Finite Group Databasebeta

← Group #11922816

Character table — Group #11922816

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112466881212121616162424241124668812121216161624242411246688121212161616242424112466881212121616162424241124668812121216161624242411246688121212161616242424
order1242243644466122883612661236121212661262424361266123612121266126242422422466444661228866126612661212126612624246612661266121212661262424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1
χ3111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1
χ4111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11
χ5222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000
χ6222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000
χ722-20-222200000-200022-20-222200000-200022-20-222200000-200022-20-222200000-200022-20-222200000-200022-20-222200000-2000
χ822-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000
χ922-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000
χ103333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-11
χ113333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-1
χ12333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1
χ13333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111
χ144-40000-2202i−2i0000004-40000-2202i−2i0000004-40000-2202i−2i0000004-40000-2202i−2i0000004-40000-2202i−2i0000004-40000-2202i−2i000000
χ154-40000-220−2i2i0000004-40000-220−2i2i0000004-40000-220−2i2i0000004-40000-220−2i2i0000004-40000-220−2i2i0000004-40000-220−2i2i000000
χ1666-602-20000000000066-602-20000000000066-602-20000000000066-602-20000000000066-602-20000000000066-602-200000000000
χ178-800002-20000000008-800002-20000000008-800002-20000000008-800002-20000000008-800002-20000000008-800002-2000000000
χ1811111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ19111111111-1-1111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32111111111-1-1111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ20111-11111-111-1-11-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32111-11111-111-1-11-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ21111-11111-1-1-1-1-111-11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32111-11111-1-1-1-1-111-11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ22222222-1-1200-1-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3001−i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3001+i321+i321+i32000222222-1-1200-1-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3001−i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3001+i321+i321+i32000
χ23222-222-1-1-20011-1000−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i321−i321−i300−1+i32−1+i321−i32000−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i321+i321+i300−1−i32−1−i321+i32000222-222-1-1-20011-1000−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i321−i321−i300−1+i32−1+i321−i32000−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i321+i321+i300−1−i32−1−i321+i32000
χ2422-20-222200000-2000−1+i3−1+i31−i301−i3−1+i3−1+i3−1+i3000001−i3000−1−i3−1−i31+i301+i3−1−i3−1−i3−1−i3000001+i300022-20-222200000-2000−1+i3−1+i31−i301−i3−1+i3−1+i3−1+i3000001−i3000−1−i3−1−i31+i301+i3−1−i3−1−i3−1−i3000001+i3000
χ2522-20-22-1-1000−i3i31000−1+i3−1+i31−i301−i3−1+i31−i321−i320003+i32−3−i32−1+i32000−1−i3−1−i31+i301+i3−1−i31+i321+i32000−3+i323−i32−1−i3200022-20-22-1-1000−i3i31000−1+i3−1+i31−i301−i3−1+i31−i321−i320003+i32−3−i32−1+i32000−1−i3−1−i31+i301+i3−1−i31+i321+i32000−3+i323−i32−1−i32000
