Finite Group Databasebeta

← Group #13165899

Character table — Group #13165899

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112224666688881212161616162424242424242424242436727211222466668888121216161616242424242424242424243672721122246666888812121616161624242424242424242424367272
order1234612248836121261236121226682424242424248483631261261224243612126123612126662424242424242424122436312612612242436121261236121266624242424242424241224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11111-1-11-1-111111111111111111111-1-1-1-11111-1-11-1-111111111111111111111-1-1-1-11111-1-11-1-1
χ311111111-1-111111111111111-1-1-1-111-1-1-111111111-1-111111111111111-1-1-1-111-1-1-111111111-1-111111111111111-1-1-1-111-1-1-1
χ411111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111
χ52222222222-1-1-1-122-1-1-1-10000-1-1-1-1002002222222222-1-1-1-122-1-1-1-10000-1-1-1-1002002222222222-1-1-1-122-1-1-1-10000-1-1-1-100200
χ622222222-2-2-1-1-1-122-1-1-1-10000111100-20022222222-2-2-1-1-1-122-1-1-1-10000111100-20022222222-2-2-1-1-1-122-1-1-1-10000111100-200
χ7222-22-2-220022-2-2-2222-2-20000000000000222-22-2-220022-2-2-2222-2-20000000000000222-22-2-220022-2-2-2222-2-20000000000000
χ8222-22-2-2200-1-111-22-1-111000033−3−300000222-22-2-2200-1-111-22-1-111000033−3−300000222-22-2-2200-1-111-22-1-111000033−3−300000
χ9222-22-2-2200-1-111-22-1-1110000−3−33300000222-22-2-2200-1-111-22-1-1110000−3−33300000222-22-2-2200-1-111-22-1-1110000−3−33300000
χ1022-12-1-122002222-1-1-1-1-1-12-1-120000-1-100022-12-1-122002222-1-1-1-1-1-12-1-120000-1-100022-12-1-122002222-1-1-1-1-1-12-1-120000-1-1000
χ1122-12-1-122002222-1-1-1-1-1-1-211-200001100022-12-1-122002222-1-1-1-1-1-1-211-200001100022-12-1-122002222-1-1-1-1-1-1-211-2000011000
χ1222-1-2-11-220022-2-21-1-1-1110−i3i300000−i3i300022-1-2-11-220022-2-21-1-1-1110−i3i300000−i3i300022-1-2-11-220022-2-21-1-1-1110−i3i300000−i3i3000
χ1322-1-2-11-220022-2-21-1-1-1110i3−i300000i3−i300022-1-2-11-220022-2-21-1-1-1110i3−i300000i3−i300022-1-2-11-220022-2-21-1-1-1110i3−i300000i3−i3000
χ14333333-1-1330000-1-10000111-10000-1-1-11-1333333-1-1330000-1-10000111-10000-1-1-11-1333333-1-1330000-1-10000111-10000-1-1-11-1
χ15333333-1-1330000-1-10000-1-1-11000011-1-11333333-1-1330000-1-10000-1-1-11000011-1-11333333-1-1330000-1-10000-1-1-11000011-1-11
χ16333333-1-1-3-30000-1-10000111-10000-1-11-11333333-1-1-3-30000-1-10000111-10000-1-11-11333333-1-1-3-30000-1-10000111-10000-1-11-11
χ17333333-1-1-3-30000-1-10000-1-1-1100001111-1333333-1-1-3-30000-1-10000-1-1-1100001111-1333333-1-1-3-30000-1-10000-1-1-1100001111-1
χ1844-24-2-24400-2-2-2-2-2-21111000000000000044-24-2-24400-2-2-2-2-2-21111000000000000044-24-2-24400-2-2-2-2-2-211110000000000000
χ1944-2-4-22-4400-2-2222-211-1-1000000000000044-2-4-22-4400-2-2222-211-1-1000000000000044-2-4-22-4400-2-2222-211-1-10000000000000
χ204-440-4000−2i22i21-13−3001-13−30000ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23000004-440-4000−2i22i21-13−3001-13−30000ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23000004-440-4000−2i22i21-13−3001-13−30000ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ2300000
χ214-440-4000−2i22i21-1−33001-1−330000ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7000004-440-4000−2i22i21-1−33001-1−330000ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7000004-440-4000−2i22i21-1−33001-1−330000ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ700000
χ224-440-4000−2i22i2-220000-22000000−i2i2i2−i2000004-440-4000−2i22i2-220000-22000000−i2i2i2−i2000004-440-4000−2i22i2-220000-22000000−i2i2i2−i200000
χ234-440-40002i2−2i21-13−3001-13−30000−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23000004-440-40002i2−2i21-13−3001-13−30000−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23000004-440-40002i2−2i21-13−3001-13−30000−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ2300000
