Finite Group Databasebeta

← Group #13049588

Character table — Group #13049588

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222244444444444444444444444499181818181854545454112222244444444444444444444444499181818181854545454112222244444444444444444444444499181818181854545454
order12236663333336666666666666666664441212121288883663666333333666666666666666666121212121212122424242436636663333336666666666666666661212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1
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−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−iii
χ511-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-111-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-111-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1
χ611-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1111-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1111-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-11
χ711-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii11-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii11-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii
χ811-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i11-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i11-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i
χ9222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000
χ10222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000
χ1122-2-111-122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-111000022-2-111-122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-111000022-2-111-122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-1110000
χ1222-2-111-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-1000022-2-111-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-1000022-2-111-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-10000
χ132-20200-2222222-2-2-2-2-2-20000000000002i−2i02i−2i0000002-20200-2222222-2-2-2-2-2-20000000000002i−2i02i−2i0000002-20200-2222222-2-2-2-2-2-20000000000002i−2i02i−2i000000
χ142-20200-2222222-2-2-2-2-2-2000000000000−2i2i0−2i2i0000002-20200-2222222-2-2-2-2-2-2000000000000−2i2i0−2i2i0000002-20200-2222222-2-2-2-2-2-2000000000000−2i2i0−2i2i000000
χ152-20-1−i3i3122-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32i−2i0−ii3−300002-20-1−i3i3122-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32i−2i0−ii3−300002-20-1−i3i3122-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i32i−2i0−ii3−30000
χ162-20-1−i3i3122-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3−2i2i0i−i−3300002-20-1−i3i3122-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3−2i2i0i−i−3300002-20-1−i3i3122-1-1-1-1-2-211110000−i3−i3−i3−i3i3i3i3i3−2i2i0i−i−330000
χ172-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32i−2i0−ii−3300002-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32i−2i0−ii−3300002-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32i−2i0−ii−330000
χ182-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3−2i2i0i−i3−300002-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3−2i2i0i−i3−300002-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i3−2i2i0i−i3−30000
χ1944444441-211-2-21-211-2-211-2-211-2-211-2-20000000000044444441-211-2-21-211-2-211-2-211-2-211-2-20000000000044444441-211-2-21-211-2-211-2-211-2-211-2-200000000000
χ204444444-21-2-211-21-2-211-2-211-2-211-2-211000000000004444444-21-2-211-21-2-211-2-211-2-211-2-211000000000004444444-21-2-211-21-2-211-2-211-2-211-2-21100000000000
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+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+3i32−1−3i321100000000000
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+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+3i32−1−3i3200000000000
χ2544-44-4-441-211-2-21-211-2-2-1-122-1-122-1-1220000000000044-44-4-441-211-2-21-211-2-2-1-122-1-122-1-1220000000000044-44-4-441-211-2-21-211-2-2-1-122-1-122-1-12200000000000
χ2644-44-4-44-21-2-211-21-2-21122-1-122-1-122-1-10000000000044-44-4-44-21-2-211-21-2-21122-1-122-1-122-1-10000000000044-44-4-44-21-2-211-21-2-21122-1-122-1-122-1-100000000000
χ2744-4-222-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-10000000000044-4-222-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-10000000000044-4-222-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-100000000000
