Finite Group Databasebeta

← Group #13166647

Character table — Group #13166647

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112444448888881818181824242424363636364848484811244444888888181818182424242436363636484848481124444488888818181818242424243636363648484848
order1243366812122424242424882444161616166121212361233662412122424242461224246121212484848486121212361233662412122424242461224246121212484848486121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-1
χ3111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111
χ4111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1
χ51111111-111-1-1-1-1-1-1111-11-111-1-11-11-11111111-111-1-1-1-1-1-1111-11-111-1-11-11-11111111-111-1-1-1-1-1-1111-11-111-1-11-11-1
χ61111111-111-1-1-1-1-1-1111-1-11-1-1111-1-111111111-111-1-1-1-1-1-1111-1-11-1-1111-1-111111111-111-1-1-1-1-1-1111-1-11-1-1111-1-11
χ71111111-111-1-1-1-1-1-111-111-1-1-111-111-11111111-111-1-1-1-1-1-111-111-1-1-111-111-11111111-111-1-1-1-1-1-111-111-1-1-111-111-1
χ81111111-111-1-1-1-1-1-111-11-1111-1-1-11-111111111-111-1-1-1-1-1-111-11-1111-1-1-11-111111111-111-1-1-1-1-1-111-11-1111-1-1-11-11
χ922222222222222-2-2-2-200000000000022222222222222-2-2-2-200000000000022222222222222-2-2-2-2000000000000
χ102222222-222-2-2-2-222-2-20000000000002222222-222-2-2-2-222-2-20000000000002222222-222-2-2-2-222-2-2000000000000
χ1122-222220-2-200002-20000002−22−2000022-222220-2-200002-20000002−22−2000022-222220-2-200002-20000002−22−20000
χ1222-222220-2-200002-2000000−22−22000022-222220-2-200002-2000000−22−22000022-222220-2-200002-2000000−22−220000
χ1322-222220-2-20000-220000002−2−22000022-222220-2-20000-220000002−2−22000022-222220-2-20000-220000002−2−220000
χ1422-222220-2-20000-22000000−222−2000022-222220-2-20000-22000000−222−2000022-222220-2-20000-22000000−222−20000
χ154441-2-214-2111-2-200000022000000-1-14441-2-214-2111-2-200000022000000-1-14441-2-214-2111-2-200000022000000-1-1
χ164441-2-214-2111-2-2000000-2-2000000114441-2-214-2111-2-2000000-2-2000000114441-2-214-2111-2-2000000-2-200000011
χ174441-2-21-4-21-1-1220000002-2000000-114441-2-21-4-21-1-1220000002-2000000-114441-2-21-4-21-1-1220000002-2000000-11
χ184441-2-21-4-21-1-122000000-220000001-14441-2-21-4-21-1-122000000-220000001-14441-2-21-4-21-1-122000000-220000001-1
χ19444-211-241-2-2-211000022000000-1-100444-211-241-2-2-211000022000000-1-100444-211-241-2-2-211000022000000-1-100
χ20444-211-241-2-2-2110000-2-20000001100444-211-241-2-2-2110000-2-20000001100444-211-241-2-2-2110000-2-20000001100
χ21444-211-2-41-222-1-100002-2000000-1100444-211-2-41-222-1-100002-2000000-1100444-211-2-41-222-1-100002-2000000-1100
χ22444-211-2-41-222-1-10000-220000001-100444-211-2-41-222-1-10000-220000001-100444-211-2-41-222-1-10000-220000001-100
χ234-4044-4-400000000022−220000000000004-4044-4-400000000022−220000000000004-4044-4-400000000022−22000000000000
χ244-4044-4-4000000000−22220000000000004-4044-4-4000000000−22220000000000004-4044-4-4000000000−2222000000000000
χ2588-82-4-4204-20000000000000000000088-82-4-4204-20000000000000000000088-82-4-4204-200000000000000000000
χ2688-8-422-40-240000000000000000000088-8-422-40-240000000000000000000088-8-422-40-2400000000000000000000
χ278-802-44-200032−320000000000000000008-802-44-200032−320000000000000000008-802-44-200032−32000000000000000000
χ288-802-44-2000−32320000000000000000008-802-44-2000−32320000000000000000008-802-44-2000−3232000000000000000000
χ298-80-42-24000003i2−3i200000000000000008-80-42-24000003i2−3i200000000000000008-80-42-24000003i2−3i20000000000000000
