Finite Group Databasebeta

← Group #11922671

Character table — Group #11922671

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122446688881212121212121212121616161616162424242424111122446688881212121212121212121616161616162424242424111122446688881212121212121212121616161616162424242424
order122244244436662224488886612121212244883666121261212123666666121224242424661212121261212242436661212612121236666661212242424246612121212612122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-111-1-1-1-1111111-1-1-1-1-1111111111111111-1-111-1-1-1-1111111-1-1-1-1-1111111111111111-1-111-1-1-1-1111111-1-1-1-1-1
χ3111111-1-1111111-1111-11111-1-111-1-1-11-1-1-1111111-1-1111111-1111-11111-1-111-1-1-11-1-1-1111111-1-1111111-1111-11111-1-111-1-1-11-1-1-1
χ4111111-1-1111111-1-1-11-1-1-1-1-1-1-111-1-11-1111111111-1-1111111-1-1-11-1-1-1-1-1-1-111-1-11-1111111111-1-1111111-1-1-11-1-1-1-1-1-1-111-1-11-1111
χ51111-1-11-1111111-111-11-1-11111-1-1-1-1-1-111-11111-1-11-1111111-111-11-1-11111-1-1-1-1-1-111-11111-1-11-1111111-111-11-1-11111-1-1-1-1-1-111-1
χ61111-1-11-1111111-1-1-1-1111-1-111-1-1-1-111-1-111111-1-11-1111111-1-1-1-1111-1-111-1-1-1-111-1-111111-1-11-1111111-1-1-1-1111-1-111-1-1-1-111-1-11
χ71111-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1-111111-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1-111111-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1-11
χ81111-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1111-11111-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1111-11111-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1111-1
χ92222222222-1-1-1-1200220000-1-1-1-1-1-1000002222222222-1-1-1-1200220000-1-1-1-1-1-1000002222222222-1-1-1-1200220000-1-1-1-1-1-100000
χ10222222-2-222-1-1-1-1-2002-2000011-1-11100000222222-2-222-1-1-1-1-2002-2000011-1-11100000222222-2-222-1-1-1-1-2002-2000011-1-11100000
χ112222-2-22-222-1-1-1-1-200-220000-1-11111000002222-2-22-222-1-1-1-1-200-220000-1-11111000002222-2-22-222-1-1-1-1-200-220000-1-1111100000
χ122222-2-2-2222-1-1-1-1200-2-200001111-1-1000002222-2-2-2222-1-1-1-1200-2-200001111-1-1000002222-2-2-2222-1-1-1-1200-2-200001111-1-100000
χ132-2-220000-222-22-202-200002-2000000000002-2-220000-222-22-202-200002-2000000000002-2-220000-222-22-202-200002-200000000000
χ142-2-220000-222-22-20-220000-22000000000002-2-220000-222-22-20-220000-22000000000002-2-220000-222-22-20-220000-2200000000000
χ1533333333-1-10000-111-1-1-1-1-1-1000000111-1-133333333-1-10000-111-1-1-1-1-1-1000000111-1-133333333-1-10000-111-1-1-1-1-1-1000000111-1-1
χ1633333333-1-10000-1-1-1-1-11111000000-1-1-11133333333-1-10000-1-1-1-1-11111000000-1-1-11133333333-1-10000-1-1-1-1-11111000000-1-1-111
χ17333333-3-3-1-10000111-11-1-1-1-1000000-11-111333333-3-3-1-10000111-11-1-1-1-1000000-11-111333333-3-3-1-10000111-11-1-1-1-1000000-11-111
χ18333333-3-3-1-100001-1-1-1111110000001-11-1-1333333-3-3-1-100001-1-1-1111110000001-11-1-1333333-3-3-1-100001-1-1-1111110000001-11-1-1
χ193333-3-33-3-1-100001111-111-1-1000000-1-11-113333-3-33-3-1-100001111-111-1-1000000-1-11-113333-3-33-3-1-100001111-111-1-1000000-1-11-11
χ203333-3-33-3-1-100001-1-11-1-1-11100000011-11-13333-3-33-3-1-100001-1-11-1-1-11100000011-11-13333-3-33-3-1-100001-1-11-1-1-11100000011-11-1
χ213333-3-3-33-1-10000-1111111-1-10000001-1-11-13333-3-3-33-1-10000-1111111-1-10000001-1-11-13333-3-3-33-1-10000-1111111-1-10000001-1-11-1
χ223333-3-3-33-1-10000-1-1-111-1-111000000-111-113333-3-3-33-1-10000-1-1-111-1-111000000-111-113333-3-3-33-1-10000-1-1-111-1-111000000-111-11
χ2344-4-44i−4i000011-1-1000000000−i3i3i−i3−30000044-4-44i−4i000011-1-1000000000−i3i3i−i3−30000044-4-44i−4i000011-1-1000000000−i3i3i−i3−300000
χ2444-4-44i−4i000011-1-1000000000i3−i3i−i−330000044-4-44i−4i000011-1-1000000000i3−i3i−i−330000044-4-44i−4i000011-1-1000000000i3−i3i−i−3300000
χ2544-4-44i−4i0000-2-22200000000000−2i2i000000044-4-44i−4i0000-2-22200000000000−2i2i000000044-4-44i−4i0000-2-22200000000000−2i2i0000000