χ2622-20-22-1-1000i3−i31000−1+i3−1+i31−i301−i3−1+i31−i321−i32000−3−i323+i32−1+i32000−1−i3−1−i31+i301+i3−1−i31+i321+i320003−i32−3+i32−1−i3200022-20-22-1-1000i3−i31000−1+i3−1+i31−i301−i3−1+i31−i321−i32000−3−i323+i32−1+i32000−1−i3−1−i31+i301+i3−1−i31+i321+i320003−i32−3+i32−1−i32000
χ273333-1-100-111000-1-11−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i32−1+i32−1+i320001−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i32−1−i32−1−i320001+i321+i32−1−i323333-1-100-111000-1-11−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i32−1+i32−1+i320001−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i32−1−i32−1−i320001+i321+i32−1−i32
χ283333-1-100-1-1-100011-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i32000−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i32000−1−i32−1−i321+i323333-1-100-1-1-100011-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i32000−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i32000−1−i32−1−i321+i32
χ29333-3-1-1001110001-1-1−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i32−1+i32−1+i32000−1+i321−i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i32−1−i32−1−i32000−1−i321+i321+i32333-3-1-1001110001-1-1−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i32−1+i32−1+i32000−1+i321−i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i32−1−i32−1−i32000−1−i321+i321+i32
χ30333-3-1-1001-1-1000-111−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i321−i321−i320001−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i321+i321+i320001+i32−1−i32−1−i32333-3-1-1001-1-1000-111−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i321−i321−i320001−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i321+i321+i320001+i32−1−i32−1−i32
χ314-40000-2202i−2i000000−2+2i32−2i300001−i3−1+i302ζ7−2ζ7000000−2−2i32+2i300001+i3−1−i302ζ11−2ζ110000004-40000-2202i−2i000000−2+2i32−2i300001−i3−1+i302ζ7−2ζ7000000−2−2i32+2i300001+i3−1−i302ζ11−2ζ11000000
χ324-40000-220−2i2i000000−2+2i32−2i300001−i3−1+i30−2ζ72ζ7000000−2−2i32+2i300001+i3−1−i30−2ζ112ζ110000004-40000-220−2i2i000000−2+2i32−2i300001−i3−1+i30−2ζ72ζ7000000−2−2i32+2i300001+i3−1−i30−2ζ112ζ11000000
χ3366-602-200000000000−3+3i3−3+3i33−3i30−1+i31−i300000000000−3−3i3−3−3i33+3i30−1−i31+i30000000000066-602-200000000000−3+3i3−3+3i33−3i30−1+i31−i300000000000−3−3i3−3−3i33+3i30−1−i31+i300000000000
χ348-800002-2000000000−4+4i34−4i30000−1+i31−i3000000000−4−4i34+4i30000−1−i31+i30000000008-800002-2000000000−4+4i34−4i30000−1+i31−i3000000000−4−4i34+4i30000−1−i31+i3000000000
χ3511111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ36111111111-1-1111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32111111111-1-1111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32
χ37111-11111-111-1-11-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32111-11111-111-1-11-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ38111-11111-1-1-1-1-111-11−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32111-11111-1-1-1-1-111-11−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ39222222-1-1200-1-1-1000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3001+i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3001−i321−i321−i32000222222-1-1200-1-1-1000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3001+i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3001−i321−i321−i32000