χ308-80-42-2400000−3i23i200000000000000008-80-42-2400000−3i23i200000000000000008-80-42-2400000−3i23i20000000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111111111-1-1-1-1-1-111-1-1−1+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−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ33111111111111111111-1-111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ34111111111111111111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ351111111-111-1-1-1-1-1-1111-11-111-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ361111111-111-1-1-1-1-1-1111-1-11-1-1111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ371111111-111-1-1-1-1-1-111-111-1-1-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ381111111-111-1-1-1-1-1-111-11-1111-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ3922222222222222-2-2-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000
χ402222222-222-2-2-2-222-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000000
χ4122-222220-2-200002-20000002−22−20000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i30000−1+i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i30000−1−i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000
χ4222-222220-2-200002-2000000−22−220000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i30000−1+i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i30000−1−i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000
χ4322-222220-2-20000-220000002−2−220000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i300001−i3−1+i3000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i300001+i3−1−i3000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000
χ4422-222220-2-20000-22000000−222−20000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i300001−i3−1+i3000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i300001+i3−1−i3000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000
χ454441-2-214-2111-2-200000022000000-1-1−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−2+2i31−i3−1+i32−1+i32−1+i321−i31−i3000000−1+i3−1+i30000001−i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−2−2i31+i3−1−i32−1−i32−1−i321+i31+i3000000−1−i3−1−i30000001+i321+i32
χ464441-2-214-2111-2-2000000-2-200000011−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−2+2i31−i3−1+i32−1+i32−1+i321−i31−i30000001−i31−i3000000−1+i32−1+i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−2−2i31+i3−1−i32−1−i32−1−i321+i31+i30000001+i31+i3000000−1−i32−1−i32
χ474441-2-21-4-21-1-1220000002-2000000-11−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i322−2i31−i3−1+i321−i321−i32−1+i3−1+i3000000−1+i31−i30000001−i32−1+i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i322+2i31+i3−1−i321+i321+i32−1−i3−1−i3000000−1−i31+i30000001+i32−1−i32
χ484441-2-21-4-21-1-122000000-220000001-1−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i322−2i31−i3−1+i321−i321−i32−1+i3−1+i30000001−i3−1+i3000000−1+i321−i32−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i322+2i31+i3−1−i321+i321+i32−1−i3−1−i30000001+i3−1−i3000000−1−i321+i32
χ49444-211-241-2-2-211000022000000-1-100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−2+2i3−1+i321−i31−i31−i3−1+i32−1+i320000−1+i3−1+i30000001−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−2−2i3−1−i321+i31+i31+i3−1−i32−1−i320000−1−i3−1−i30000001+i321+i3200
χ50444-211-241-2-2-2110000-2-20000001100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−2+2i3−1+i321−i31−i31−i3−1+i32−1+i3200001−i31−i3000000−1+i32−1+i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−2−2i3−1−i321+i31+i31+i3−1−i32−1−i3200001+i31+i3000000−1−i32−1−i3200
χ51444-211-2-41-222-1-100002-2000000-1100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i32−2i3−1+i321−i3−1+i3−1+i31−i321−i320000−1+i31−i30000001−i32−1+i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i32+2i3−1−i321+i3−1−i3−1−i31+i321+i320000−1−i31+i30000001+i32−1−i3200
