Finite Group Databasebeta

← Group #13157220

Character table — Group #13157220

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size112222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444436367272727272216216216216
order1223666233333344666666666666666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121224461212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1i−ii−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−ii−ii
χ511111111111111-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-1-1
χ611111111111111-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-111
χ711111111111111-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1i−i−ii
χ811111111111111-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1−iii−i
χ92222222-222222200-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000000000000000000000002-20200-20000
χ102222222-222222200-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000000000000000000000000000-220-20020000
χ11222-1-1-1-1222-1-1-1-122-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10000
χ12222-1-1-1-1222-1-1-1-122-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211110000
χ13222-1-1-1-1222-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111122-2-111-10000
χ14222-1-1-1-1222-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111-2-221-1-110000
χ15222-1-1-1-1-222-1-1-1-100112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1−i3−i3i3i30000000000000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i32-20-1−i3i310000
χ16222-1-1-1-1-222-1-1-1-100112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1−i3−i3i3i30000000000000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3-2201i3−i3-10000
χ17222-1-1-1-1-222-1-1-1-100112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1i3i3−i3−i30000000000000000i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i32-20-1i3−i310000
χ18222-1-1-1-1-222-1-1-1-100112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1i3i3−i3−i30000000000000000i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3-2201−i3i3-10000
χ19444444441-211-2-2444411-2-21111-2-2-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-21-211-2-2444411111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-200000000000
χ20444444441-211-2-2-4-44411-2-21111-2-2-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-21-211-2-2-4-4-4-4-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222222200000000000
χ2144444444-21-2-2114444-2-211-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-211111111-21-2-2114444-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000
χ2244444444-21-2-211-4-444-2-211-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-211111111-21-2-211-4-4-4-422222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000