χ244-440-40002i2−2i21-1−33001-1−330000−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7000004-440-40002i2−2i21-1−33001-1−330000−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7000004-440-40002i2−2i21-1−33001-1−330000−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ700000
χ254-440-40002i2−2i2-220000-22000000i2−i2−i2i2000004-440-40002i2−2i2-220000-22000000i2−i2−i2i2000004-440-40002i2−2i2-220000-22000000i2−i2−i2i200000
χ26666-66-62-20000002-200000000000000000666-66-62-20000002-200000000000000000666-66-62-20000002-200000000000000000
χ2766-36-3-3-2-20000001100002-1-1-200001100066-36-3-3-2-20000001100002-1-1-200001100066-36-3-3-2-20000001100002-1-1-2000011000
χ2866-36-3-3-2-2000000110000-21120000-1-100066-36-3-3-2-2000000110000-21120000-1-100066-36-3-3-2-2000000110000-21120000-1-1000
χ2966-3-6-332-2000000-1100000−i3i300000i3−i300066-3-6-332-2000000-1100000−i3i300000i3−i300066-3-6-332-2000000-1100000−i3i300000i3−i3000
χ3066-3-6-332-2000000-1100000i3−i300000−i3i300066-3-6-332-2000000-1100000i3−i300000−i3i300066-3-6-332-2000000-1100000i3−i300000−i3i3000
χ318-8-404000002-223−2300-11−3300000000000008-8-404000002-223−2300-11−3300000000000008-8-404000002-223−2300-11−330000000000000
χ328-8-404000002-2−232300-113−300000000000008-8-404000002-2−232300-113−300000000000008-8-404000002-2−232300-113−30000000000000
χ338-8-40400000-4400002-20000000000000008-8-40400000-4400002-20000000000000008-8-40400000-4400002-2000000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3511111111111111111111-1-1-1-11111-1-11-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−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−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−i321+i321+i32−1−i321+i321+i32
χ3611111111-1-111111111111111-1-1-1-111-1-1-1−1+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+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−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−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+i32
χ3711111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−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+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ382222222222-1-1-1-122-1-1-1-10000-1-1-1-100200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200001−i321−i321−i321−i3200−1+i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200001+i321+i321+i321+i3200−1−i300
χ3922222222-2-2-1-1-1-122-1-1-1-10000111100-200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32001−i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32001+i300
χ40222-22-2-220022-2-2-2222-2-20000000000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000000000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000000000000
χ41222-22-2-2200-1-111-22-1-111000033−3−300000−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i321−i32−1+i32−1+i321−i3−1+i31−i321−i32−1+i32−1+i320000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i321+i32−1−i32−1−i321+i3−1−i31+i321+i32−1−i32−1−i3200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000
χ42222-22-2-2200-1-111-22-1-1110000−3−33300000−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3001−i321−i32−1+i32−1+i321−i3−1+i31−i321−i32−1+i32−1+i320000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3001+i321+i32−1−i32−1−i321+i3−1−i31+i321+i32−1−i32−1−i320000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000
χ4322-12-1-122002222-1-1-1-1-1-12-1-120000-1-1000−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i300001−i321−i32000−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i300001+i321+i32000
χ4422-12-1-122002222-1-1-1-1-1-1-211-2000011000−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i300−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30000−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i300−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30000−1−i32−1−i32000
