Finite Group Databasebeta

← Group #11796733

Character table — Group #11796733

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424111122222222222222222244444444444444888888888888121212121212121224242424
order122222344446666666888888121212122424242424242424444412121212121212121616161616161616444436666631212121266666662424242424241212121224242424242424241212121212121212121212124848484848484848121212123666663121212126666666242424242424121212122424242424242424121212121212121212121212484848484848484812121212
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
χ51111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ1011-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ1111-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111ii−i−iii−i−i−ii−ii11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111ii−i−iii−i−i−ii−ii11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111ii−i−iii−i−i−ii−ii
χ1211-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111−i−iii−i−iiii−ii−i11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111−i−iii−i−iiii−ii−i11-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111−i−iii−i−iiii−ii−i
χ1311-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ1411-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111−i−iiiii−i−i−iii−i11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111−i−iiiii−i−i−iii−i11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ1511-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1ii−i−i−i−iii−iii−i11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1ii−i−i−i−iii−iii−i11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1ii−i−i−i−iii−iii−i
χ1611-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii11-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000
χ182222222-2-2-2-22222222000000-2-2-2-2000000000000000000002−22−22−22−200002222222-2-2-2-22222222000000-2-2-2-2000000000000000000002−22−22−22−200002222222-2-2-2-22222222000000-2-2-2-2000000000000000000002−22−22−22−20000
χ192222222-2-2-2-22222222000000-2-2-2-200000000000000000000−22−22−22−2200002222222-2-2-2-22222222000000-2-2-2-200000000000000000000−22−22−22−2200002222222-2-2-2-22222222000000-2-2-2-200000000000000000000−22−22−22−220000
χ20222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ21222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000
χ23222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i3000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i3000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000i3−i3i3−i3i3−i3i3−i3000000000000
χ242222-2-222-2-2222-2-2-2-22-2-2-2-2222-2-22-2-2-2-222220000000000000000000000002222-2-222-2-2222-2-2-2-22-2-2-2-2222-2-22-2-2-2-222220000000000000000000000002222-2-222-2-2222-2-2-2-22-2-2-2-2222-2-22-2-2-2-22222000000000000000000000000
χ252222-2-22-222-222-2-2-2-22000000-222-2000000000000000000002−22−2−22−2200002222-2-22-222-222-2-2-2-22000000-222-2000000000000000000002−22−2−22−2200002222-2-22-222-222-2-2-2-22000000-222-2000000000000000000002−22−2−22−220000
χ262222-2-22-222-222-2-2-2-22000000-222-200000000000000000000−22−222−22−200002222-2-22-222-222-2-2-2-22000000-222-200000000000000000000−22−222−22−200002222-2-22-222-222-2-2-2-22000000-222-200000000000000000000−22−222−22−20000
χ272222-2-2-12-2-22-1-11111-12222-2-2-111-1-1-1-1-1111122-2-2-1-1-1-111110000000000002222-2-2-12-2-22-1-11111-12222-2-2-111-1-1-1-1-1111122-2-2-1-1-1-111110000000000002222-2-2-12-2-22-1-11111-12222-2-2-111-1-1-1-1-1111122-2-2-1-1-1-11111000000000000
χ282222-2-2-12-2-22-1-11111-12222-2-2-111-1-1-1-1-11111-2-2221111-1-1-1-10000000000002222-2-2-12-2-22-1-11111-12222-2-2-111-1-1-1-1-11111-2-2221111-1-1-1-10000000000002222-2-2-12-2-22-1-11111-12222-2-2-111-1-1-1-1-11111-2-2221111-1-1-1-1000000000000
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χ4222-2-2-22-1-2-2221111-1-1-122-2-2-2211-1-1-1-11111-1-1-222-211-1-1-1-11100000000000022-2-2-22-1-2-2221111-1-1-122-2-2-2211-1-1-1-11111-1-1-222-211-1-1-1-11100000000000022-2-2-22-1-2-2221111-1-1-122-2-2-2211-1-1-1-11111-1-1-222-211-1-1-1-111000000000000
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χ681111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ6911-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ7011-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22
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χ122111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ123111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−1−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−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ124111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1251111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−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+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ1261111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1271111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ1281111-1-111-1-1111-1-1-1-111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ12911-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ13011-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14
χ13111-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111ii−i−iii−i−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ13211-1-11-11-11-11-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-1-111-1-111−i−iii−i−iiii−ii−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14
χ13311-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14
χ13411-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-1111-1-1111-1-1-1-111−i−iiiii−i−i−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ13511-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1ii−i−i−i−iii−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14
χ13611-1-1-111-1-111-1-1-1-111111-1-1-11-1-11111-1-1-1-111-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ137222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3000000000000000000000000
χ1382222222-2-2-2-22222222000000-2-2-2-2000000000000000000002−22−22−22−20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i31+i31+i31+i300000000000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i31−i31−i31−i300000000000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ1392222222-2-2-2-22222222000000-2-2-2-200000000000000000000−22−22−22−220000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i31+i31+i31+i300000000000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i31−i31−i31−i300000000000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ140222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−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+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+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
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χ142222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000−i3i3−i3i3−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+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+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−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
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.