χ234444444-41-211-2-200-4-411-2-21111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1222222221-211-2-200003333-3-3-3-3000000003333-3-3-3-3000000003333-3-3-3-30000000000000000000
χ244444444-41-211-2-200-4-411-2-21111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1222222221-211-2-20000-3-3-3-3333300000000-3-3-3-3333300000000-3-3-3-333330000000000000000000
χ254444444-4-21-2-21100-4-4-2-211-2-2-2-211112222-1-1-1-122222222-1-1-1-1-1-1-1-1-21-2-2110000000000003333-3-3-3-3000000003333-3-3-3-3000000003333-3-3-3-300000000000
χ264444444-4-21-2-21100-4-4-2-211-2-2-2-211112222-1-1-1-122222222-1-1-1-1-1-1-1-1-21-2-211000000000000-3-3-3-3333300000000-3-3-3-3333300000000-3-3-3-3333300000000000
χ27444-2-2-2-241-2−1−3i32−1+3i321144-2-211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111111-2-2-2-2−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i32111111111-2−1−3i32−1+3i3211-2-2-2-211111111-2-2-2-2-2-2-2-2−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i3211111111−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i321111111100000000000
χ28444-2-2-2-241-2−1−3i32−1+3i3211-4-4-2-211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111111-2-2-2-2−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i32111111111-2−1−3i32−1+3i32112222-1-1-1-1-1-1-1-1222222221+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-1-1-1-1-1-1-1-11−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-1-1-1-1-1-1-1-100000000000
χ29444-2-2-2-241-2−1+3i32−1−3i321144-2-211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111111-2-2-2-2−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i32111111111-2−1+3i32−1−3i3211-2-2-2-211111111-2-2-2-2-2-2-2-2−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i3211111111−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i321111111100000000000
χ30444-2-2-2-241-2−1+3i32−1−3i3211-4-4-2-211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111111-2-2-2-2−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i32111111111-2−1+3i32−1−3i32112222-1-1-1-1-1-1-1-1222222221−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-1-1-1-1-1-1-1-11+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-1-1-1-1-1-1-1-100000000000
χ31444-2-2-2-24-2111−1−3i32−1+3i3244-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2111111111111−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-21111111111111111−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i3211111111−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i3200000000000
χ32444-2-2-2-24-2111−1−3i32−1+3i32-4-4-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2111111111111−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-1-1-1-1-1-1-1-11−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i3200000000000
χ33444-2-2-2-24-2111−1+3i32−1−3i3244-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2111111111111−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-21111111111111111−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i3211111111−1−3i32−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32−1+3i3200000000000
