Finite Group Databasebeta

← Group #13157566

Character table — Group #13157566

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222222224444444444666666668888888888999912121212121212121212121218182424242436361111222222222244444444446666666688888888889999121212121212121212121212181824242424363611112222222222444444444466666666888888888899991212121212121212121212121818242424243636
order1222334466666634466612121212888888881212121212121212121222224444242424242424242444121212124436663312126666663121266612121212242424242424242412121212121212121212666612121212242424242424242412121212121212123666331212666666312126661212121224242424242424241212121212121212121266661212121224242424242424241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ5111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111111111111111111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111111111111111111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ8111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
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χ101-11-111-11-1-111-1-11i−i-11-1-1-11111-1-1-1-111ii−i−i1-1ii−i−i-1-111i−i−ii11-1-1-1-111-11i−i−ii−ii1-11-111-11-1-111-1-11i−i-11-1-1-11111-1-1-1-111ii−i−i1-1ii−i−i-1-111i−i−ii11-1-1-1-111-11i−i−ii−ii1-11-111-11-1-111-1-11i−i-11-1-1-11111-1-1-1-111ii−i−i1-1ii−i−i-1-111i−i−ii11-1-1-1-111-11i−i−ii−ii
χ111-11-111-11-1-111-1-11i−i-11-1-1-111-1-11111-1-1ii−i−i1-1ii−i−i-1-111−iii−i-1-11111-1-1-11−iii−i−ii1-11-111-11-1-111-1-11i−i-11-1-1-111-1-11111-1-1ii−i−i1-1ii−i−i-1-111−iii−i-1-11111-1-1-11−iii−i−ii1-11-111-11-1-111-1-11i−i-11-1-1-111-1-11111-1-1ii−i−i1-1ii−i−i-1-111−iii−i-1-11111-1-1-11−iii−i−ii
χ121-11-111-11-1-111-1-11i−i-11-1-1-111-1-111-1-111ii−i−i1-1ii−i−i11-1-1−ii−ii-1-111-1-1111-1−ii−iii−i1-11-111-11-1-111-1-11i−i-11-1-1-111-1-111-1-111ii−i−i1-1ii−i−i11-1-1−ii−ii-1-111-1-1111-1−ii−iii−i1-11-111-11-1-111-1-11i−i-11-1-1-111-1-111-1-111ii−i−i1-1ii−i−i11-1-1−ii−ii-1-111-1-1111-1−ii−iii−i
χ131-11-111-11-1-111-1-11−ii-11-1-1-11111-1-111-1-1−i−iii1-1−i−iii11-1-1−ii−ii11-1-111-1-11-1−ii−ii−ii1-11-111-11-1-111-1-11−ii-11-1-1-11111-1-111-1-1−i−iii1-1−i−iii11-1-1−ii−ii11-1-111-1-11-1−ii−ii−ii1-11-111-11-1-111-1-11−ii-11-1-1-11111-1-111-1-1−i−iii1-1−i−iii11-1-1−ii−ii11-1-111-1-11-1−ii−ii−ii
χ141-11-111-11-1-111-1-11−ii-11-1-1-11111-1-1-1-111−i−iii1-1−i−iii-1-111−iii−i11-1-1-1-111-11−iii−ii−i1-11-111-11-1-111-1-11−ii-11-1-1-11111-1-1-1-111−i−iii1-1−i−iii-1-111−iii−i11-1-1-1-111-11−iii−ii−i1-11-111-11-1-111-1-11−ii-11-1-1-11111-1-1-1-111−i−iii1-1−i−iii-1-111−iii−i11-1-1-1-111-11−iii−ii−i
χ151-11-111-11-1-111-1-11−ii-11-1-1-111-1-11111-1-1−i−iii1-1−i−iii-1-111i−i−ii-1-11111-1-1-11i−i−iii−i1-11-111-11-1-111-1-11−ii-11-1-1-111-1-11111-1-1−i−iii1-1−i−iii-1-111i−i−ii-1-11111-1-1-11i−i−iii−i1-11-111-11-1-111-1-11−ii-11-1-1-111-1-11111-1-1−i−iii1-1−i−iii-1-111i−i−ii-1-11111-1-1-11i−i−iii−i
χ161-11-111-11-1-111-1-11−ii-11-1-1-111-1-111-1-111−i−iii1-1−i−iii11-1-1i−ii−i-1-111-1-1111-1i−ii−i−ii1-11-111-11-1-111-1-11−ii-11-1-1-111-1-111-1-111−i−iii1-1−i−iii11-1-1i−ii−i-1-111-1-1111-1i−ii−i−ii1-11-111-11-1-111-1-11−ii-11-1-1-111-1-111-1-111−i−iii1-1−i−iii11-1-1i−ii−i-1-111-1-1111-1i−ii−i−ii
χ17222222-2-2222222200222-2-2-2-2000000000000-2-200002222000000000000-2-2000000222222-2-2222222200222-2-2-2-2000000000000-2-200002222000000000000-2-2000000222222-2-2222222200222-2-2-2-2000000000000-2-200002222000000000000-2-2000000
χ18222222-2-2222222200222-2-2-2-2000000000000-2-20000-2-2-2-200000000000022000000222222-2-2222222200222-2-2-2-2000000000000-2-20000-2-2-2-200000000000022000000222222-2-2222222200222-2-2-2-2000000000000-2-20000-2-2-2-200000000000022000000
χ1922222-1222-12-12-1-122-1-1-12-12-1000022222-12-1-1-1-1-1-1-1000000220000-1-1-1-10000-1-10022222-1222-12-12-1-122-1-1-12-12-1000022222-12-1-1-1-1-1-1-1000000220000-1-1-1-10000-1-10022222-1222-12-12-1-122-1-1-12-12-1000022222-12-1-1-1-1-1-1-1000000220000-1-1-1-10000-1-100