χ2844-4-222-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-10000000000044-4-222-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-10000000000044-4-222-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-100000000000
χ2944-4-222-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i320000000000044-4-222-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i320000000000044-4-222-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i3200000000000
χ3044-4-222-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i320000000000044-4-222-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i320000000000044-4-222-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i3200000000000
χ314-40400-41-211-2-2-12-1-1223-3003-300-3300000000000004-40400-41-211-2-2-12-1-1223-3003-300-3300000000000004-40400-41-211-2-2-12-1-1223-3003-300-330000000000000
χ324-40400-41-211-2-2-12-1-122-3300-33003-300000000000004-40400-41-211-2-2-12-1-122-3300-33003-300000000000004-40400-41-211-2-2-12-1-122-3300-33003-30000000000000
χ334-40400-4-21-2-2112-122-1-1003-3003-300-33000000000004-40400-4-21-2-2112-122-1-1003-3003-300-33000000000004-40400-4-21-2-2112-122-1-1003-3003-300-3300000000000
χ344-40400-4-21-2-2112-122-1-100-3300-33003-3000000000004-40400-4-21-2-2112-122-1-100-3300-33003-3000000000004-40400-4-21-2-2112-122-1-100-3300-33003-300000000000
χ354-40-2−2i32i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000004-40-2−2i32i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000004-40-2−2i32i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i300000000000
χ364-40-2−2i32i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000004-40-2−2i32i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000004-40-2−2i32i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i300000000000
χ374-40-2−2i32i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000004-40-2−2i32i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000004-40-2−2i32i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i3200000000000
χ384-40-2−2i32i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i32000000000004-40-2−2i32i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i32000000000004-40-2−2i32i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i3200000000000
χ394-40-22i3−2i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-33003+i32−3+i32−i3−i3−3−i323−i32i3i3000000000004-40-22i3−2i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-33003+i32−3+i32−i3−i3−3−i323−i32i3i3000000000004-40-22i3−2i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-33003+i32−3+i32−i3−i3−3−i323−i32i3i300000000000
χ404-40-22i3−2i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-13-300−3+i323+i32−i3−i33−i32−3−i32i3i3000000000004-40-22i3−2i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-13-300−3+i323+i32−i3−i33−i32−3−i32i3i3000000000004-40-22i3−2i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-13-300−3+i323+i32−i3−i33−i32−3−i32i3i300000000000
χ414-40-22i3−2i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i32000000000004-40-22i3−2i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i32000000000004-40-22i3−2i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i3200000000000
χ424-40-22i3−2i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i32000000000004-40-22i3−2i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i32000000000004-40-22i3−2i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i3200000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4411111111111111111111111111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ451111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32ζ11ζ11−ζ11−ζ11
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χ52222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000
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χ9111-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii−1−i32−1−i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7
χ9211-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i−1−i32−1−i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7
χ93222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i320000
χ94222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000
χ9522-2-111-122-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-1-1110000−1−i3−1−i31+i31+i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i321−i32−1+i32−1+i320000
