011110011i3−i3i3−i30000−i3i3−i3i3-1-1000000000000
χ272222-1222-12-122-10000-122-1-1-1222222-1-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-1002222-1222-12-122-10000-122-1-1-1222222-1-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-1002222-1222-12-122-10000-122-1-1-1222222-1-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100
χ282222-1222-12-122-10000-122-1-1-1222222-1-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-20000001111000011002222-1222-12-122-10000-122-1-1-1222222-1-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-20000001111000011002222-1222-12-122-10000-122-1-1-1222222-1-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-2000000111100001100
χ292222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-1002222000011-1-1111100-2-2000000-1-1-1-1000011002222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-1002222000011-1-1111100-2-2000000-1-1-1-1000011002222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-1002222000011-1-1111100-2-2000000-1-1-1-100001100
χ302222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-100-2-2-2-2000011-1-11111002200000011110000-1-1002222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-100-2-2-2-2000011-1-11111002200000011110000-1-1002222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-100-2-2-2-2000011-1-11111002200000011110000-1-100
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χ3422-2-22200-2-22-22-2-22-22200-2-220000000000i2−i2i2−i2-22-22000000000000000000i2−i2i2−i2−i2i2−i2i2000022-2-22200-2-22-22-2-22-22200-2-220000000000i2−i2i2−i2-22-22000000000000000000i2−i2i2−i2−i2i2−i2i2000022-2-22200-2-22-22-2-22-22200-2-220000000000i2−i2i2−i2-22-22000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ352-22-2222-2-22-2-2-222i2i−2i−2i200-22-2-220000-22−2i2i00002i2i−2i−2i00-22000000000000−2i2i0000000000002-22-2222-2-22-2-2-222i2i−2i−2i200-22-2-220000-22−2i2i00002i2i−2i−2i00-22000000000000−2i2i0000000000002-22-2222-2-22-2-2-222i2i−2i−2i200-22-2-220000-22−2i2i00002i2i−2i−2i00-22000000000000−2i2i000000000000
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χ9122222-1222-12-1-122222-122-1-1-1-1-1-1-1-1-122220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i321+i321+i32000000000000
χ9222222-1222-12-1-122222-1-2-2-1-1-1-1-1111122220000-1-1-1-1-2-2-1-11111-2-2001111-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000
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χ992222-1222-12-122-10000-122-1-1-1222222-1-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i3200001−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30000001−i321−i321−i321−i3200001−i321−i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i3200001+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30000001+i321+i321+i321+i3200001+i321+i3200
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χ15111111111111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111−1−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+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ15211111111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1−1−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−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ161222222-2-22222222222200222-2-20000-2-2-2-20000222200-2-2000000000000-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i31+i30000−1−i3−1−i3−1−i3−1−i3001+i31+i30000000000001+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+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i31−i30000−1+i3−1+i3−1+i3−1+i3001−i31−i30000000000001−i31−i3000000000000
χ162222222-2-2222222-2-2-2-2200222-2-20000-2-2220000-2-2-2-200-2-200000000000022000000000000−1−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−i300−1−i3−1−i3−1−i31+i31+i300001+i31+i3−1−i3−1−i300001+i31+i31+i31+i3001+i31+i3000000000000−1−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+i300−1+i3−1+i3−1+i31−i31−i300001−i31−i3−1+i3−1+i300001−i31−i31−i31−i3001−i31−i3000000000000−1+i3−1+i3000000000000
χ16322222-1222-12-1-122222-122-1-1-1-1-1-1-1-1-122220000-1-1-1-122-1-1-1-1-1-12200-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i321−i321−i32000000000000
χ16422222-1222-12-1-122222-1-2-2-1-1-1-1-1111122220000-1-1-1-1-2-2-1-11111-2-2001111-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000