χ2644-4-4−4i4i000011-1-1000000000−i3i3−ii−330000044-4-4−4i4i000011-1-1000000000−i3i3−ii−330000044-4-4−4i4i000011-1-1000000000−i3i3−ii−3300000
χ2744-4-4−4i4i000011-1-1000000000i3−i3−ii3−30000044-4-4−4i4i000011-1-1000000000i3−i3−ii3−30000044-4-4−4i4i000011-1-1000000000i3−i3−ii3−300000
χ2844-4-4−4i4i0000-2-222000000000002i−2i000000044-4-4−4i4i0000-2-222000000000002i−2i000000044-4-4−4i4i0000-2-222000000000002i−2i0000000
χ294-44-4000000-222-200000−2i22i200000000000004-44-4000000-222-200000−2i22i200000000000004-44-4000000-222-200000−2i22i20000000000000
χ304-44-4000000-222-2000002i2−2i200000000000004-44-4000000-222-2000002i2−2i200000000000004-44-4000000-222-2000002i2−2i20000000000000
χ314-4-440000-44-22-22000000000000000000004-4-440000-44-22-22000000000000000000004-4-440000-44-22-2200000000000000000000
χ326-6-6600002-2000002-20000-22000000000006-6-6600002-2000002-20000-22000000000006-6-6600002-2000002-20000-2200000000000
χ336-6-6600002-200000-2200002-2000000000006-6-6600002-200000-2200002-2000000000006-6-6600002-200000-2200002-200000000000
χ348-88-80000002-2-22000000000000000000008-88-80000002-2-22000000000000000000008-88-80000002-2-2200000000000000000000
χ351111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ36111111111111111-1-111-1-1-1-1111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ37111111-1-1111111-1111-11111-1-111-1-1-11-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32
χ38111111-1-1111111-1-1-11-1-1-1-1-1-1-111-1-11-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32
χ391111-1-11-1111111-111-11-1-11111-1-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ401111-1-11-1111111-1-1-1-1111-1-111-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ411111-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1-11−1+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ421111-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1111-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ432222222222-1-1-1-1200220000-1-1-1-1-1-100000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i300−1+i3−1+i300001−i321−i321−i321−i321−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i300−1−i3−1−i300001+i321+i321+i321+i321+i321+i3200000
χ44222222-2-222-1-1-1-1-2002-2000011-1-11100000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i300−1+i31−i30000−1+i32−1+i321−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i300−1−i31+i30000−1−i32−1−i321+i321+i32−1−i32−1−i3200000
χ452222-2-22-222-1-1-1-1-200-220000-1-1111100000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i321−i321−i321−i321−i3001−i3−1+i300001−i321−i32−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i321+i321+i321+i321+i3001+i3−1−i300001+i321+i32−1−i32−1−i32−1−i32−1−i3200000
χ462222-2-2-2222-1-1-1-1200-2-200001111-1-100000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3001−i31−i30000−1+i32−1+i32−1+i32−1+i321−i321−i3200000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3001+i31+i30000−1−i32−1−i32−1−i32−1−i321+i321+i3200000
χ472-2-220000-222-22-202-200002-200000000000−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i3−1+i31−i30−1+i31−i30000−1+i31−i300000000000−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i3−1−i31+i30−1−i31+i30000−1−i31+i300000000000
χ482-2-220000-222-22-20-220000-2200000000000−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i3−1+i31−i301−i3−1+i300001−i3−1+i300000000000−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i3−1−i31+i301+i3−1−i300001+i3−1−i300000000000
χ4933333333-1-10000-111-1-1-1-1-1-1000000111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i321+i321+i32
χ5033333333-1-10000-1-1-1-1-11111000000-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i32−1−i32−1−i32
χ51333333-3-3-1-10000111-11-1-1-1-1000000-11-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i320000001−i32−1+i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i320000001+i32−1−i321+i32−1−i32−1−i32