χ52444-211-2-41-222-1-10000-220000001-100−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i32−2i3−1+i321−i3−1+i3−1+i31−i321−i3200001−i3−1+i3000000−1+i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i32+2i3−1−i321+i3−1−i3−1−i31+i321+i3200001+i3−1−i3000000−1−i321+i3200
χ534-4044-4-400000000022−22000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i30000000002ζ5−2ζ23−2ζ5+2ζ23000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000−2ζ7+2ζ132ζ7−2ζ13000000000000
χ544-4044-4-4000000000−2222000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000−2ζ5+2ζ232ζ5−2ζ23000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i30000000002ζ7−2ζ13−2ζ7+2ζ13000000000000
χ5588-82-4-4204-200000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i32−2i3−1+i30−2+2i31−i300000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i32+2i3−1−i30−2−2i31+i300000000000000000000
χ5688-8-422-40-2400000000000000000000−4+4i3−4+4i34−4i32−2i3−1+i3−1+i32−2i301−i3−2+2i300000000000000000000−4−4i3−4−4i34+4i32+2i3−1−i3−1−i32+2i301+i3−2−2i300000000000000000000
χ578-802-44-200032−32000000000000000000−4+4i34−4i30−1+i32−2i3−2+2i31−i30003ζ5−3ζ23−3ζ5+3ζ23000000000000000000−4−4i34+4i30−1−i32+2i3−2−2i31+i3000−3ζ7+3ζ133ζ7−3ζ13000000000000000000
χ588-802-44-2000−3232000000000000000000−4+4i34−4i30−1+i32−2i3−2+2i31−i3000−3ζ5+3ζ233ζ5−3ζ23000000000000000000−4−4i34+4i30−1−i32+2i3−2−2i31+i30003ζ7−3ζ13−3ζ7+3ζ13000000000000000000
χ598-80-42-24000003i2−3i20000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i300000−3ζ5−3ζ233ζ5+3ζ230000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i300000−3ζ7−3ζ133ζ7+3ζ130000000000000000
χ608-80-42-2400000−3i23i20000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i3000003ζ5+3ζ23−3ζ5−3ζ230000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i3000003ζ7+3ζ13−3ζ7−3ζ130000000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111111111-1-1-1-1-1-111-1-1−1−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+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ63111111111111111111-1-111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ64111111111111111111-1-1-1-11111-1-1-1-1−1−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−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ651111111-111-1-1-1-1-1-1111-11-111-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ661111111-111-1-1-1-1-1-1111-1-11-1-1111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ671111111-111-1-1-1-1-1-111-111-1-1-111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ681111111-111-1-1-1-1-1-111-11-1111-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ6922222222222222-2-2-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000
χ702222222-222-2-2-2-222-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000000
χ7122-222220-2-200002-20000002−22−20000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i30000−1−i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i30000−1+i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ7222-222220-2-200002-2000000−22−220000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i30000−1−i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i30000−1+i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ7322-222220-2-20000-220000002−2−220000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i300001+i3−1−i3000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i300001−i3−1+i3000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ7422-222220-2-20000-22000000−222−20000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i300001+i3−1−i3000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i300001−i3−1+i3000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