χ2022222-1222-12-12-1-122-1-1-12-12-10000-2-2-2-22-12-1-1-1-1-1-1-1000000-2-2000011110000110022222-1222-12-12-1-122-1-1-12-12-10000-2-2-2-22-12-1-1-1-1-1-1-1000000-2-2000011110000110022222-1222-12-12-1-122-1-1-12-12-10000-2-2-2-22-12-1-1-1-1-1-1-1000000-2-20000111100001100
χ2122222-1222-12-12-1-1-2-2-1-1-12-12-100002222-21-21-1-11111000000-2-20000-1-1-1-10000110022222-1222-12-12-1-1-2-2-1-1-12-12-100002222-21-21-1-11111000000-2-20000-1-1-1-10000110022222-1222-12-12-1-1-2-2-1-1-12-12-100002222-21-21-1-11111000000-2-20000-1-1-1-100001100
χ2222222-1222-12-12-1-1-2-2-1-1-12-12-10000-2-2-2-2-21-21-1-1111100000022000011110000-1-10022222-1222-12-12-1-1-2-2-1-1-12-12-10000-2-2-2-2-21-21-1-1111100000022000011110000-1-10022222-1222-12-12-1-1-2-2-1-1-12-12-10000-2-2-2-2-21-21-1-1111100000022000011110000-1-100
χ232222-1222-12-12-12-122-1-1-1-12-1222220000-12-12-1-1-1-1-1-100002200-1-1-1-1000000-1-100002222-1222-12-12-12-122-1-1-1-12-1222220000-12-12-1-1-1-1-1-100002200-1-1-1-1000000-1-100002222-1222-12-12-12-122-1-1-1-12-1222220000-12-12-1-1-1-1-1-100002200-1-1-1-1000000-1-10000
χ242222-1222-12-12-12-122-1-1-1-12-12-2-2-2-20000-12-12-1-1-1-1-1-10000-2-20011110000001100002222-1222-12-12-12-122-1-1-1-12-12-2-2-2-20000-12-12-1-1-1-1-1-10000-2-20011110000001100002222-1222-12-12-12-122-1-1-1-12-12-2-2-2-20000-12-12-1-1-1-1-1-10000-2-2001111000000110000
χ252222-1222-12-12-12-1-2-2-1-1-1-12-12222200001-21-2-1-111110000-2-200-1-1-1-10000001100002222-1222-12-12-12-1-2-2-1-1-1-12-12222200001-21-2-1-111110000-2-200-1-1-1-10000001100002222-1222-12-12-12-1-2-2-1-1-1-12-12222200001-21-2-1-111110000-2-200-1-1-1-1000000110000
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χ2722-2-2220022-2-2-2-22002-2-200002−22−22−22−200000000002-22-200002−22−22−22−20000000022-2-2220022-2-2-2-22002-2-200002−22−22−22−200000000002-22-200002−22−22−22−20000000022-2-2220022-2-2-2-22002-2-200002−22−22−22−200000000002-22-200002−22−22−22−200000000
χ2822-2-2220022-2-2-2-22002-2-200002−22−2−22−220000000000-22-2200002−22−2−22−220000000022-2-2220022-2-2-2-22002-2-200002−22−2−22−220000000000-22-2200002−22−2−22−220000000022-2-2220022-2-2-2-22002-2-200002−22−2−22−220000000000-22-2200002−22−2−22−2200000000
χ2922-2-2220022-2-2-2-22002-2-20000−22−222−22−20000000000-22-220000−22−222−22−20000000022-2-2220022-2-2-2-22002-2-20000−22−222−22−20000000000-22-220000−22−222−22−20000000022-2-2220022-2-2-2-22002-2-20000−22−222−22−20000000000-22-220000−22−222−22−200000000
χ3022-2-2220022-2-2-2-22002-2-20000−22−22−22−2200000000002-22-20000−22−22−22−220000000022-2-2220022-2-2-2-22002-2-20000−22−22−22−2200000000002-22-20000−22−22−22−220000000022-2-2220022-2-2-2-22002-2-20000−22−22−22−2200000000002-22-20000−22−22−22−2200000000
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χ392-22-2-12-221-2-121-2-1−2i2i1-111-2-1222-2-20000i−2i−i2i-11ii−i−i0000−2i2i00-1-111000000i−i00002-22-2-12-221-2-121-2-1−2i2i1-111-2-1222-2-20000i−2i−i2i-11ii−i−i0000−2i2i00-1-111000000i−i00002-22-2-12-221-2-121-2-1−2i2i1-111-2-1222-2-20000i−2i−i2i-11ii−i−i0000−2i2i00-1-111000000i−i0000
χ402-22-2-12-221-2-121-2-1−2i2i1-111-2-12-2-2220000i−2i−i2i-11ii−i−i00002i−2i0011-1-1000000−ii00002-22-2-12-221-2-121-2-1−2i2i1-111-2-12-2-2220000i−2i−i2i-11ii−i−i00002i−2i0011-1-1000000−ii00002-22-2-12-221-2-121-2-1−2i2i1-111-2-12-2-2220000i−2i−i2i-11ii−i−i00002i−2i0011-1-1000000−ii0000
χ412-2-222200-2-2-2-222200-2-2200002−2−222−2−2200000000002-2-2200002−2−222−2−22000000002-2-222200-2-2-2-222200-2-2200002−2−222−2−2200000000002-2-2200002−2−222−2−22000000002-2-222200-2-2-2-222200-2-2200002−2−222−2−2200000000002-2-2200002−2−222−2−2200000000