χ4522-1-2-11-220022-2-21-1-1-1110−i3i300000−i3i3000−1+i3−1+i31−i321−i31−i32−1+i321−i3−1+i300−1+i3−1+i31−i31−i3−1+i321−i321−i321−i32−1+i32−1+i3203+i32−3−i32000003+i32−3−i32000−1−i3−1−i31+i321+i31+i32−1−i321+i3−1−i300−1−i3−1−i31+i31+i3−1−i321+i321+i321+i32−1−i32−1−i320−3+i323−i3200000−3+i323−i32000
χ4622-1-2-11-220022-2-21-1-1-1110i3−i300000i3−i3000−1+i3−1+i31−i321−i31−i32−1+i321−i3−1+i300−1+i3−1+i31−i31−i3−1+i321−i321−i321−i32−1+i32−1+i320−3−i323+i3200000−3−i323+i32000−1−i3−1−i31+i321+i31+i32−1−i321+i3−1−i300−1−i3−1−i31+i31+i3−1−i321+i321+i321+i32−1−i32−1−i3203−i32−3+i32000003−i32−3+i32000
χ47333333-1-1330000-1-10000111-10000-1-1-11-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i3200001−i321−i320000−1+i32−1+i32−1+i321−i3200001−i321−i321−i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i3200001+i321+i320000−1−i32−1−i32−1−i321+i3200001+i321+i321+i32−1−i321+i32
χ48333333-1-1330000-1-10000-1-1-11000011-1-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i32−3+3i3200001−i321−i3200001−i321−i321−i32−1+i320000−1+i32−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i32−3−3i3200001+i321+i3200001+i321+i321+i32−1−i320000−1−i32−1−i321+i321+i32−1−i32
χ49333333-1-1-3-30000-1-10000111-10000-1-11-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i3200001−i321−i320000−1+i32−1+i32−1+i321−i3200001−i321−i32−1+i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i3200001+i321+i320000−1−i32−1−i32−1−i321+i3200001+i321+i32−1−i321+i32−1−i32
χ50333333-1-1-3-30000-1-10000-1-1-1100001111-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i323−3i323−3i3200001−i321−i3200001−i321−i321−i32−1+i320000−1+i32−1+i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i323+3i323+3i3200001+i321+i3200001+i321+i321+i32−1−i320000−1−i32−1−i32−1−i32−1−i321+i32
χ5144-24-2-24400-2-2-2-2-2-211110000000000000−2+2i3−2+2i31−i3−2+2i31−i31−i3−2+2i3−2+2i3001−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000000000000−2−2i3−2−2i31+i3−2−2i31+i31+i3−2−2i3−2−2i3001+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000000000000
χ5244-2-4-22-4400-2-2222-211-1-10000000000000−2+2i3−2+2i31−i32−2i31−i3−1+i32−2i3−2+2i3001−i31−i3−1+i3−1+i3−1+i31−i3−1+i32−1+i321−i321−i320000000000000−2−2i3−2−2i31+i32+2i31+i3−1−i32+2i3−2−2i3001+i31+i3−1−i3−1−i3−1−i31+i3−1−i32−1−i321+i321+i320000000000000
χ534-440-4000−2i22i21-13−3001-13−30000ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ2300000−2+2i32−2i3−2+2i302−2i30002ζ5+2ζ23−2ζ5−2ζ23−1+i321−i32−ζ14−2ζ22ζ14+2ζ2200−1+i321−i32−ζ14−2ζ22ζ14+2ζ220000−ζ7+ζ13−ζ23ζ7−ζ13+ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ1300000−2−2i32+2i3−2−2i302+2i30002ζ7+2ζ13−2ζ7−2ζ13−1−i321+i322ζ14+ζ22−2ζ14−ζ2200−1−i321+i322ζ14+ζ22−2ζ14−ζ220000−ζ5−ζ13+ζ23ζ5+ζ13−ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ2300000
χ544-440-4000−2i22i21-1−33001-1−330000ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ700000−2+2i32−2i3−2+2i302−2i30002ζ5+2ζ23−2ζ5−2ζ23−1+i321−i32ζ14+2ζ22−ζ14−2ζ2200−1+i321−i32ζ14+2ζ22−ζ14−2ζ220000−ζ5+ζ7−ζ13ζ5−ζ7+ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ2300000−2−2i32+2i3−2−2i302+2i30002ζ7+2ζ13−2ζ7−2ζ13−1−i321+i32−2ζ14−ζ222ζ14+ζ2200−1−i321+i32−2ζ14−ζ222ζ14+ζ220000ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ2300000
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χ7011111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+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−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ712222222222-1-1-1-122-1-1-1-10000-1-1-1-100200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200001+i321+i321+i321+i3200−1−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200001−i321−i321−i321−i3200−1+i300
