Finite Group Databasebeta

← Group #13173407

Character table — Group #13173407

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size112222244444444444444444444444499181818181854545454112222244444444444444444444444499181818181854545454112222244444444444444444444444499181818181854545454112222244444444444444444444444499181818181854545454
order1223666333333666666666666666666222666644444441212121212121212121212121212121212121212121212121212121244412121212444422266666666666666666666666666662226666444444412121212121212121212121212121212121212121212121212121212444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111111111111111-1-1-1-1-1-1-1−i−iii
χ511-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1
χ611-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-11
χ711-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii
χ811-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i
χ9222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000
χ10222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000
χ1122-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-111000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-111000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-111000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-1110000
χ1222-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-1000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-1000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-1000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-10000
χ132-202-200222222-2-2-2-2-2-20000000000002-202-20000002-202-200222222-2-2-2-2-2-20000000000002-202-20000002-202-200222222-2-2-2-2-2-20000000000002-202-20000002-202-200222222-2-2-2-2-2-20000000000002-202-2000000
χ142-202-200222222-2-2-2-2-2-2000000000000-220-220000002-202-200222222-2-2-2-2-2-2000000000000-220-220000002-202-200222222-2-2-2-2-2-2000000000000-220-220000002-202-200222222-2-2-2-2-2-2000000000000-220-22000000
χ152-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32-20-11−i3i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32-20-11−i3i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32-20-11−i3i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32-20-11−i3i30000
χ162-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i30000
χ172-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32-20-11i3−i300002-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32-20-11i3−i300002-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32-20-11i3−i300002-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32-20-11i3−i30000
χ182-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3-2201-1−i3i300002-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3-2201-1−i3i300002-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3-2201-1−i3i300002-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3-2201-1−i3i30000
χ1944444441-211-2-21-211-2-211-2-211-2-211-2-20000000000044444441-211-2-21-211-2-211-2-211-2-211-2-20000000000044444441-211-2-21-211-2-211-2-211-2-211-2-20000000000044444441-211-2-21-211-2-211-2-211-2-211-2-200000000000
χ204444444-21-2-211-21-2-211-2-211-2-211-2-211000000000004444444-21-2-211-21-2-211-2-211-2-211-2-211000000000004444444-21-2-211-21-2-211-2-211-2-211-2-211000000000004444444-21-2-211-21-2-211-2-211-2-211-2-21100000000000
χ21444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321100000000000444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321100000000000444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321100000000000444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321100000000000