χ52333333-3-3-1-100001-1-1-1111110000001-11-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i320000−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−1+i321−i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i320000−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1−i321+i32−1−i321+i321+i32
χ533333-3-33-3-1-100001111-111-1-1000000-1-11-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000001−i321−i32−1+i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000001+i321+i32−1−i321+i32−1−i32
χ543333-3-33-3-1-100001-1-11-1-1-11100000011-11-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i320000−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32000000−1+i32−1+i321−i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i320000−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32000000−1−i32−1−i321+i32−1−i321+i32
χ553333-3-3-33-1-10000-1111111-1-10000001-1-11-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i3200001−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1+i321−i321−i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i3200001+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1−i321+i321+i32−1−i321+i32
χ563333-3-3-33-1-10000-1-1-111-1-111000000-111-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i3200001−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i3200001+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i32−1−i32
χ5744-4-44i−4i000011-1-1000000000−i3i3i−i3−300000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ140000−1+i32−1+i321−i321−i320000000003+i32−3−i32ζ14−ζ14−ζ14−2ζ22ζ14+2ζ2200000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ220000−1−i32−1−i321+i321+i32000000000−3+i323−i32ζ22−ζ222ζ14+ζ22−2ζ14−ζ2200000
χ5844-4-44i−4i000011-1-1000000000i3−i3i−i−3300000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ140000−1+i32−1+i321−i321−i32000000000−3−i323+i32ζ14−ζ14ζ14+2ζ22−ζ14−2ζ2200000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ220000−1−i32−1−i321+i321+i320000000003−i32−3+i32ζ22−ζ22−2ζ14−ζ222ζ14+ζ2200000
χ5944-4-44i−4i0000-2-22200000000000−2i2i0000000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ1400001−i31−i3−1+i3−1+i300000000000−2ζ142ζ140000000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ2200001+i31+i3−1−i3−1−i300000000000−2ζ222ζ220000000
χ6044-4-4−4i4i000011-1-1000000000−i3i3−ii−3300000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ140000−1+i32−1+i321−i321−i320000000003+i32−3−i32−ζ14ζ14ζ14+2ζ22−ζ14−2ζ2200000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ220000−1−i32−1−i321+i321+i32000000000−3+i323−i32−ζ22ζ22−2ζ14−ζ222ζ14+ζ2200000
χ6144-4-4−4i4i000011-1-1000000000i3−i3−ii3−300000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ140000−1+i32−1+i321−i321−i32000000000−3−i323+i32−ζ14ζ14−ζ14−2ζ22ζ14+2ζ2200000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ220000−1−i32−1−i321+i321+i320000000003−i32−3+i32−ζ22ζ222ζ14+ζ22−2ζ14−ζ2200000
χ6244-4-4−4i4i0000-2-222000000000002i−2i0000000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ1400001−i31−i3−1+i3−1+i3000000000002ζ14−2ζ140000000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ2200001+i31+i3−1−i3−1−i3000000000002ζ22−2ζ220000000
χ634-44-4000000-222-200000−2i22i20000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i3−1+i31−i3000002ζ5+2ζ23−2ζ5−2ζ230000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i3−1−i31+i3000002ζ7+2ζ13−2ζ7−2ζ130000000000000
χ644-44-4000000-222-2000002i2−2i20000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i3−1+i31−i300000−2ζ5−2ζ232ζ5+2ζ230000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i3−1−i31+i300000−2ζ7−2ζ132ζ7+2ζ130000000000000
χ654-4-440000-44-22-2200000000000000000000−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i31−i3−1+i31−i3−1+i300000000000000000000−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i31+i3−1−i31+i3−1−i300000000000000000000