χ40222-222-1-1-20011-1000−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i321+i321+i300−1−i32−1−i321+i32000−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i321−i321−i300−1+i32−1+i321−i32000222-222-1-1-20011-1000−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i321+i321+i300−1−i32−1−i321+i32000−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i321−i321−i300−1+i32−1+i321−i32000
χ4122-20-222200000-2000−1−i3−1−i31+i301+i3−1−i3−1−i3−1−i3000001+i3000−1+i3−1+i31−i301−i3−1+i3−1+i3−1+i3000001−i300022-20-222200000-2000−1−i3−1−i31+i301+i3−1−i3−1−i3−1−i3000001+i3000−1+i3−1+i31−i301−i3−1+i3−1+i3−1+i3000001−i3000
χ4222-20-22-1-1000−i3i31000−1−i3−1−i31+i301+i3−1−i31+i321+i32000−3+i323−i32−1−i32000−1+i3−1+i31−i301−i3−1+i31−i321−i320003+i32−3−i32−1+i3200022-20-22-1-1000−i3i31000−1−i3−1−i31+i301+i3−1−i31+i321+i32000−3+i323−i32−1−i32000−1+i3−1+i31−i301−i3−1+i31−i321−i320003+i32−3−i32−1+i32000
χ4322-20-22-1-1000i3−i31000−1−i3−1−i31+i301+i3−1−i31+i321+i320003−i32−3+i32−1−i32000−1+i3−1+i31−i301−i3−1+i31−i321−i32000−3−i323+i32−1+i3200022-20-22-1-1000i3−i31000−1−i3−1−i31+i301+i3−1−i31+i321+i320003−i32−3+i32−1−i32000−1+i3−1+i31−i301−i3−1+i31−i321−i32000−3−i323+i32−1+i32000
χ443333-1-100-111000-1-11−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i32−1−i32−1−i320001+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i32−1+i32−1+i320001−i321−i32−1+i323333-1-100-111000-1-11−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i32−1−i32−1−i320001+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i32−1+i32−1+i320001−i321−i32−1+i32
χ453333-1-100-1-1-100011-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i32000−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i32000−1+i32−1+i321−i323333-1-100-1-1-100011-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i32000−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i32000−1+i32−1+i321−i32
χ46333-3-1-1001110001-1-1−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i32−1−i32−1−i32000−1−i321+i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i32−1+i32−1+i32000−1+i321−i321−i32333-3-1-1001110001-1-1−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i32−1−i32−1−i32000−1−i321+i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i32−1+i32−1+i32000−1+i321−i321−i32
χ47333-3-1-1001-1-1000-111−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i321+i321+i320001+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i321−i321−i320001−i32−1+i32−1+i32333-3-1-1001-1-1000-111−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i321+i321+i320001+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i321−i321−i320001−i32−1+i32−1+i32
χ484-40000-2202i−2i000000−2−2i32+2i300001+i3−1−i302ζ11−2ζ11000000−2+2i32−2i300001−i3−1+i302ζ7−2ζ70000004-40000-2202i−2i000000−2−2i32+2i300001+i3−1−i302ζ11−2ζ11000000−2+2i32−2i300001−i3−1+i302ζ7−2ζ7000000
χ494-40000-220−2i2i000000−2−2i32+2i300001+i3−1−i30−2ζ112ζ11000000−2+2i32−2i300001−i3−1+i30−2ζ72ζ70000004-40000-220−2i2i000000−2−2i32+2i300001+i3−1−i30−2ζ112ζ11000000−2+2i32−2i300001−i3−1+i30−2ζ72ζ7000000
χ5066-602-200000000000−3−3i3−3−3i33+3i30−1−i31+i300000000000−3+3i3−3+3i33−3i30−1+i31−i30000000000066-602-200000000000−3−3i3−3−3i33+3i30−1−i31+i300000000000−3+3i3−3+3i33−3i30−1+i31−i300000000000
χ518-800002-2000000000−4−4i34+4i30000−1−i31+i3000000000−4+4i34−4i30000−1+i31−i30000000008-800002-2000000000−4−4i34+4i30000−1−i31+i3000000000−4+4i34−4i30000−1+i31−i3000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1111
χ54111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1-1-1-11-1-1-1-11-1-111-11-11-1-1-11-1-1-1-11-1-111-11-11-1-1-11-1-1-1-11-1-111-11-11