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χ874-440-4000−2i22i21-1−33001-1−330000ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ700000−2−2i32+2i3−2−2i302+2i30002ζ7+2ζ13−2ζ7−2ζ13−1−i321+i32−2ζ14−ζ222ζ14+ζ2200−1−i321+i32−2ζ14−ζ222ζ14+ζ220000ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ2300000−2+2i32−2i3−2+2i302−2i30002ζ5+2ζ23−2ζ5−2ζ23−1+i321−i32ζ14+2ζ22−ζ14−2ζ2200−1+i321−i32ζ14+2ζ22−ζ14−2ζ220000−ζ5+ζ7−ζ13ζ5−ζ7+ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ2300000
χ884-440-4000−2i22i2-220000-22000000−i2i2i2−i200000−2−2i32+2i3−2−2i302+2i30002ζ7+2ζ13−2ζ7−2ζ131+i3−1−i300001+i3−1−i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000−2+2i32−2i3−2+2i302−2i30002ζ5+2ζ23−2ζ5−2ζ231−i3−1+i300001−i3−1+i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000
χ894-440-40002i2−2i21-13−3001-13−30000−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ2300000−2−2i32+2i3−2−2i302+2i3000−2ζ7−2ζ132ζ7+2ζ13−1−i321+i322ζ14+ζ22−2ζ14−ζ2200−1−i321+i322ζ14+ζ22−2ζ14−ζ220000ζ5+ζ13−ζ23−ζ5−ζ13+ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ2300000−2+2i32−2i3−2+2i302−2i3000−2ζ5−2ζ232ζ5+2ζ23−1+i321−i32−ζ14−2ζ22ζ14+2ζ2200−1+i321−i32−ζ14−2ζ22ζ14+2ζ220000ζ7−ζ13+ζ23−ζ7+ζ13−ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ1300000
χ904-440-40002i2−2i21-1−33001-1−330000−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ700000−2−2i32+2i3−2−2i302+2i3000−2ζ7−2ζ132ζ7+2ζ13−1−i321+i32−2ζ14−ζ222ζ14+ζ2200−1−i321+i32−2ζ14−ζ222ζ14+ζ220000−ζ5+ζ7+ζ23ζ5−ζ7−ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ2300000−2+2i32−2i3−2+2i302−2i3000−2ζ5−2ζ232ζ5+2ζ23−1+i321−i32ζ14+2ζ22−ζ14−2ζ2200−1+i321−i32ζ14+2ζ22−ζ14−2ζ220000ζ5−ζ7+ζ13−ζ5+ζ7−ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ2300000
χ914-440-40002i2−2i2-220000-22000000i2−i2−i2i200000−2−2i32+2i3−2−2i302+2i3000−2ζ7−2ζ132ζ7+2ζ131+i3−1−i300001+i3−1−i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000−2+2i32−2i3−2+2i302−2i3000−2ζ5−2ζ232ζ5+2ζ231−i3−1+i300001−i3−1+i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000
χ92666-66-62-20000002-200000000000000000−3−3i3−3−3i3−3−3i33+3i3−3−3i33+3i3−1−i31+i3000000−1−i31+i300000000000000000−3+3i3−3+3i3−3+3i33−3i3−3+3i33−3i3−1+i31−i3000000−1+i31−i300000000000000000
χ9366-36-3-3-2-20000001100002-1-1-2000011000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i321+i31+i3000000−1−i32−1−i320000−1−i31+i321+i321+i30000−1−i32−1−i32000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i321−i31−i3000000−1+i32−1+i320000−1+i31−i321−i321−i30000−1+i32−1+i32000
χ9466-36-3-3-2-2000000110000-21120000-1-1000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i321+i31+i3000000−1−i32−1−i3200001+i3−1−i32−1−i32−1−i300001+i321+i32000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i321−i31−i3000000−1+i32−1+i3200001−i3−1+i32−1+i32−1+i300001−i321−i32000
χ9566-3-6-332-2000000-1100000−i3i300000i3−i3000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−1−i31+i30000001+i32−1−i3200000−3+i323−i32000003−i32−3+i32000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−1+i31−i30000001−i32−1+i32000003+i32−3−i3200000−3−i323+i32000
χ9666-3-6-332-2000000-1100000i3−i300000−i3i3000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−1−i31+i30000001+i32−1−i32000003−i32−3+i3200000−3+i323−i32000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−1+i31−i30000001−i32−1+i3200000−3−i323+i32000003+i32−3−i32000
χ978-8-404000002-223−2300-11−330000000000000−4−4i34+4i32+2i30−2−2i300000−1−i31+i34ζ14+2ζ22−4ζ14−2ζ22001+i32−1−i32−2ζ14−ζ222ζ14+ζ220000000000000−4+4i34−4i32−2i30−2+2i300000−1+i31−i3−2ζ14−4ζ222ζ14+4ζ22001−i32−1+i32ζ14+2ζ22−ζ14−2ζ220000000000000
χ988-8-404000002-2−232300-113−30000000000000−4−4i34+4i32+2i30−2−2i300000−1−i31+i3−4ζ14−2ζ224ζ14+2ζ22001+i32−1−i322ζ14+ζ22−2ζ14−ζ220000000000000−4+4i34−4i32−2i30−2+2i300000−1+i31−i32ζ14+4ζ22−2ζ14−4ζ22001−i32−1+i32−ζ14−2ζ22ζ14+2ζ220000000000000
χ998-8-40400000-4400002-2000000000000000−4−4i34+4i32+2i30−2−2i3000002+2i3−2−2i30000−1−i31+i3000000000000000−4+4i34−4i32−2i30−2+2i3000002−2i3−2+2i30000−1+i31−i3000000000000000

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