χ22444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321100000000000444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321100000000000444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321100000000000444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321100000000000
χ23444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3200000000000444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3200000000000444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3200000000000444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3200000000000
χ24444-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3200000000000444-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3200000000000444-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3200000000000444-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3200000000000
χ2544-444-4-41-211-2-21-211-2-2-1-122-1-122-1-1220000000000044-444-4-41-211-2-21-211-2-2-1-122-1-122-1-1220000000000044-444-4-41-211-2-21-211-2-2-1-122-1-122-1-1220000000000044-444-4-41-211-2-21-211-2-2-1-122-1-122-1-12200000000000
χ2644-444-4-4-21-2-211-21-2-21122-1-122-1-122-1-10000000000044-444-4-4-21-2-211-21-2-21122-1-122-1-122-1-10000000000044-444-4-4-21-2-211-21-2-21122-1-122-1-122-1-10000000000044-444-4-4-21-2-211-21-2-21122-1-122-1-122-1-100000000000
χ2744-4-2-2221-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-10000000000044-4-2-2221-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-10000000000044-4-2-2221-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-10000000000044-4-2-2221-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-100000000000
χ2844-4-2-2221-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-10000000000044-4-2-2221-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-10000000000044-4-2-2221-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-10000000000044-4-2-2221-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-100000000000
χ2944-4-2-222-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i320000000000044-4-2-222-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i320000000000044-4-2-222-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i320000000000044-4-2-222-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i3200000000000
χ3044-4-2-222-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i320000000000044-4-2-222-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i320000000000044-4-2-222-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i320000000000044-4-2-222-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i3200000000000
χ314-404-4001-211-2-2-12-1-1223-3003-300-3300000000000004-404-4001-211-2-2-12-1-1223-3003-300-3300000000000004-404-4001-211-2-2-12-1-1223-3003-300-3300000000000004-404-4001-211-2-2-12-1-1223-3003-300-330000000000000
χ324-404-4001-211-2-2-12-1-122-3300-33003-300000000000004-404-4001-211-2-2-12-1-122-3300-33003-300000000000004-404-4001-211-2-2-12-1-122-3300-33003-300000000000004-404-4001-211-2-2-12-1-122-3300-33003-30000000000000
χ334-404-400-21-2-2112-122-1-1003-3003-300-33000000000004-404-400-21-2-2112-122-1-1003-3003-300-33000000000004-404-400-21-2-2112-122-1-1003-3003-300-33000000000004-404-400-21-2-2112-122-1-1003-3003-300-3300000000000
χ344-404-400-21-2-2112-122-1-100-3300-33003-3000000000004-404-400-21-2-2112-122-1-100-3300-33003-3000000000004-404-400-21-2-2112-122-1-100-3300-33003-3000000000004-404-400-21-2-2112-122-1-100-3300-33003-300000000000