χ34444-2-2-2-24-2111−1+3i32−1−3i32-4-4-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2111111111111−1+3i32−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-1-1-1-1-1-1-1-11+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i3200000000000
χ35444-2-2-2-2-41-2−1−3i32−1+3i3211002211-2-2−1−3i32−1−3i32−1+3i32−1+3i321111-1-1-1-122221+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-1-1-1-1-1-1-1-11-2−1−3i32−1+3i3211−2i3−2i32i32i33333-3-3-3-300000000−3−i32−3−i32−3−i32−3−i323−i323−i323−i323−i32i3i3i3i3i3i3i3i3−3+i32−3+i32−3+i32−3+i323+i323+i323+i323+i32−i3−i3−i3−i3−i3−i3−i3−i300000000000
χ36444-2-2-2-2-41-2−1−3i32−1+3i3211002211-2-2−1−3i32−1−3i32−1+3i32−1+3i321111-1-1-1-122221+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-1-1-1-1-1-1-1-11-2−1−3i32−1+3i32112i32i3−2i3−2i3-3-3-3-33333000000003+i323+i323+i323+i32−3+i32−3+i32−3+i32−3+i32−i3−i3−i3−i3−i3−i3−i3−i33−i323−i323−i323−i32−3−i32−3−i32−3−i32−3−i32i3i3i3i3i3i3i3i300000000000
χ37444-2-2-2-2-41-2−1+3i32−1−3i3211002211-2-2−1+3i32−1+3i32−1−3i32−1−3i321111-1-1-1-122221−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-1-1-1-1-1-1-1-11-2−1+3i32−1−3i3211−2i3−2i32i32i3-3-3-3-33333000000003−i323−i323−i323−i32−3−i32−3−i32−3−i32−3−i32i3i3i3i3i3i3i3i33+i323+i323+i323+i32−3+i32−3+i32−3+i32−3+i32−i3−i3−i3−i3−i3−i3−i3−i300000000000
χ38444-2-2-2-2-41-2−1+3i32−1−3i3211002211-2-2−1+3i32−1+3i32−1−3i32−1−3i321111-1-1-1-122221−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-1-1-1-1-1-1-1-11-2−1+3i32−1−3i32112i32i3−2i3−2i33333-3-3-3-300000000−3+i32−3+i32−3+i32−3+i323+i323+i323+i323+i32−i3−i3−i3−i3−i3−i3−i3−i3−3−i32−3−i32−3−i32−3−i323−i323−i323−i323−i32i3i3i3i3i3i3i3i300000000000
χ39444-2-2-2-2-4-2111−1−3i32−1+3i320022-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-1-1-1-1-1-1-11+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-2111−1−3i32−1+3i32−2i3−2i32i32i3000000003333-3-3-3-3i3i3i3i3i3i3i3i3−3−i32−3−i32−3−i32−3−i323−i323−i323−i323−i32−i3−i3−i3−i3−i3−i3−i3−i3−3+i32−3+i32−3+i32−3+i323+i323+i323+i323+i3200000000000
χ40444-2-2-2-2-4-2111−1−3i32−1+3i320022-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-1-1-1-1-1-1-11+3i321+3i321+3i321+3i321−3i321−3i321−3i321−3i32-2111−1−3i32−1+3i322i32i3−2i3−2i300000000-3-3-3-33333−i3−i3−i3−i3−i3−i3−i3−i33+i323+i323+i323+i32−3+i32−3+i32−3+i32−3+i32i3i3i3i3i3i3i3i33−i323−i323−i323−i32−3−i32−3−i32−3−i32−3−i3200000000000
χ41444-2-2-2-2-4-2111−1+3i32−1−3i320022-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-1-1-1-1-1-1-11−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-2111−1+3i32−1−3i32−2i3−2i32i32i300000000-3-3-3-33333i3i3i3i3i3i3i3i33−i323−i323−i323−i32−3−i32−3−i32−3−i32−3−i32−i3−i3−i3−i3−i3−i3−i3−i33+i323+i323+i323+i32−3+i32−3+i32−3+i32−3+i3200000000000