χ666-6-6600002-2000002-20000-2200000000000−3+3i33−3i33−3i3−3+3i30000−1+i31−i300000−1+i31−i300001−i3−1+i300000000000−3−3i33+3i33+3i3−3−3i30000−1−i31+i300000−1−i31+i300001+i3−1−i300000000000
χ676-6-6600002-200000-2200002-200000000000−3+3i33−3i33−3i3−3+3i30000−1+i31−i3000001−i3−1+i30000−1+i31−i300000000000−3−3i33+3i33+3i3−3−3i30000−1−i31+i3000001+i3−1−i30000−1−i31+i300000000000
χ688-88-80000002-2-2200000000000000000000−4+4i34−4i3−4+4i34−4i3000000−1+i31−i31−i3−1+i300000000000000000000−4−4i34+4i3−4−4i34+4i3000000−1−i31+i31+i3−1−i300000000000000000000
χ691111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ70111111111111111-1-111-1-1-1-1111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ71111111-1-1111111-1111-11111-1-111-1-1-11-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32
χ72111111-1-1111111-1-1-11-1-1-1-1-1-1-111-1-11-1111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−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+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32
χ731111-1-11-1111111-111-11-1-11111-1-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ741111-1-11-1111111-1-1-1-1111-1-111-1-1-1-111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ751111-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1-11−1−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ761111-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1111-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ772222222222-1-1-1-1200220000-1-1-1-1-1-100000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i300−1−i3−1−i300001+i321+i321+i321+i321+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i300−1+i3−1+i300001−i321−i321−i321−i321−i321−i3200000
χ78222222-2-222-1-1-1-1-2002-2000011-1-11100000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i300−1−i31+i30000−1−i32−1−i321+i321+i32−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i300−1+i31−i30000−1+i32−1+i321−i321−i32−1+i32−1+i3200000
χ792222-2-22-222-1-1-1-1-200-220000-1-1111100000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i321+i321+i321+i321+i3001+i3−1−i300001+i321+i32−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i321−i321−i321−i321−i3001−i3−1+i300001−i321−i32−1+i32−1+i32−1+i32−1+i3200000
χ802222-2-2-2222-1-1-1-1200-2-200001111-1-100000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3001+i31+i30000−1−i32−1−i32−1−i32−1−i321+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3001−i31−i30000−1+i32−1+i32−1+i32−1+i321−i321−i3200000
χ812-2-220000-222-22-202-200002-200000000000−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i3−1−i31+i30−1−i31+i30000−1−i31+i300000000000−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i3−1+i31−i30−1+i31−i30000−1+i31−i300000000000
χ822-2-220000-222-22-20-220000-2200000000000−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i3−1−i31+i301+i3−1−i300001+i3−1−i300000000000−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i3−1+i31−i301−i3−1+i300001−i3−1+i300000000000
χ8333333333-1-10000-111-1-1-1-1-1-1000000111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i321−i321−i32
χ8433333333-1-10000-1-1-1-1-11111000000-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i32−1+i32−1+i32
χ85333333-3-3-1-10000111-11-1-1-1-1000000-11-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i320000001+i32−1−i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i320000001−i32−1+i321−i32−1+i32−1+i32
χ86333333-3-3-1-100001-1-1-1111110000001-11-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i320000−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1−i321+i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i320000−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−1+i321−i32−1+i321−i321−i32
χ873333-3-33-3-1-100001111-111-1-1000000-1-11-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000001+i321+i32−1−i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000001−i321−i32−1+i321−i32−1+i32