χ354-40-22−2i32i31-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000004-40-22−2i32i31-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000004-40-22−2i32i31-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000004-40-22−2i32i31-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i300000000000
χ364-40-22−2i32i31-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000004-40-22−2i32i31-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000004-40-22−2i32i31-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000004-40-22−2i32i31-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i300000000000
χ374-40-22−2i32i3-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000004-40-22−2i32i3-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000004-40-22−2i32i3-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000004-40-22−2i32i3-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i3200000000000
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χ85111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ8611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ871111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii1111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii
χ881111111111111111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i1111111111111111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i
χ8911-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-111-11-1111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-111-11-11
χ9011-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1111-11-111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1111-11-1
χ9111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1−iii−i11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1−iii−i
χ9211-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1i−i−ii11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1i−i−ii
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χ94222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000-2-2-21111-2-21111-2-21111-2-2-2-211111111222-1-1-1-10000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000-2-2-21111-2-21111-2-21111-2-2-2-211111111222-1-1-1-10000
χ9522-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-1110000-2-2211-1-1-2-21111-2-211112222-1-1-1-1-1-1-1-1-2-2211-1-1000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-1110000-2-2211-1-1-2-21111-2-211112222-1-1-1-1-1-1-1-1-2-2211-1-10000
χ9622-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-10000-2-2211-1-1-2-21111-2-211112222-1-1-1-1-1-1-1-122-2-1-111000022-2-1-11122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-10000-2-2211-1-1-2-21111-2-211112222-1-1-1-1-1-1-1-122-2-1-1110000
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χ982-202-200222222-2-2-2-2-2-2000000000000-220-22000000-220-2200-2-2-2-2-2-22222220000000000002-202-20000002-202-200222222-2-2-2-2-2-2000000000000-220-22000000-220-2200-2-2-2-2-2-22222220000000000002-202-2000000
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χ1002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i30000-2201-1i3−i3-2-2111122-1-1-1-10000i3i3i3i3−i3−i3−i3−i32-20-11−i3i300002-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i30000-2201-1i3−i3-2-2111122-1-1-1-10000i3i3i3i3−i3−i3−i3−i32-20-11−i3i30000
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χ10344444441-211-2-21-211-2-211-2-211-2-211-2-200000000000-4-4-4-4-4-4-4-12-1-122-12-1-122-1-122-1-122-1-1220000000000044444441-211-2-21-211-2-211-2-211-2-211-2-200000000000-4-4-4-4-4-4-4-12-1-122-12-1-122-1-122-1-122-1-12200000000000
