Finite Group Databasebeta

← Group #13087727

Character table — Group #13087727

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222244444444444444444444444448888888888888888888888888888883030303036363636363660606060606060607272120
order1233455661010236661212151515151515151520203030303030303030666101012303030303030303030303030303030306060606060606060241212284040404024681212242410106
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11
χ511111111111-11-1-1111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11-11-1-1-1-1-1111
χ611111111111-11-1-1111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111111-1-111-1-111-1-1-1
χ711111111111-11-1-1111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-11-11111111-1
χ811111111111-11-1-1111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111111-1-111-1-1-1-11
χ922222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1+522−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1−52−1+52−1+5200000000−1−52−1+520
χ1022222−1−52−1+5222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1+522−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−52000000001+521−520
χ1122222−1−52−1+5222−1−52−1+52-22-2-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521−5221+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-21+521+521−521−5200000000−1−52−1+520
χ1222222−1−52−1+5222−1−52−1+52-22-2-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521−5221+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-22−1−52−1−52−1+52−1+52000000001+521−520
χ1322222−1+52−1−5222−1+52−1−522222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1−522−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022−1+52−1+52−1−52−1−5200000000−1+52−1−520
χ1422222−1+52−1−5222−1+52−1−522222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1−522−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521−521+521+52000000001−521+520
χ1522222−1+52−1−5222−1+52−1−52-22-2-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521+5221−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-21−521−521+521+5200000000−1+52−1−520
χ1622222−1+52−1−5222−1+52−1−52-22-2-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521+5221−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-22−1+52−1+52−1−52−1−52000000001−521+520
χ172222-222222202002-2-222222222-2-22222222200000-20000000000000000-2-2-2-2-2-2-2-22-2-2-200000000200000000
χ182222-222222202002-2-222222222-2-22222222200000-20000000000000000-2-2-2-2-2-2-2-2-222200000000-200000000
χ19222-1222-12222-122-12-12-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000200200-1-100-1
χ20222-1222-12222-122-12-12-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000-200-20011001
χ21222-1222-1222-2-1-2-2-12-12-1-1-12-1-1-1222-1-1-12-1-1-1111-2-2-1-2-2111111-2-21111112-1-1-12-1-1-10000000000200-2001100-1
χ22222-1222-1222-2-1-2-2-12-12-1-1-12-1-1-1222-1-1-12-1-1-1111-2-2-1-2-2111111-2-21111112-1-1-12-1-1-10000000000-200200-1-1001
χ2322-122222-1222-1-1-1-1-12-12-1-1-12-1-122-12-1-1-12-1-12-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-100000002-10-1-100000
χ2422-122222-1222-1-1-1-1-12-12-1-1-12-1-122-12-1-1-12-1-12-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2110000000-2101100000
χ2522-122222-122-2-111-1-12-12-1-1-12-1-122-12-1-1-12-1-1-211-2-2-111-2-2111111-2-21111-12-1-1-12-1-122-1-10000000-2-101100000
χ2622-122222-122-2-111-1-12-12-1-1-12-1-122-12-1-1-12-1-1-211-2-2-111-2-2111111-2-21111-12-1-1-12-1-1-2-2110000000210-1-100000
χ2722-12-2222-1220-1−i3i3-11-2-12-1-1-12-1-1-2-2-12-1-1-12-1-10−i3i3001−i3i300−i3−i3i3i3−i3i300−i3−i3i3i31-2111-2112-21100000000-10−i3i300000
χ2822-12-2222-1220-1−i3i3-11-2-12-1-1-12-1-1-2-2-12-1-1-12-1-10−i3i3001−i3i300−i3−i3i3i3−i3i300−i3−i3i3i31-2111-211-22-1-10000000010i3−i300000
χ2922-12-2222-1220-1i3−i3-11-2-12-1-1-12-1-1-2-2-12-1-1-12-1-10i3−i3001i3−i300i3i3−i3−i3i3−i300i3i3−i3−i31-2111-2112-21100000000-10i3−i300000
χ3022-12-2222-1220-1i3−i3-11-2-12-1-1-12-1-1-2-2-12-1-1-12-1-10i3−i3001i3−i300i3i3−i3−i3i3−i300i3i3−i3−i31-2111-211-22-1-10000000010−i3i300000
χ314444-4−1−5−1+544−1−5−1+504004-4-4−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000-400000000000000001+51+51+51+51−51−51−51−5000000000000000000000
χ324444-4−1+5−1−544−1+5−1−504004-4-4−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000-400000000000000001−51−51−51−51+51+51+51+5000000000000000000000