χ42444-2-2-2-2-4-2111−1+3i32−1−3i320022-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-1-1-1-1-1-1-11−3i321−3i321−3i321−3i321+3i321+3i321+3i321+3i32-2111−1+3i32−1−3i322i32i3−2i3−2i3000000003333-3-3-3-3−i3−i3−i3−i3−i3−i3−i3−i3−3+i32−3+i32−3+i32−3+i323+i323+i323+i323+i32i3i3i3i3i3i3i3i3−3−i32−3−i32−3−i32−3−i323−i323−i323−i323−i3200000000000
χ4344-44-4-4401-211-2-20000-1-122-1-1-1-1222233-3-3000033-3-333-3-3000000001-211-2-20000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i3−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i3−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i300000000000
χ4444-44-4-4401-211-2-20000-1-122-1-1-1-1222233-3-3000033-3-333-3-3000000001-211-2-20000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i3i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i3i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i300000000000
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χ1074-40-22i3−2i3201-2−1−3i32−1+3i32112i−2i00-33003+i32−3−i323−i32−3+i32−i3i3i3−i3i3−i3−i3i32i3−2i300−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32−i3i3-33−i3i33-3-121+3i321−3i32-1-12ζ11−2ζ112ζ7−2ζ73ζ7+ζ11−3ζ7−ζ11ζ7+3ζ11−ζ7−3ζ11−iii−i−2ζ112ζ112ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7ζ7−ζ7−ζ7−4ζ11ζ7+4ζ11−ζ11ζ11ζ11−ζ11ζ7+3ζ11−ζ7−3ζ11−ii−ζ7−3ζ11ζ7+3ζ11i−i−4ζ7−ζ114ζ7+ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7i−i−3ζ7−ζ113ζ7+ζ11−ii3ζ7+ζ11−3ζ7−ζ1100000000000
χ1084-40-22i3−2i3201-2−1−3i32−1+3i3211−2i2i00-33003+i32−3−i323−i32−3+i32−i3i3i3−i3−i3i3i3−i3−2i32i3003+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32i3−i33-3i3−i3-33-121+3i321−3i32-1-1−2ζ112ζ11−2ζ72ζ7−ζ7−3ζ11ζ7+3ζ11−3ζ7−ζ113ζ7+ζ11i−i−ii2ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ11−2ζ11ζ7+4ζ11−ζ7−4ζ11−ζ7ζ7ζ11−ζ11−ζ11ζ11−iiζ7+3ζ11−ζ7−3ζ11i−i−ζ7−3ζ11ζ7+3ζ11−ζ11ζ114ζ7+ζ11−4ζ7−ζ11ζ7−ζ7−ζ7ζ7−3ζ7−ζ113ζ7+ζ11i−i3ζ7+ζ11−3ζ7−ζ11−ii00000000000
χ1094-40-22i3−2i3201-2−1−3i32−1+3i3211−2i2i00-33003+i32−3−i323−i32−3+i32−i3i3i3−i3i3−i3−i3i32i3−2i300−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32−i3i3-33−i3i33-3-121+3i321−3i32-1-1−2ζ112ζ11−2ζ72ζ7−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11i−i−ii2ζ11−2ζ11−2ζ72ζ7−2ζ112ζ112ζ7−2ζ7−ζ7ζ7ζ7+4ζ11−ζ7−4ζ11ζ11−ζ11−ζ11ζ11−ζ7−3ζ11ζ7+3ζ11i−iζ7+3ζ11−ζ7−3ζ11−ii4ζ7+ζ11−4ζ7−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7−ii3ζ7+ζ11−3ζ7−ζ11i−i−3ζ7−ζ113ζ7+ζ1100000000000
χ1104-40-22i3−2i3201-2−1+3i32−1−3i32112i−2i003-300−3+i323−i32−3−i323+i32−i3i3i3−i3−i3i3−i3i300−2i32i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i323-3i3−i3-33i3−i3-121−3i321+3i32-1-12ζ11−2ζ112ζ7−2ζ7i−ii−i−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11−2ζ72ζ72ζ11−2ζ112ζ11−2ζ11−2ζ72ζ7ζ11−ζ11ζ11−ζ11−ζ7ζ7−ζ7−4ζ11ζ7+4ζ11i−i−ζ7−3ζ11ζ7+3ζ11−ζ7−3ζ11ζ7+3ζ11i−iζ7−ζ7ζ7−ζ74ζ7+ζ11−4ζ7−ζ11ζ11−ζ113ζ7+ζ11−3ζ7−ζ11−ii−ii3ζ7+ζ11−3ζ7−ζ1100000000000