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χ1412-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32-20-11−i3i30000−2i2i0i−i−33−2i−2iiiii2i2i−i−i−i−i0000−3−3−3−33333−2i2i0i−i−330000-2201-1i3−i3-2-2111122-1-1-1-10000i3i3i3i3−i3−i3−i3−i3-2201-1i3−i300002i−2i0−ii3−32i2i−i−i−i−i−2i−2iiiii00003333−3−3−3−32i−2i0−ii3−30000
χ1422-20-11−i3i322-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3-2201-1i3−i30000−2i2i0i−i−33−2i−2iiiii2i2i−i−i−i−i0000−3−3−3−333332i−2i0−ii3−30000-2201-1i3−i3-2-2111122-1-1-1-10000i3i3i3i3−i3−i3−i3−i32-20-11−i3i300002i−2i0−ii3−32i2i−i−i−i−i−2i−2iiiii00003333−3−3−3−3−2i2i0i−i−330000
χ1432-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32-20-11i3−i30000−2i2i0i−i3−3−2i−2iiiii2i2i−i−i−i−i00003333−3−3−3−3−2i2i0i−i3−30000-2201-1−i3i3-2-2111122-1-1-1-10000−i3−i3−i3−i3i3i3i3i3-2201-1−i3i300002i−2i0−ii−332i2i−i−i−i−i−2i−2iiiii0000−3−3−3−333332i−2i0−ii−330000
χ1442-20-11i3−i322-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3-2201-1−i3i30000−2i2i0i−i3−3−2i−2iiiii2i2i−i−i−i−i00003333−3−3−3−32i−2i0−ii−330000-2201-1−i3i3-2-2111122-1-1-1-10000−i3−i3−i3−i3i3i3i3i32-20-11i3−i300002i−2i0−ii−332i2i−i−i−i−i−2i−2iiiii0000−3−3−3−33333−2i2i0i−i3−30000
χ14544444441-211-2-21-211-2-211-2-211-2-211-2-200000000000−4i−4i−4i−4i−4i−4i−4i−i2i−i−i2i2i−i2i−i−i2i2i−i−i2i2i−i−i2i2i−i−i2i2i00000000000-4-4-4-4-4-4-4-12-1-122-12-1-122-1-122-1-122-1-122000000000004i4i4i4i4i4i4ii−2iii−2i−2ii−2iii−2i−2iii−2i−2iii−2i−2iii−2i−2i00000000000
χ1464444444-21-2-211-21-2-211-2-211-2-211-2-21100000000000−4i−4i−4i−4i−4i−4i−4i2i−i2i2i−i−i2i−i2i2i−i−i2i2i−i−i2i2i−i−i2i2i−i−i00000000000-4-4-4-4-4-4-42-122-1-12-122-1-122-1-122-1-122-1-1000000000004i4i4i4i4i4i4i−2ii−2i−2iii−2ii−2i−2iii−2i−2iii−2i−2iii−2i−2iii00000000000
χ147444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321100000000000−4i−4i−4i2i2i2i2i−i2iζ7−2ζ11−2ζ7+ζ11−i−i−i2iζ7−2ζ11−2ζ7+ζ11−i−i−i−i2i2iζ7−2ζ11−2ζ7+ζ11−i−iζ7−2ζ11−2ζ7+ζ11−i−i00000000000-4-4-42222-121+3i321−3i32-1-1-121+3i321−3i32-1-1-1-1221+3i321−3i32-1-11+3i321−3i32-1-1000000000004i4i4i−2i−2i−2i−2ii−2i−ζ7+2ζ112ζ7−ζ11iii−2i−ζ7+2ζ112ζ7−ζ11iiii−2i−2i−ζ7+2ζ112ζ7−ζ11ii−ζ7+2ζ112ζ7−ζ11ii00000000000
χ148444-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321100000000000−4i−4i−4i2i2i2i2i−i2i−2ζ7+ζ11ζ7−2ζ11−i−i−i2i−2ζ7+ζ11ζ7−2ζ11−i−i−i−i2i2i−2ζ7+ζ11ζ7−2ζ11−i−i−2ζ7+ζ11ζ7−2ζ11−i−i00000000000-4-4-42222-121−3i321+3i32-1-1-121−3i321+3i32-1-1-1-1221−3i321+3i32-1-11−3i321+3i32-1-1000000000004i4i4i−2i−2i−2i−2ii−2i2ζ7−ζ11−ζ7+2ζ11iii−2i2ζ7−ζ11−ζ7+2ζ11iiii−2i−2i2ζ7−ζ11−ζ7+2ζ11ii2ζ7−ζ11−ζ7+2ζ11ii00000000000
χ149444-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3200000000000−4i−4i−4i2i2i2i2i2i−i−i−iζ7−2ζ11−2ζ7+ζ112i−i−i−iζ7−2ζ11−2ζ7+ζ112i2i−i−i−i−iζ7−2ζ11−2ζ7+ζ11−i−iζ7−2ζ11−2ζ7+ζ1100000000000-4-4-422222-1-1-11+3i321−3i322-1-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i32000000000004i4i4i−2i−2i−2i−2i−2iiii−ζ7+2ζ112ζ7−ζ11−2iiii−ζ7+2ζ112ζ7−ζ11−2i−2iiiii−ζ7+2ζ112ζ7−ζ11ii−ζ7+2ζ112ζ7−ζ1100000000000
χ150444-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3200000000000−4i−4i−4i2i2i2i2i2i−i−i−i−2ζ7+ζ11ζ7−2ζ112i−i−i−i−2ζ7+ζ11ζ7−2ζ112i2i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−i−i−2ζ7+ζ11ζ7−2ζ1100000000000-4-4-422222-1-1-11−3i321+3i322-1-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i32000000000004i4i4i−2i−2i−2i−2i−2iiii2ζ7−ζ11−ζ7+2ζ11−2iiii2ζ7−ζ11−ζ7+2ζ11−2i−2iiiii2ζ7−ζ11−ζ7+2ζ11ii2ζ7−ζ11−ζ7+2ζ1100000000000