χ883333-3-33-3-1-100001-1-11-1-1-11100000011-11-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i320000−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32000000−1−i32−1−i321+i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i320000−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32000000−1+i32−1+i321−i32−1+i321−i32
χ893333-3-3-33-1-10000-1111111-1-10000001-1-11-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i3200001+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1−i321+i321+i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i3200001−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1+i321−i321−i32−1+i321−i32
χ903333-3-3-33-1-10000-1-1-111-1-111000000-111-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i3200001+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i3200001−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i32−1+i32
χ9144-4-44i−4i000011-1-1000000000−i3i3i−i3−300000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ220000−1−i32−1−i321+i321+i32000000000−3+i323−i32ζ22−ζ222ζ14+ζ22−2ζ14−ζ2200000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ140000−1+i32−1+i321−i321−i320000000003+i32−3−i32ζ14−ζ14−ζ14−2ζ22ζ14+2ζ2200000
χ9244-4-44i−4i000011-1-1000000000i3−i3i−i−3300000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ220000−1−i32−1−i321+i321+i320000000003−i32−3+i32ζ22−ζ22−2ζ14−ζ222ζ14+ζ2200000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ140000−1+i32−1+i321−i321−i32000000000−3−i323+i32ζ14−ζ14ζ14+2ζ22−ζ14−2ζ2200000
χ9344-4-44i−4i0000-2-22200000000000−2i2i0000000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ2200001+i31+i3−1−i3−1−i300000000000−2ζ222ζ220000000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ1400001−i31−i3−1+i3−1+i300000000000−2ζ142ζ140000000
χ9444-4-4−4i4i000011-1-1000000000−i3i3−ii−3300000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ220000−1−i32−1−i321+i321+i32000000000−3+i323−i32−ζ22ζ22−2ζ14−ζ222ζ14+ζ2200000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ140000−1+i32−1+i321−i321−i320000000003+i32−3−i32−ζ14ζ14ζ14+2ζ22−ζ14−2ζ2200000
χ9544-4-4−4i4i000011-1-1000000000i3−i3−ii3−300000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ220000−1−i32−1−i321+i321+i320000000003−i32−3+i32−ζ22ζ222ζ14+ζ22−2ζ14−ζ2200000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ140000−1+i32−1+i321−i321−i32000000000−3−i323+i32−ζ14ζ14−ζ14−2ζ22ζ14+2ζ2200000
χ9644-4-4−4i4i0000-2-222000000000002i−2i0000000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ2200001+i31+i3−1−i3−1−i3000000000002ζ22−2ζ220000000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ1400001−i31−i3−1+i3−1+i3000000000002ζ14−2ζ140000000
χ974-44-4000000-222-200000−2i22i20000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i3−1−i31+i3000002ζ7+2ζ13−2ζ7−2ζ130000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i3−1+i31−i3000002ζ5+2ζ23−2ζ5−2ζ230000000000000
χ984-44-4000000-222-2000002i2−2i20000000000000−2−2i32+2i3−2−2i32+2i30000001+i3−1−i3−1−i31+i300000−2ζ7−2ζ132ζ7+2ζ130000000000000−2+2i32−2i3−2+2i32−2i30000001−i3−1+i3−1+i31−i300000−2ζ5−2ζ232ζ5+2ζ230000000000000
χ994-4-440000-44-22-2200000000000000000000−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i31+i3−1−i31+i3−1−i300000000000000000000−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i31−i3−1+i31−i3−1+i300000000000000000000
χ1006-6-6600002-2000002-20000-2200000000000−3−3i33+3i33+3i3−3−3i30000−1−i31+i300000−1−i31+i300001+i3−1−i300000000000−3+3i33−3i33−3i3−3+3i30000−1+i31−i300000−1+i31−i300001−i3−1+i300000000000
χ1016-6-6600002-200000-2200002-200000000000−3−3i33+3i33+3i3−3−3i30000−1−i31+i3000001+i3−1−i30000−1−i31+i300000000000−3+3i33−3i33−3i3−3+3i30000−1+i31−i3000001−i3−1+i30000−1+i31−i300000000000
χ1028-88-80000002-2-2200000000000000000000−4−4i34+4i3−4−4i34+4i3000000−1−i31+i31+i3−1−i300000000000000000000−4+4i34−4i3−4+4i34−4i3000000−1+i31−i31−i3−1+i300000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.