χ9622-2-111-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2211-1-10000−1−i3−1−i31+i31+i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i32−1−i321+i321+i320000−1+i3−1+i31−i31−i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i32−1+i321−i321−i320000
χ972-20200-2222222-2-2-2-2-2-20000000000002i−2i02i−2i000000−1−i31+i30−1−i3001+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000002ζ11−2ζ1102ζ11−2ζ11000000−1+i31−i30−1+i3001−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000002ζ7−2ζ702ζ7−2ζ7000000
χ982-20200-2222222-2-2-2-2-2-2000000000000−2i2i0−2i2i000000−1−i31+i30−1−i3001+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000−2ζ112ζ110−2ζ112ζ11000000−1+i31−i30−1+i3001−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000−2ζ72ζ70−2ζ72ζ7000000
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χ1012-20-1i3−i3122-1-1-1-1-2-211110000i3i3i3i3−i3−i3−i3−i32i−2i0−ii−330000−1−i31+i301+i323−i32−3+i32−1−i32−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200003−i323−i323−i323−i32−3+i32−3+i32−3+i32−3+i322ζ11−2ζ110−ζ11ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i301−i32−3−i323+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i320000−3−i32−3−i32−3−i32−3−i323+i323+i323+i323+i322ζ7−2ζ70−ζ7ζ7ζ7+2ζ11−ζ7−2ζ110000
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χ10344444441-211-2-21-211-2-211-2-211-2-211-2-200000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i300000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i300000000000
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χ105444-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321100000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i3−1−i321+i3−2+i35−i32−1−i32−1−i32−1−i321+i3−2+i35−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−2+i35−i32−1−i32−1−i32−2+i35−i32−1−i32−1−i3200000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i3−1+i321−i35+i32−2−i3−1+i32−1+i32−1+i321−i35+i32−2−i3−1+i32−1+i32−1+i32−1+i321−i31−i35+i32−2−i3−1+i32−1+i325+i32−2−i3−1+i32−1+i3200000000000
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χ11144-4-222-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-100000000000−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i3−1−i321+i3−2+i35−i32−1−i32−1−i32−1−i321+i3−2+i35−i32−1−i32−1−i321+i321+i32−1−i3−1−i32−i3−5+i321+i321+i322−i3−5+i321+i321+i3200000000000−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i3−1+i321−i35+i32−2−i3−1+i32−1+i32−1+i321−i35+i32−2−i3−1+i32−1+i321−i321−i32−1+i3−1+i3−5−i322+i31−i321−i32−5−i322+i31−i321−i3200000000000
χ11244-4-222-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-100000000000−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i3−1−i321+i35−i32−2+i3−1−i32−1−i32−1−i321+i35−i32−2+i3−1−i32−1−i321+i321+i32−1−i3−1−i3−5+i322−i31+i321+i32−5+i322−i31+i321+i3200000000000−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i3−1+i321−i3−2−i35+i32−1+i32−1+i32−1+i321−i3−2−i35+i32−1+i32−1+i321−i321−i32−1+i3−1+i32+i3−5−i321−i321−i322+i3−5−i321−i321−i3200000000000
χ11344-4-222-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i3200000000000−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−2+i35−i321+i3−1−i32−1−i32−1−i32−2+i35−i32−1−i3−1−i31+i321+i321+i321+i322−i3−5+i321+i321+i322−i3−5+i3200000000000−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i325+i32−2−i31−i3−1+i32−1+i32−1+i325+i32−2−i3−1+i3−1+i31−i321−i321−i321−i32−5−i322+i31−i321−i32−5−i322+i300000000000
χ11444-4-222-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i3200000000000−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i325−i32−2+i31+i3−1−i32−1−i32−1−i325−i32−2+i3−1−i3−1−i31+i321+i321+i321+i32−5+i322−i31+i321+i32−5+i322−i300000000000−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−2−i35+i321−i3−1+i32−1+i32−1+i32−2−i35+i32−1+i3−1+i31−i321−i321−i321−i322+i3−5−i321−i321−i322+i3−5−i3200000000000
χ1154-40400-41-211-2-2-12-1-1223-3003-300-330000000000000−2−2i32+2i30−2−2i3002+2i3−1−i321+i3−1−i32−1−i321+i31+i31+i32−1−i31+i321+i32−1−i3−1−i3−3−3i323+3i3200−3−3i323+3i32003+3i32−3−3i320000000000000−2+2i32−2i30−2+2i3002−2i3−1+i321−i3−1+i32−1+i321−i31−i31−i32−1+i31−i321−i32−1+i3−1+i3−3+3i323−3i3200−3+3i323−3i32003−3i32−3+3i320000000000000