χ15144-444-4-41-211-2-21-211-2-2-1-122-1-122-1-12200000000000−4i−4i4i−4i−4i4i4i−i2i−i−i2i2i−i2i−i−i2i2iii−2i−2iii−2i−2iii−2i−2i00000000000-4-44-4-444-12-1-122-12-1-12211-2-211-2-211-2-2000000000004i4i−4i4i4i−4i−4ii−2iii−2i−2ii−2iii−2i−2i−i−i2i2i−i−i2i2i−i−i2i2i00000000000
χ15244-444-4-4-21-2-211-21-2-21122-1-122-1-122-1-100000000000−4i−4i4i−4i−4i4i4i2i−i2i2i−i−i2i−i2i2i−i−i−2i−2iii−2i−2iii−2i−2iii00000000000-4-44-4-4442-122-1-12-122-1-1-2-211-2-211-2-211000000000004i4i−4i4i4i−4i−4i−2ii−2i−2iii−2ii−2i−2iii2i2i−i−i2i2i−i−i2i2i−i−i00000000000
χ15344-4-2-2221-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-100000000000−4i−4i4i2i2i−2i−2i−i2iζ7−2ζ11−2ζ7+ζ11−i−i−i2iζ7−2ζ11−2ζ7+ζ11−i−iii−2i−2i−ζ7+2ζ112ζ7−ζ11ii−ζ7+2ζ112ζ7−ζ11ii00000000000-4-4422-2-2-121+3i321−3i32-1-1-121+3i321−3i32-1-111-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211000000000004i4i−4i−2i−2i2i2ii−2i−ζ7+2ζ112ζ7−ζ11iii−2i−ζ7+2ζ112ζ7−ζ11ii−i−i2i2iζ7−2ζ11−2ζ7+ζ11−i−iζ7−2ζ11−2ζ7+ζ11−i−i00000000000
χ15444-4-2-2221-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-100000000000−4i−4i4i2i2i−2i−2i−i2i−2ζ7+ζ11ζ7−2ζ11−i−i−i2i−2ζ7+ζ11ζ7−2ζ11−i−iii−2i−2i2ζ7−ζ11−ζ7+2ζ11ii2ζ7−ζ11−ζ7+2ζ11ii00000000000-4-4422-2-2-121−3i321+3i32-1-1-121−3i321+3i32-1-111-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211000000000004i4i−4i−2i−2i2i2ii−2i2ζ7−ζ11−ζ7+2ζ11iii−2i2ζ7−ζ11−ζ7+2ζ11ii−i−i2i2i−2ζ7+ζ11ζ7−2ζ11−i−i−2ζ7+ζ11ζ7−2ζ11−i−i00000000000
χ15544-4-2-222-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i3200000000000−4i−4i4i2i2i−2i−2i2i−i−i−iζ7−2ζ11−2ζ7+ζ112i−i−i−iζ7−2ζ11−2ζ7+ζ11−2i−2iiiii−ζ7+2ζ112ζ7−ζ11ii−ζ7+2ζ112ζ7−ζ1100000000000-4-4422-2-22-1-1-11+3i321−3i322-1-1-11+3i321−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i32000000000004i4i−4i−2i−2i2i2i−2iiii−ζ7+2ζ112ζ7−ζ11−2iiii−ζ7+2ζ112ζ7−ζ112i2i−i−i−i−iζ7−2ζ11−2ζ7+ζ11−i−iζ7−2ζ11−2ζ7+ζ1100000000000
χ15644-4-2-222-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i3200000000000−4i−4i4i2i2i−2i−2i2i−i−i−i−2ζ7+ζ11ζ7−2ζ112i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2i−2iiiii2ζ7−ζ11−ζ7+2ζ11ii2ζ7−ζ11−ζ7+2ζ1100000000000-4-4422-2-22-1-1-11−3i321+3i322-1-1-11−3i321+3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i32000000000004i4i−4i−2i−2i2i2i−2iiii2ζ7−ζ11−ζ7+2ζ11−2iiii2ζ7−ζ11−ζ7+2ζ112i2i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−i−i−2ζ7+ζ11ζ7−2ζ1100000000000
χ1574-404-4001-211-2-2-12-1-1223-3003-300-330000000000000−4i4i0−4i4i00−i2i−i−i2i2ii−2iii−2i−2i−3i3i00−3i3i003i−3i0000000000000-440-4400-12-1-1221-211-2-2-3300-33003-300000000000004i−4i04i−4i00i−2iii−2i−2i−i2i−i−i2i2i3i−3i003i−3i00−3i3i0000000000000
χ1584-404-4001-211-2-2-12-1-122-3300-33003-30000000000000−4i4i0−4i4i00−i2i−i−i2i2ii−2iii−2i−2i3i−3i003i−3i00−3i3i0000000000000-440-4400-12-1-1221-211-2-23-3003-300-3300000000000004i−4i04i−4i00i−2iii−2i−2i−i2i−i−i2i2i−3i3i00−3i3i003i−3i0000000000000
χ1594-404-400-21-2-2112-122-1-1003-3003-300-3300000000000−4i4i0−4i4i002i−i2i2i−i−i−2ii−2i−2iii00−3i3i00−3i3i003i−3i00000000000-440-44002-122-1-1-21-2-21100-3300-33003-3000000000004i−4i04i−4i00−2ii−2i−2iii2i−i2i2i−i−i003i−3i003i−3i00−3i3i00000000000
χ1604-404-400-21-2-2112-122-1-100-3300-33003-300000000000−4i4i0−4i4i002i−i2i2i−i−i−2ii−2i−2iii003i−3i003i−3i00−3i3i00000000000-440-44002-122-1-1-21-2-211003-3003-300-33000000000004i−4i04i−4i00−2ii−2i−2iii2i−i2i2i−i−i00−3i3i00−3i3i003i−3i00000000000