χ754441-2-214-2111-2-200000022000000-1-1−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−2−2i31+i3−1−i32−1−i32−1−i321+i31+i3000000−1−i3−1−i30000001+i321+i32−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−2+2i31−i3−1+i32−1+i32−1+i321−i31−i3000000−1+i3−1+i30000001−i321−i32
χ764441-2-214-2111-2-2000000-2-200000011−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i32−2−2i31+i3−1−i32−1−i32−1−i321+i31+i30000001+i31+i3000000−1−i32−1−i32−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i32−2+2i31−i3−1+i32−1+i32−1+i321−i31−i30000001−i31−i3000000−1+i32−1+i32
χ774441-2-21-4-21-1-1220000002-2000000-11−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i322+2i31+i3−1−i321+i321+i32−1−i3−1−i3000000−1−i31+i30000001+i32−1−i32−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i322−2i31−i3−1+i321−i321−i32−1+i3−1+i3000000−1+i31−i30000001−i32−1+i32
χ784441-2-21-4-21-1-122000000-220000001-1−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i322+2i31+i3−1−i321+i321+i32−1−i3−1−i30000001+i3−1−i3000000−1−i321+i32−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i322−2i31−i3−1+i321−i321−i32−1+i3−1+i30000001−i3−1+i3000000−1+i321−i32
χ79444-211-241-2-2-211000022000000-1-100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−2−2i3−1−i321+i31+i31+i3−1−i32−1−i320000−1−i3−1−i30000001+i321+i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−2+2i3−1+i321−i31−i31−i3−1+i32−1+i320000−1+i3−1+i30000001−i321−i3200
χ80444-211-241-2-2-2110000-2-20000001100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−2−2i3−1−i321+i31+i31+i3−1−i32−1−i3200001+i31+i3000000−1−i32−1−i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−2+2i3−1+i321−i31−i31−i3−1+i32−1+i3200001−i31−i3000000−1+i32−1+i3200
χ81444-211-2-41-222-1-100002-2000000-1100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i32+2i3−1−i321+i3−1−i3−1−i31+i321+i320000−1−i31+i30000001+i32−1−i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i32−2i3−1+i321−i3−1+i3−1+i31−i321−i320000−1+i31−i30000001−i32−1+i3200
χ82444-211-2-41-222-1-10000-220000001-100−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i32+2i3−1−i321+i3−1−i3−1−i31+i321+i3200001+i3−1−i3000000−1−i321+i3200−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i32−2i3−1+i321−i3−1+i3−1+i31−i321−i3200001−i3−1+i3000000−1+i321−i3200
χ834-4044-4-400000000022−22000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000−2ζ7+2ζ132ζ7−2ζ13000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i30000000002ζ5−2ζ23−2ζ5+2ζ23000000000000
χ844-4044-4-4000000000−2222000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i30000000002ζ7−2ζ13−2ζ7+2ζ13000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000−2ζ5+2ζ232ζ5−2ζ23000000000000
χ8588-82-4-4204-200000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i32+2i3−1−i30−2−2i31+i300000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i32−2i3−1+i30−2+2i31−i300000000000000000000
χ8688-8-422-40-2400000000000000000000−4−4i3−4−4i34+4i32+2i3−1−i3−1−i32+2i301+i3−2−2i300000000000000000000−4+4i3−4+4i34−4i32−2i3−1+i3−1+i32−2i301−i3−2+2i300000000000000000000
χ878-802-44-200032−32000000000000000000−4−4i34+4i30−1−i32+2i3−2−2i31+i3000−3ζ7+3ζ133ζ7−3ζ13000000000000000000−4+4i34−4i30−1+i32−2i3−2+2i31−i30003ζ5−3ζ23−3ζ5+3ζ23000000000000000000
χ888-802-44-2000−3232000000000000000000−4−4i34+4i30−1−i32+2i3−2−2i31+i30003ζ7−3ζ13−3ζ7+3ζ13000000000000000000−4+4i34−4i30−1+i32−2i3−2+2i31−i3000−3ζ5+3ζ233ζ5−3ζ23000000000000000000
χ898-80-42-24000003i2−3i20000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i300000−3ζ7−3ζ133ζ7+3ζ130000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i300000−3ζ5−3ζ233ζ5+3ζ230000000000000000
χ908-80-42-2400000−3i23i20000000000000000−4−4i34+4i302+2i3−1−i31+i3−2−2i3000003ζ7+3ζ13−3ζ7−3ζ130000000000000000−4+4i34−4i302−2i3−1+i31−i3−2+2i3000003ζ5+3ζ23−3ζ5−3ζ230000000000000000

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