χ422-2-222200-2-2-2-222200-2-2200002−2−22−222−20000000000-222-200002−2−22−222−2000000002-2-222200-2-2-2-222200-2-2200002−2−22−222−20000000000-222-200002−2−22−222−2000000002-2-222200-2-2-2-222200-2-2200002−2−22−222−20000000000-222-200002−2−22−222−200000000
χ432-2-222200-2-2-2-222200-2-220000−222−22−2−220000000000-222-20000−222−22−2−22000000002-2-222200-2-2-2-222200-2-220000−222−22−2−220000000000-222-20000−222−22−2−22000000002-2-222200-2-2-2-222200-2-220000−222−22−2−220000000000-222-20000−222−22−2−2200000000
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χ681111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1−1+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+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+i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+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−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
χ69111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−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+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+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ70111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111−1+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+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−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−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−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+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−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
χ71111111111111111-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1−1+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−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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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
χ72111111111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32
χ73111111111111111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−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−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
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χ139111111111111111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+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+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ1411-11-111-11-1-111-1-11i−i-11-1-1-11111-1-111-1-1ii−i−i1-1ii−i−i11-1-1i−ii−i11-1-111-1-11-1i−ii−ii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ1421-11-111-11-1-111-1-11i−i-11-1-1-11111-1-1-1-111ii−i−i1-1ii−i−i-1-111i−i−ii11-1-1-1-111-11i−i−ii−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ1431-11-111-11-1-111-1-11i−i-11-1-1-111-1-11111-1-1ii−i−i1-1ii−i−i-1-111−iii−i-1-11111-1-1-11−iii−i−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ1441-11-111-11-1-111-1-11i−i-11-1-1-111-1-111-1-111ii−i−i1-1ii−i−i11-1-1−ii−ii-1-111-1-1111-1−ii−iii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ221+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ141−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ1451-11-111-11-1-111-1-11−ii-11-1-1-11111-1-111-1-1−i−iii1-1−i−iii11-1-1−ii−ii11-1-111-1-11-1−ii−ii−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ1461-11-111-11-1-111-1-11−ii-11-1-1-11111-1-1-1-111−i−iii1-1−i−iii-1-111−iii−i11-1-1-1-111-11−iii−ii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ1471-11-111-11-1-111-1-11−ii-11-1-1-111-1-11111-1-1−i−iii1-1−i−iii-1-111i−i−ii-1-11111-1-1-11i−i−iii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ1481-11-111-11-1-111-1-11−ii-11-1-1-111-1-111-1-111−i−iii1-1−i−iii11-1-1i−ii−i-1-111-1-1111-1i−ii−i−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ221+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ141−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ149222222-2-2222222200222-2-2-2-2000000000000-2-200002222000000000000-2-2000000−1−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−i300−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000001+i31+i30000−1−i3−1−i3−1−i3−1−i30000000000001+i31+i3000000−1+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+i300−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000001−i31−i30000−1+i3−1+i3−1+i3−1+i30000000000001−i31−i3000000