χ55111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11-1-1-11-1-1-1-111111-1-11-1-1-1-11-1-1-1-111111-1-11-1-1-1-11-1-1-1-111111-1-11-1
χ56222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000-2-2-2-2-2-211-200111000-2-2-2-2-2-211-200111000-2-2-2-2-2-211-200111000
χ57222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000-2-2-22-2-211200-1-11000-2-2-22-2-211200-1-11000-2-2-22-2-211200-1-11000
χ5822-20-222200000-200022-20-222200000-200022-20-222200000-2000-2-2202-2-2-2000002000-2-2202-2-2-2000002000-2-2202-2-2-2000002000
χ5922-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000-2-2202-211000i3−i3-1000-2-2202-211000i3−i3-1000-2-2202-211000i3−i3-1000
χ6022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000-2-2202-211000−i3i3-1000-2-2202-211000−i3i3-1000-2-2202-211000−i3i3-1000
χ613333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-11-3-3-3-311001-1-100011-1-3-3-3-311001-1-100011-1-3-3-3-311001-1-100011-1
χ623333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-1-3-3-3-31100111000-1-11-3-3-3-31100111000-1-11-3-3-3-31100111000-1-11
χ63333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1-3-3-331100-1-1-1000-111-3-3-331100-1-1-1000-111-3-3-331100-1-1-1000-111
χ64333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111-3-3-331100-1110001-1-1-3-3-331100-1110001-1-1-3-3-331100-1110001-1-1
χ654-40000-2202i−2i0000004-40000-2202i−2i0000004-40000-2202i−2i000000-4400002-20−2i2i000000-4400002-20−2i2i000000-4400002-20−2i2i000000
χ664-40000-220−2i2i0000004-40000-220−2i2i0000004-40000-220−2i2i000000-4400002-202i−2i000000-4400002-202i−2i000000-4400002-202i−2i000000
χ6766-602-20000000000066-602-20000000000066-602-200000000000-6-660-2200000000000-6-660-2200000000000-6-660-2200000000000
χ688-800002-20000000008-800002-20000000008-800002-2000000000-880000-22000000000-880000-22000000000-880000-22000000000
χ6911111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ70111111111-1-1111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32-1-1-1-1-1-1-1-1-111-1-1-11111−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32
χ71111-11111-111-1-11-11-1−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32-1-1-11-1-1-1-11-1-111-11-111−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ72111-11111-1-1-1-1-111-11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32-1-1-11-1-1-1-111111-1-11-11−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ73222222-1-1200-1-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3001−i321−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3001+i321+i321+i32000-2-2-2-2-2-211-2001110001−i31−i31−i31−i31−i31−i3−1+i32−1+i321−i300−1+i32−1+i32−1+i320001+i31+i31+i31+i31+i31+i3−1−i32−1−i321+i300−1−i32−1−i32−1−i32000
χ74222-222-1-1-20011-1000−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i321−i321−i300−1+i32−1+i321−i32000−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i321+i321+i300−1−i32−1−i321+i32000-2-2-22-2-211200-1-110001−i31−i31−i3−1+i31−i31−i3−1+i32−1+i32−1+i3001−i321−i32−1+i320001+i31+i31+i3−1−i31+i31+i3−1−i32−1−i32−1−i3001+i321+i32−1−i32000
χ7522-20-222200000-2000−1+i3−1+i31−i301−i3−1+i3−1+i3−1+i3000001−i3000−1−i3−1−i31+i301+i3−1−i3−1−i3−1−i3000001+i3000-2-2202-2-2-20000020001−i31−i3−1+i30−1+i31−i31−i31−i300000−1+i30001+i31+i3−1−i30−1−i31+i31+i31+i300000−1−i3000