χ1114-40-22i3−2i3201-2−1+3i32−1−3i32112i−2i003-300−3+i323−i32−3−i323+i32−i3i3i3−i3i3−i3i3−i3002i3−2i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32-33−i3i33-3−i3i3-121−3i321+3i32-1-12ζ11−2ζ112ζ7−2ζ7i−ii−i−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11−2ζ112ζ112ζ7−2ζ72ζ7−2ζ7−2ζ112ζ11ζ11−ζ11ζ11−ζ11ζ7+4ζ11−ζ7−4ζ11ζ7−ζ7ζ7+3ζ11−ζ7−3ζ11−ii−iiζ7+3ζ11−ζ7−3ζ11ζ7−ζ7ζ7−ζ7−ζ11ζ11−4ζ7−ζ114ζ7+ζ11i−i−3ζ7−ζ113ζ7+ζ11−3ζ7−ζ113ζ7+ζ11i−i00000000000
χ1124-40-22i3−2i3201-2−1+3i32−1−3i3211−2i2i003-300−3+i323−i32−3−i323+i32−i3i3i3−i3−i3i3−i3i300−2i32i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i323-3i3−i3-33i3−i3-121−3i321+3i32-1-1−2ζ112ζ11−2ζ72ζ7−ii−ii3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ112ζ7−2ζ7−2ζ112ζ11−2ζ112ζ112ζ7−2ζ7−ζ11ζ11−ζ11ζ11ζ7−ζ7ζ7+4ζ11−ζ7−4ζ11−iiζ7+3ζ11−ζ7−3ζ11ζ7+3ζ11−ζ7−3ζ11−ii−ζ7ζ7−ζ7ζ7−4ζ7−ζ114ζ7+ζ11−ζ11ζ11−3ζ7−ζ113ζ7+ζ11i−ii−i−3ζ7−ζ113ζ7+ζ1100000000000
χ1134-40-22i3−2i3201-2−1+3i32−1−3i3211−2i2i003-300−3+i323−i32−3−i323+i32−i3i3i3−i3i3−i3i3−i3002i3−2i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32-33−i3i33-3−i3i3-121−3i321+3i32-1-1−2ζ112ζ11−2ζ72ζ7−ii−iiζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ112ζ11−2ζ11−2ζ72ζ7−2ζ72ζ72ζ11−2ζ11−ζ11ζ11−ζ11ζ11−ζ7−4ζ11ζ7+4ζ11−ζ7ζ7−ζ7−3ζ11ζ7+3ζ11i−ii−i−ζ7−3ζ11ζ7+3ζ11−ζ7ζ7−ζ7ζ7ζ11−ζ114ζ7+ζ11−4ζ7−ζ11−ii3ζ7+ζ11−3ζ7−ζ113ζ7+ζ11−3ζ7−ζ11−ii00000000000
χ1144-40-22i3−2i32044-2-2-2-22i−2i0000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000-4-422222ζ11−2ζ112ζ7−2ζ7−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2ζ112ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ11−2ζ112ζ112ζ11−2ζ112ζ11−2ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ7−2ζ72ζ72ζ7−2ζ72ζ7−2ζ7−2ζ72ζ700000000000
χ1154-40-22i3−2i32044-2-2-2-2−2i2i0000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000-4-42222−2ζ112ζ11−2ζ72ζ72i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2ζ11−2ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ112ζ11−2ζ11−2ζ112ζ11−2ζ112ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ72ζ7−2ζ7−2ζ72ζ7−2ζ72ζ72ζ7−2ζ700000000000
χ1164-40-22i3−2i320-2111−1−3i32−1+3i322i−2i0000-33−i3i3i3−i33+i32−3−i323−i32−3+i32−2i32i300i3−i3i3−i3i3−i3-33i3−i33-3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i322-1-1-11+3i321−3i322ζ11−2ζ112ζ7−2ζ7−2ζ72ζ7−2ζ112ζ112ζ11−2ζ11−2ζ72ζ73ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ11−iii−ii−iζ7+3ζ11−ζ7−3ζ11−ζ7−3ζ11ζ7+3ζ11i−iζ7−ζ7ζ7+4ζ11−ζ7−4ζ11−ζ11ζ11ζ11−ζ113ζ7+ζ11−3ζ7−ζ11i−i−ii3ζ7+ζ11−3ζ7−ζ11−4ζ7−ζ114ζ7+ζ11−ζ11ζ11−ζ7ζ7ζ7−ζ700000000000
χ1174-40-22i3−2i320-2111−1−3i32−1+3i322i−2i0000-33−i3i3i3−i33+i32−3−i323−i32−3+i322i3−2i300−i3i3−i3i3−i3i33-3−i3i3-333+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i322-1-1-11+3i321−3i322ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ11ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ11−iii−iζ7+3ζ11−ζ7−3ζ11i−i−iiζ7+3ζ11−ζ7−3ζ11−ζ7−4ζ11ζ7+4ζ11−ζ7ζ7−ζ11ζ11ζ11−ζ11i−i3ζ7+ζ11−3ζ7−ζ11−3ζ7−ζ113ζ7+ζ11i−iζ11−ζ114ζ7+ζ11−4ζ7−ζ11−ζ7ζ7ζ7−ζ700000000000