χ150222222-2-2222222200222-2-2-2-2000000000000-2-20000-2-2-2-200000000000022000000−1−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−i300−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000001+i31+i300001+i31+i31+i31+i3000000000000−1−i3−1−i3000000−1+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+i300−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000001−i31−i300001−i31−i31−i31−i3000000000000−1+i3−1+i3000000
χ15122222-1222-12-12-1-122-1-1-12-12-1000022222-12-1-1-1-1-1-1-1000000220000-1-1-1-10000-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i32000000−1−i3−1−i300001+i321+i321+i321+i3200001+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i32000000−1+i3−1+i300001−i321−i321−i321−i3200001−i321−i3200
χ15222222-1222-12-12-1-122-1-1-12-12-10000-2-2-2-22-12-1-1-1-1-1-1-1000000-2-20000111100001100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i3200001+i31+i31+i31+i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i320000001+i31+i30000−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i3200001−i31−i31−i31−i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i320000001−i31−i30000−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i3200
χ15322222-1222-12-12-1-1-2-2-1-1-12-12-100002222-21-21-1-11111000000-2-20000-1-1-1-100001100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i320000−1−i3−1−i3−1−i3−1−i31+i3−1−i321+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i31+i300001+i321+i321+i321+i320000−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i320000−1+i3−1+i3−1+i3−1+i31−i3−1+i321−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i31−i300001−i321−i321−i321−i320000−1+i32−1+i3200
χ15422222-1222-12-12-1-1-2-2-1-1-12-12-10000-2-2-2-2-21-21-1-1111100000022000011110000-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i3200001+i31+i31+i31+i31+i3−1−i321+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i3200001+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i3200001−i31−i31−i31−i31−i3−1+i321−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i3200001−i321−i3200
χ1552222-1222-12-12-12-122-1-1-1-12-1222220000-12-12-1-1-1-1-1-100002200-1-1-1-1000000-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i320000001+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i320000001−i321−i320000
χ1562222-1222-12-12-12-122-1-1-1-12-12-2-2-2-20000-12-12-1-1-1-1-1-10000-2-2001111000000110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i31+i300001+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i31−i300001−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i320000
χ1572222-1222-12-12-12-1-2-2-1-1-1-12-12222200001-21-2-1-111110000-2-200-1-1-1-1000000110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i321+i3−1−i321+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i31+i3001+i321+i321+i321+i32000000−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i321−i3−1+i321−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i31−i3001−i321−i321−i321−i32000000−1+i32−1+i320000
χ1582222-1222-12-12-12-1-2-2-1-1-1-12-12-2-2-2-200001-21-2-1-11111000022001111000000-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i31+i30000−1−i321+i3−1−i321+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i300−1−i32−1−i32−1−i32−1−i320000001+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i31−i30000−1+i321−i3−1+i321−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i300−1+i32−1+i32−1+i32−1+i320000001−i321−i320000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.