χ7622-20-22-1-1000−i3i31000−1+i3−1+i31−i301−i3−1+i31−i321−i320003+i32−3−i32−1+i32000−1−i3−1−i31+i301+i3−1−i31+i321+i32000−3+i323−i32−1−i32000-2-2202-211000i3−i3-10001−i31−i3−1+i30−1+i31−i3−1+i32−1+i32000−3−i323+i321−i320001+i31+i3−1−i30−1−i31+i3−1−i32−1−i320003−i32−3+i321+i32000
χ7722-20-22-1-1000i3−i31000−1+i3−1+i31−i301−i3−1+i31−i321−i32000−3−i323+i32−1+i32000−1−i3−1−i31+i301+i3−1−i31+i321+i320003−i32−3+i32−1−i32000-2-2202-211000−i3i3-10001−i31−i3−1+i30−1+i31−i3−1+i32−1+i320003+i32−3−i321−i320001+i31+i3−1−i30−1−i31+i3−1−i32−1−i32000−3+i323−i321+i32000
χ783333-1-100-111000-1-11−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i32−1+i32−1+i320001−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i32−1−i32−1−i320001+i321+i32−1−i32-3-3-3-311001-1-100011-13−3i323−3i323−3i323−3i32−1+i32−1+i3200−1+i321−i321−i32000−1+i32−1+i321−i323+3i323+3i323+3i323+3i32−1−i32−1−i3200−1−i321+i321+i32000−1−i32−1−i321+i32
χ793333-1-100-1-1-100011-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i32000−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i32000−1−i32−1−i321+i32-3-3-3-31100111000-1-113−3i323−3i323−3i323−3i32−1+i32−1+i3200−1+i32−1+i32−1+i320001−i321−i32−1+i323+3i323+3i323+3i323+3i32−1−i32−1−i3200−1−i32−1−i32−1−i320001+i321+i32−1−i32
χ80333-3-1-1001110001-1-1−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i32−1+i32−1+i32000−1+i321−i321−i32−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i32−1−i32−1−i32000−1−i321+i321+i32-3-3-331100-1-1-1000-1113−3i323−3i323−3i32−3+3i32−1+i32−1+i32001−i321−i321−i320001−i32−1+i32−1+i323+3i323+3i323+3i32−3−3i32−1−i32−1−i32001+i321+i321+i320001+i32−1−i32−1−i32
χ81333-3-1-1001-1-1000-111−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i321−i321−i320001−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i321+i321+i320001+i32−1−i32−1−i32-3-3-331100-1110001-1-13−3i323−3i323−3i32−3+3i32−1+i32−1+i32001−i32−1+i32−1+i32000−1+i321−i321−i323+3i323+3i323+3i32−3−3i32−1−i32−1−i32001+i32−1−i32−1−i32000−1−i321+i321+i32
χ824-40000-2202i−2i000000−2+2i32−2i300001−i3−1+i302ζ7−2ζ7000000−2−2i32+2i300001+i3−1−i302ζ11−2ζ11000000-4400002-20−2i2i0000002−2i3−2+2i30000−1+i31−i30−2ζ72ζ70000002+2i3−2−2i30000−1−i31+i30−2ζ112ζ11000000
χ834-40000-220−2i2i000000−2+2i32−2i300001−i3−1+i30−2ζ72ζ7000000−2−2i32+2i300001+i3−1−i30−2ζ112ζ11000000-4400002-202i−2i0000002−2i3−2+2i30000−1+i31−i302ζ7−2ζ70000002+2i3−2−2i30000−1−i31+i302ζ11−2ζ11000000
χ8466-602-200000000000−3+3i3−3+3i33−3i30−1+i31−i300000000000−3−3i3−3−3i33+3i30−1−i31+i300000000000-6-660-22000000000003−3i33−3i3−3+3i301−i3−1+i3000000000003+3i33+3i3−3−3i301+i3−1−i300000000000
χ858-800002-2000000000−4+4i34−4i30000−1+i31−i3000000000−4−4i34+4i30000−1−i31+i3000000000-880000-220000000004−4i3−4+4i300001−i3−1+i30000000004+4i3−4−4i300001+i3−1−i3000000000
χ8611111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ87111111111-1-1111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32-1-1-1-1-1-1-1-1-111-1-1-11111+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32
χ88111-11111-111-1-11-11-1−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32-1-1-11-1-1-1-11-1-111-11-111+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ89111-11111-1-1-1-1-111-11−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32-1-1-11-1-1-1-111111-1-11-11+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ90222222-1-1200-1-1-1000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i3001+i321+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i3001−i321−i321−i32000-2-2-2-2-2-211-2001110001+i31+i31+i31+i31+i31+i3−1−i32−1−i321+i300−1−i32−1−i32−1−i320001−i31−i31−i31−i31−i31−i3−1+i32−1+i321−i300−1+i32−1+i32−1+i32000