χ1164-40400-41-211-2-2-12-1-122-3300-33003-30000000000000−2−2i32+2i30−2−2i3002+2i3−1−i321+i3−1−i32−1−i321+i31+i31+i32−1−i31+i321+i32−1−i3−1−i33+3i32−3−3i32003+3i32−3−3i3200−3−3i323+3i320000000000000−2+2i32−2i30−2+2i3002−2i3−1+i321−i3−1+i32−1+i321−i31−i31−i32−1+i31−i321−i32−1+i3−1+i33−3i32−3+3i32003−3i32−3+3i3200−3+3i323−3i320000000000000
χ1174-40400-4-21-2-2112-122-1-1003-3003-300-3300000000000−2−2i32+2i30−2−2i3002+2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i31+i32−1−i3−1−i31+i321+i3200−3−3i323+3i3200−3−3i323+3i32003+3i32−3−3i3200000000000−2+2i32−2i30−2+2i3002−2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i31−i32−1+i3−1+i31−i321−i3200−3+3i323−3i3200−3+3i323−3i32003−3i32−3+3i3200000000000
χ1184-40400-4-21-2-2112-122-1-100-3300-33003-300000000000−2−2i32+2i30−2−2i3002+2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i31+i32−1−i3−1−i31+i321+i32003+3i32−3−3i32003+3i32−3−3i3200−3−3i323+3i3200000000000−2+2i32−2i30−2+2i3002−2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i31−i32−1+i3−1+i31−i321−i32003−3i32−3+3i32003−3i32−3+3i3200−3+3i323−3i3200000000000
χ1194-40-2−2i32i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i300000000000−2−2i32+2i301+i3−3+i33−i3−1−i3−1−i321+i3−2+i35−i32−1−i32−1−i321+i32−1−i32−i3−5+i321+i321+i32−3−3i323+3i3200i3−3−i323−i323−i32−i33+i32−3+i32−3+i3200000000000−2+2i32−2i301−i33+i3−3−i3−1+i3−1+i321−i35+i32−2−i3−1+i32−1+i321−i32−1+i3−5−i322+i31−i321−i32−3+3i323−3i32003−i32i3−3−i32−3−i32−3+i32−i33+i323+i3200000000000
χ1204-40-2−2i32i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i300000000000−2−2i32+2i301+i3−3+i33−i3−1−i3−1−i321+i35−i32−2+i3−1−i32−1−i321+i32−1−i3−5+i322−i31+i321+i323+3i32−3−3i3200−3−i32i33−i323−i323+i32−i3−3+i32−3+i3200000000000−2+2i32−2i301−i33+i3−3−i3−1+i3−1+i321−i3−2−i35+i32−1+i32−1+i321−i32−1+i32+i3−5−i321−i321−i323−3i32−3+3i3200i33−i32−3−i32−3−i32−i3−3+i323+i323+i3200000000000
χ1214-40-2−2i32i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i3200000000000−2−2i32+2i301+i3−3+i33−i3−1−i31+i3−1−i32−1−i32−1−i32−2+i35−i32−1−i31+i321+i321+i322−i3−5+i3200−3−3i323+3i323−i323−i32i3−3−i32−3+i32−3+i32−i33+i3200000000000−2+2i32−2i301−i33+i3−3−i3−1+i31−i3−1+i32−1+i32−1+i325+i32−2−i3−1+i31−i321−i321−i32−5−i322+i300−3+3i323−3i32−3−i32−3−i323−i32i33+i323+i32−3+i32−i300000000000
χ1224-40-2−2i32i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i3200000000000−2−2i32+2i301+i3−3+i33−i3−1−i31+i3−1−i32−1−i32−1−i325−i32−2+i3−1−i31+i321+i321+i32−5+i322−i3003+3i32−3−3i323−i323−i32−3−i32i3−3+i32−3+i323+i32−i300000000000−2+2i32−2i301−i33+i3−3−i3−1+i31−i3−1+i32−1+i32−1+i32−2−i35+i32−1+i31−i321−i321−i322+i3−5−i32003−3i32−3+3i32−3−i32−3−i32i33−i323+i323+i32−i3−3+i3200000000000
χ1234-40-22i3−2i321-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-33003+i32−3+i32−i3−i3−3−i323−i32i3i300000000000−2−2i32+2i301+i33−i3−3+i3−1−i3−1−i321+i3−2+i35−i32−1−i32−1−i321+i32−1−i32−i3−5+i321+i321+i323+3i32−3−3i3200−i33+i32−3+i32−3+i32i3−3−i323−i323−i3200000000000−2+2i32−2i301−i3−3−i33+i3−1+i3−1+i321−i35+i32−2−i3−1+i32−1+i321−i32−1+i3−5−i322+i31−i321−i323−3i32−3+3i3200−3+i32−i33+i323+i323−i32i3−3−i32−3−i3200000000000
χ1244-40-22i3−2i321-2−1+3i32−1−3i3211-121−3i321+3i32-1-13-300−3+i323+i32−i3−i33−i32−3−i32i3i300000000000−2−2i32+2i301+i33−i3−3+i3−1−i3−1−i321+i35−i32−2+i3−1−i32−1−i321+i32−1−i3−5+i322−i31+i321+i32−3−3i323+3i32003+i32−i3−3+i32−3+i32−3−i32i33−i323−i3200000000000−2+2i32−2i301−i3−3−i33+i3−1+i3−1+i321−i3−2−i35+i32−1+i32−1+i321−i32−1+i32+i3−5−i321−i321−i32−3+3i323−3i3200−i3−3+i323+i323+i32i33−i32−3−i32−3−i3200000000000
χ1254-40-22i3−2i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i3200000000000−2−2i32+2i301+i33−i3−3+i3−1−i31+i3−1−i32−1−i32−1−i32−2+i35−i32−1−i31+i321+i321+i322−i3−5+i32003+3i32−3−3i32−3+i32−3+i32−i33+i323−i323−i32i3−3−i3200000000000−2+2i32−2i301−i3−3−i33+i3−1+i31−i3−1+i32−1+i32−1+i325+i32−2−i3−1+i31−i321−i321−i32−5−i322+i3003−3i32−3+3i323+i323+i32−3+i32−i3−3−i32−3−i323−i32i300000000000
χ1264-40-22i3−2i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i3200000000000−2−2i32+2i301+i33−i3−3+i3−1−i31+i3−1−i32−1−i32−1−i325−i32−2+i3−1−i31+i321+i321+i32−5+i322−i300−3−3i323+3i32−3+i32−3+i323+i32−i33−i323−i32−3−i32i300000000000−2+2i32−2i301−i3−3−i33+i3−1+i31−i3−1+i32−1+i32−1+i32−2−i35+i32−1+i31−i321−i321−i322+i3−5−i3200−3+3i323−3i323+i323+i32−i3−3+i32−3−i32−3−i32i33−i3200000000000

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