χ1184-40-22i3−2i320-2111−1−3i32−1+3i32−2i2i0000-33−i3i3i3−i33+i32−3−i323−i32−3+i32−2i32i300i3−i3i3−i3i3−i3-33i3−i33-3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i322-1-1-11+3i321−3i32−2ζ112ζ11−2ζ72ζ72ζ7−2ζ72ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11i−i−ii−ii−ζ7−3ζ11ζ7+3ζ11ζ7+3ζ11−ζ7−3ζ11−ii−ζ7ζ7−ζ7−4ζ11ζ7+4ζ11ζ11−ζ11−ζ11ζ11−3ζ7−ζ113ζ7+ζ11−iii−i−3ζ7−ζ113ζ7+ζ114ζ7+ζ11−4ζ7−ζ11ζ11−ζ11ζ7−ζ7−ζ7ζ700000000000
χ1194-40-22i3−2i320-2111−1−3i32−1+3i32−2i2i0000-33−i3i3i3−i33+i32−3−i323−i32−3+i322i3−2i300−i3i3−i3i3−i3i33-3−i3i3-333+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i322-1-1-11+3i321−3i32−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11i−i−ii−ζ7−3ζ11ζ7+3ζ11−iii−i−ζ7−3ζ11ζ7+3ζ11ζ7+4ζ11−ζ7−4ζ11ζ7−ζ7ζ11−ζ11−ζ11ζ11−ii−3ζ7−ζ113ζ7+ζ113ζ7+ζ11−3ζ7−ζ11−ii−ζ11ζ11−4ζ7−ζ114ζ7+ζ11ζ7−ζ7−ζ7ζ700000000000
χ1204-40-22i3−2i320-2111−1+3i32−1−3i322i−2i00003-3−i3i3i3−i3−3+i323−i32−3−i323+i3200−2i32i3−i3i3i3−i3-33i3−i33-3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i322-1-1-11−3i321+3i322ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ11−2ζ11−2ζ72ζ7i−i−ii−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11ζ7+3ζ11−ζ7−3ζ11i−i−ζ7−3ζ11ζ7+3ζ11i−iζ11−ζ11−ζ11ζ11ζ7+4ζ11−ζ7−4ζ11ζ7−ζ7i−i3ζ7+ζ11−3ζ7−ζ11−ii3ζ7+ζ11−3ζ7−ζ11ζ7−ζ7−ζ7ζ7−ζ11ζ11−4ζ7−ζ114ζ7+ζ1100000000000
χ1214-40-22i3−2i320-2111−1+3i32−1−3i322i−2i00003-3−i3i3i3−i3−3+i323−i32−3−i323+i32002i3−2i3i3−i3−i3i33-3−i3i3-33−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i322-1-1-11−3i321+3i322ζ11−2ζ112ζ7−2ζ7−2ζ72ζ7−2ζ112ζ112ζ7−2ζ7−2ζ112ζ11i−i−ii−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11i−iζ7+3ζ11−ζ7−3ζ11−iiζ7+3ζ11−ζ7−3ζ11ζ11−ζ11−ζ11ζ11−ζ7ζ7−ζ7−4ζ11ζ7+4ζ113ζ7+ζ11−3ζ7−ζ11i−i−3ζ7−ζ113ζ7+ζ11i−iζ7−ζ7−ζ7ζ74ζ7+ζ11−4ζ7−ζ11ζ11−ζ1100000000000
χ1224-40-22i3−2i320-2111−1+3i32−1−3i32−2i2i00003-3−i3i3i3−i3−3+i323−i32−3−i323+i3200−2i32i3−i3i3i3−i3-33i3−i33-3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i322-1-1-11−3i321+3i32−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7−2ζ112ζ112ζ7−2ζ7−iii−iζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11−iiζ7+3ζ11−ζ7−3ζ11−ii−ζ11ζ11ζ11−ζ11−ζ7−4ζ11ζ7+4ζ11−ζ7ζ7−ii−3ζ7−ζ113ζ7+ζ11i−i−3ζ7−ζ113ζ7+ζ11−ζ7ζ7ζ7−ζ7ζ11−ζ114ζ7+ζ11−4ζ7−ζ1100000000000
χ1234-40-22i3−2i320-2111−1+3i32−1−3i32−2i2i00003-3−i3i3i3−i3−3+i323−i32−3−i323+i32002i3−2i3i3−i3−i3i33-3−i3i3-33−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i322-1-1-11−3i321+3i32−2ζ112ζ11−2ζ72ζ72ζ7−2ζ72ζ11−2ζ11−2ζ72ζ72ζ11−2ζ11−iii−i3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ11−ii−ζ7−3ζ11ζ7+3ζ11i−i−ζ7−3ζ11ζ7+3ζ11−ζ11ζ11ζ11−ζ11ζ7−ζ7ζ7+4ζ11−ζ7−4ζ11−3ζ7−ζ113ζ7+ζ11−ii3ζ7+ζ11−3ζ7−ζ11−ii−ζ7ζ7ζ7−ζ7−4ζ7−ζ114ζ7+ζ11−ζ11ζ1100000000000

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