χ91222-222-1-1-20011-1000−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i321+i321+i300−1−i32−1−i321+i32000−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i321−i321−i300−1+i32−1+i321−i32000-2-2-22-2-211200-1-110001+i31+i31+i3−1−i31+i31+i3−1−i32−1−i32−1−i3001+i321+i32−1−i320001−i31−i31−i3−1+i31−i31−i3−1+i32−1+i32−1+i3001−i321−i32−1+i32000
χ9222-20-222200000-2000−1−i3−1−i31+i301+i3−1−i3−1−i3−1−i3000001+i3000−1+i3−1+i31−i301−i3−1+i3−1+i3−1+i3000001−i3000-2-2202-2-2-20000020001+i31+i3−1−i30−1−i31+i31+i31+i300000−1−i30001−i31−i3−1+i30−1+i31−i31−i31−i300000−1+i3000
χ9322-20-22-1-1000−i3i31000−1−i3−1−i31+i301+i3−1−i31+i321+i32000−3+i323−i32−1−i32000−1+i3−1+i31−i301−i3−1+i31−i321−i320003+i32−3−i32−1+i32000-2-2202-211000i3−i3-10001+i31+i3−1−i30−1−i31+i3−1−i32−1−i320003−i32−3+i321+i320001−i31−i3−1+i30−1+i31−i3−1+i32−1+i32000−3−i323+i321−i32000
χ9422-20-22-1-1000i3−i31000−1−i3−1−i31+i301+i3−1−i31+i321+i320003−i32−3+i32−1−i32000−1+i3−1+i31−i301−i3−1+i31−i321−i32000−3−i323+i32−1+i32000-2-2202-211000−i3i3-10001+i31+i3−1−i30−1−i31+i3−1−i32−1−i32000−3+i323−i321+i320001−i31−i3−1+i30−1+i31−i3−1+i32−1+i320003+i32−3−i321−i32000
χ953333-1-100-111000-1-11−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i32−1−i32−1−i320001+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i32−1+i32−1+i320001−i321−i32−1+i32-3-3-3-311001-1-100011-13+3i323+3i323+3i323+3i32−1−i32−1−i3200−1−i321+i321+i32000−1−i32−1−i321+i323−3i323−3i323−3i323−3i32−1+i32−1+i3200−1+i321−i321−i32000−1+i32−1+i321−i32
χ963333-1-100-1-1-100011-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i32000−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i32000−1+i32−1+i321−i32-3-3-3-31100111000-1-113+3i323+3i323+3i323+3i32−1−i32−1−i3200−1−i32−1−i32−1−i320001+i321+i32−1−i323−3i323−3i323−3i323−3i32−1+i32−1+i3200−1+i32−1+i32−1+i320001−i321−i32−1+i32
χ97333-3-1-1001110001-1-1−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i32−1−i32−1−i32000−1−i321+i321+i32−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i32−1+i32−1+i32000−1+i321−i321−i32-3-3-331100-1-1-1000-1113+3i323+3i323+3i32−3−3i32−1−i32−1−i32001+i321+i321+i320001+i32−1−i32−1−i323−3i323−3i323−3i32−3+3i32−1+i32−1+i32001−i321−i321−i320001−i32−1+i32−1+i32
χ98333-3-1-1001-1-1000-111−3−3i32−3−3i32−3−3i323+3i321+i321+i3200−1−i321+i321+i320001+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i323−3i321−i321−i3200−1+i321−i321−i320001−i32−1+i32−1+i32-3-3-331100-1110001-1-13+3i323+3i323+3i32−3−3i32−1−i32−1−i32001+i32−1−i32−1−i32000−1−i321+i321+i323−3i323−3i323−3i32−3+3i32−1+i32−1+i32001−i32−1+i32−1+i32000−1+i321−i321−i32
χ994-40000-2202i−2i000000−2−2i32+2i300001+i3−1−i302ζ11−2ζ11000000−2+2i32−2i300001−i3−1+i302ζ7−2ζ7000000-4400002-20−2i2i0000002+2i3−2−2i30000−1−i31+i30−2ζ112ζ110000002−2i3−2+2i30000−1+i31−i30−2ζ72ζ7000000
χ1004-40000-220−2i2i000000−2−2i32+2i300001+i3−1−i30−2ζ112ζ11000000−2+2i32−2i300001−i3−1+i30−2ζ72ζ7000000-4400002-202i−2i0000002+2i3−2−2i30000−1−i31+i302ζ11−2ζ110000002−2i3−2+2i30000−1+i31−i302ζ7−2ζ7000000
χ10166-602-200000000000−3−3i3−3−3i33+3i30−1−i31+i300000000000−3+3i3−3+3i33−3i30−1+i31−i300000000000-6-660-22000000000003+3i33+3i3−3−3i301+i3−1−i3000000000003−3i33−3i3−3+3i301−i3−1+i300000000000
χ1028-800002-2000000000−4−4i34+4i30000−1−i31+i3000000000−4+4i34−4i30000−1+i31−i3000000000-880000-220000000004+4i3−4−4i300001+i3−1−i30000000004−4i3−4+4i300001−i3−1+i3000000000

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