χ1614-40-22−2i32i31-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i300000000000−4i4i02i−2i−2323−i2iζ7−2ζ11−2ζ7+ζ11−i−ii−2i−ζ7+2ζ112ζ7−ζ11ii−3i3i00−ζ7−2ζ112ζ7+ζ1133ζ7+2ζ11−2ζ7−ζ11−3−300000000000-4402-22i3−2i3-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-33003+i32−3+i32−i3−i3−3−i323−i32i3i3000000000004i−4i0−2i2i23−23i−2i−ζ7+2ζ112ζ7−ζ11ii−i2iζ7−2ζ11−2ζ7+ζ11−i−i3i−3i00ζ7+2ζ11−2ζ7−ζ11−3−3−ζ7−2ζ112ζ7+ζ113300000000000
χ1624-40-22−2i32i31-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i300000000000−4i4i02i−2i−2323−i2i−2ζ7+ζ11ζ7−2ζ11−i−ii−2i2ζ7−ζ11−ζ7+2ζ11ii3i−3i002ζ7+ζ11−ζ7−2ζ1133−2ζ7−ζ11ζ7+2ζ11−3−300000000000-4402-22i3−2i3-121−3i321+3i32-1-11-2−1+3i32−1−3i32113-300−3+i323+i32−i3−i33−i32−3−i32i3i3000000000004i−4i0−2i2i23−23i−2i2ζ7−ζ11−ζ7+2ζ11ii−i2i−2ζ7+ζ11ζ7−2ζ11−i−i−3i3i00−2ζ7−ζ11ζ7+2ζ11−3−32ζ7+ζ11−ζ7−2ζ113300000000000
χ1634-40-22−2i32i3-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i3200000000000−4i4i02i−2i−23232i−i−i−iζ7−2ζ11−2ζ7+ζ11−2iiii−ζ7+2ζ112ζ7−ζ1100−3i3i33−ζ7−2ζ112ζ7+ζ11−3−3ζ7+2ζ11−2ζ7−ζ1100000000000-4402-22i3−2i32-1-1-11+3i321−3i32-2111−1−3i32−1+3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i32000000000004i−4i0−2i2i23−23−2iiii−ζ7+2ζ112ζ7−ζ112i−i−i−iζ7−2ζ11−2ζ7+ζ11003i−3i−3−3ζ7+2ζ11−2ζ7−ζ1133−ζ7−2ζ112ζ7+ζ1100000000000
χ1644-40-22−2i32i3-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i3200000000000−4i4i02i−2i−23232i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2iiii2ζ7−ζ11−ζ7+2ζ11003i−3i332ζ7+ζ11−ζ7−2ζ11−3−3−2ζ7−ζ11ζ7+2ζ1100000000000-4402-22i3−2i32-1-1-11−3i321+3i32-2111−1+3i32−1−3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i32000000000004i−4i0−2i2i23−23−2iiii2ζ7−ζ11−ζ7+2ζ112i−i−i−i−2ζ7+ζ11ζ7−2ζ1100−3i3i−3−3−2ζ7−ζ11ζ7+2ζ11332ζ7+ζ11−ζ7−2ζ1100000000000
χ1654-40-222i3−2i31-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-33003+i32−3+i32−i3−i3−3−i323−i32i3i300000000000−4i4i02i−2i23−23−i2iζ7−2ζ11−2ζ7+ζ11−i−ii−2i−ζ7+2ζ112ζ7−ζ11ii3i−3i00ζ7+2ζ11−2ζ7−ζ11−3−3−ζ7−2ζ112ζ7+ζ113300000000000-4402-2−2i32i3-121+3i321−3i32-1-11-2−1−3i32−1+3i32113-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000004i−4i0−2i2i−2323i−2i−ζ7+2ζ112ζ7−ζ11ii−i2iζ7−2ζ11−2ζ7+ζ11−i−i−3i3i00−ζ7−2ζ112ζ7+ζ1133ζ7+2ζ11−2ζ7−ζ11−3−300000000000
χ1664-40-222i3−2i31-2−1+3i32−1−3i3211-121−3i321+3i32-1-13-300−3+i323+i32−i3−i33−i32−3−i32i3i300000000000−4i4i02i−2i23−23−i2i−2ζ7+ζ11ζ7−2ζ11−i−ii−2i2ζ7−ζ11−ζ7+2ζ11ii−3i3i00−2ζ7−ζ11ζ7+2ζ11−3−32ζ7+ζ11−ζ7−2ζ113300000000000-4402-2−2i32i3-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000004i−4i0−2i2i−2323i−2i2ζ7−ζ11−ζ7+2ζ11ii−i2i−2ζ7+ζ11ζ7−2ζ11−i−i3i−3i002ζ7+ζ11−ζ7−2ζ1133−2ζ7−ζ11ζ7+2ζ11−3−300000000000
χ1674-40-222i3−2i3-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i3200000000000−4i4i02i−2i23−232i−i−i−iζ7−2ζ11−2ζ7+ζ11−2iiii−ζ7+2ζ112ζ7−ζ11003i−3i−3−3ζ7+2ζ11−2ζ7−ζ1133−ζ7−2ζ112ζ7+ζ1100000000000-4402-2−2i32i32-1-1-11+3i321−3i32-2111−1−3i32−1+3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000004i−4i0−2i2i−2323−2iiii−ζ7+2ζ112ζ7−ζ112i−i−i−iζ7−2ζ11−2ζ7+ζ1100−3i3i33−ζ7−2ζ112ζ7+ζ11−3−3ζ7+2ζ11−2ζ7−ζ1100000000000
χ1684-40-222i3−2i3-2111−1+3i32−1−3i322-1-1-11−3i321+3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i3200000000000−4i4i02i−2i23−232i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2iiii2ζ7−ζ11−ζ7+2ζ1100−3i3i−3−3−2ζ7−ζ11ζ7+2ζ11332ζ7+ζ11−ζ7−2ζ1100000000000-4402-2−2i32i32-1-1-11−3i321+3i32-2111−1+3i32−1−3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i32000000000004i−4i0−2i2i−2323−2iiii2ζ7−ζ11−ζ7+2ζ112i−i−i−i−2ζ7+ζ11ζ7−2ζ11003i−3i332ζ7+ζ11−ζ7−2ζ11−3−3−2ζ7−ζ11ζ7+2ζ1100000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.