χ16522222-1222-12-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-20000111122-1-1-1-1-1-1-2-200111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ16622222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-1-1111122-2-200001111-2-2-1-111112200-1-1-1-111000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i31+i321+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i30000−1−i32−1−i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i321+i321+i321+i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i31−i321−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i30000−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i321−i321−i321−i32−1+i32−1+i32000000000000
χ16722222-1-2-22-12-1-122222-100-1-1-111−i3i3−i3i3-2-2-2-20000-1-1-1-10011−i3i3−i3i30000−i3i3−i3i311000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32001+i321+i321+i32−1−i32−1−i32−3+i323−i32−3+i323−i321+i31+i31+i31+i300001+i321+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i320000−3+i323−i32−3+i323−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32001−i321−i321−i32−1+i32−1+i323+i32−3−i323+i32−3−i321−i31−i31−i31−i300001−i321−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i3200003+i32−3−i323+i32−3−i32−1+i32−1+i32000000000000
χ16822222-1-2-22-12-1-122222-100-1-1-111i3−i3i3−i3-2-2-2-20000-1-1-1-10011i3−i3i3−i30000i3−i3i3−i311000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32001+i321+i321+i32−1−i32−1−i323−i32−3+i323−i32−3+i321+i31+i31+i31+i300001+i321+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i3200003−i32−3+i323−i32−3+i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32001−i321−i321−i32−1+i32−1+i32−3−i323+i32−3−i323+i321−i31−i31−i31−i300001−i321−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i320000−3−i323+i32−3−i323+i32−1+i32−1+i32000000000000
χ16922222-1-2-22-12-1-12-2-2-2-2-100-1-1-111−i3i3−i3i3-2-222000011110011−i3i3−i3i30000i3−i3i3−i3-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i31+i32001+i321+i321+i32−1−i32−1−i32−3+i323−i32−3+i323−i321+i31+i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i3200−1−i32−1−i32−3+i323−i32−3+i323−i3200003−i32−3+i323−i32−3+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i31−i32001−i321−i321−i32−1+i32−1+i323+i32−3−i323+i32−3−i321−i31−i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i3200−1+i32−1+i323+i32−3−i323+i32−3−i320000−3−i323+i32−3−i323+i321−i321−i32000000000000
χ17022222-1-2-22-12-1-12-2-2-2-2-100-1-1-111i3−i3i3−i3-2-222000011110011i3−i3i3−i30000−i3i3−i3i3-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i31+i31+i31+i31+i32001+i321+i321+i32−1−i32−1−i323−i32−3+i323−i32−3+i321+i31+i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i3200−1−i32−1−i323−i32−3+i323−i32−3+i320000−3+i323−i32−3+i323−i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i31−i31−i31−i31−i32001−i321−i321−i32−1+i32−1+i32−3−i323+i32−3−i323+i321−i31−i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i3200−1+i32−1+i32−3−i323+i32−3−i323+i3200003+i32−3−i323+i32−3−i321−i321−i32000000000000
χ1712222-1222-12-122-10000-122-1-1-1222222-1-10022220000-1-1-1-1-1-1-1-10022000000-1-1-1-10000-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i3200001+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i3200−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i30000001+i321+i321+i321+i3200001+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i3200001−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i3200−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i30000001−i321−i321−i321−i3200001−i321−i3200
χ1722222-1222-12-122-10000-122-1-1-1222222-1-100-2-2-2-20000-1-1-1-1-1-1-1-100-2-2000000111100001100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i3200001+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32001+i31+i31+i31+i300001+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i3000000−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i3200001−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32001−i31−i31−i31−i300001−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i3000000−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i3200
χ1732222-1222-12-122-10000-1-2-2-1-1-122-2-2-2-2-1-1002222000011-1-1111100-2-2000000-1-1-1-100001100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i3200001+i321+i31+i31+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i3200−1−i3−1−i3−1−i3−1−i30000−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30000001+i321+i321+i321+i320000−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i3200001−i321−i31−i31−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i3200−1+i3−1+i3−1+i3−1+i30000−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30000001−i321−i321−i321−i320000−1+i32−1+i3200
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.