χ33444-24−1−5−1+5-24−1−5−1+54-244-24-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52-2-2-2−1−5−1+5-2−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−52−1−51+521+521+52−1+51−521−521−52000000000000000000000
χ34444-24−1−5−1+5-24−1−5−1+5-4-2-4-4-24-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−522221+51−5-21+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−52000000000000000000000
χ35444-24−1+5−1−5-24−1+5−1−54-244-24-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52-2-2-2−1+5−1−5-2−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+52−1+51−521−521−52−1−51+521+521+52000000000000000000000
χ36444-24−1+5−1−5-24−1+5−1−5-4-2-4-4-24-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+522221−51+5-21−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+52000000000000000000000
χ37444-2-444-24440-200-2-424-2-2-24-2-2-2-4-44-2-2-24-2-2-20000020000000000000000-4222-4222000000000000000000000
χ38444-2-4−1−5−1+5-24−1−5−1+50-200-2-42−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−5200000200ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ9200−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ1161+5−1−52−1−52−1−521−5−1+52−1+52−1+52000000000000000000000
χ39444-2-4−1−5−1+5-24−1−5−1+50-200-2-42−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−5200000200−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ9200ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ1161+5−1−52−1−52−1−521−5−1+52−1+52−1+52000000000000000000000
χ40444-2-4−1+5−1−5-24−1+5−1−50-200-2-42−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+5200000200−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ11600−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ921−5−1+52−1+52−1+521+5−1−52−1−52−1−52000000000000000000000
χ41444-2-4−1+5−1−5-24−1+5−1−50-200-2-42−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+5200000200ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ11600ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ921−5−1+52−1+52−1+521+5−1−52−1−52−1−52000000000000000000000
χ4244-244−1−5−1+54-2−1−5−1+54-2-2-2-2-241+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−524-2-2−1−5−1+5-21+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−521+52−1−51+521+521−52−1+51−521−52000000000000000000000
χ4344-244−1−5−1+54-2−1−5−1+5-4-222-2-241+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−52-4221+51−5-2−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+52−1−51+521+521−52−1+51−521−52000000000000000000000
χ4444-244−1+5−1−54-2−1+5−1−54-2-2-2-2-241−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+524-2-2−1+5−1−5-21−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+521−52−1+51−521−521+52−1−51+521+52000000000000000000000
χ4544-244−1+5−1−54-2−1+5−1−5-4-222-2-241−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+52-4221−51+5-2−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+52000000000000000000000
χ4644-24-4−1−5−1+54-2−1−5−1+50-2−2i32i3-22-41+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−520−2i32i3002ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ9200ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ11600ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116−1−521+5−1−52−1−52−1+521−5−1+52−1+52000000000000000000000
χ4744-24-4−1−5−1+54-2−1−5−1+50-22i3−2i3-22-41+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−5202i3−2i3002−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ9200−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ11600−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−1−521+5−1−52−1−52−1+521−5−1+52−1+52000000000000000000000
χ4844-24-4−1+5−1−54-2−1+5−1−50-2−2i32i3-22-41−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+520−2i32i3002ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ11600ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ9200ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92−1+521−5−1+52−1+52−1−521+5−1−52−1−52000000000000000000000
χ4944-24-4−1+5−1−54-2−1+5−1−50-22i3−2i3-22-41−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+5202i3−2i3002−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ11600−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ9200−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−1+521−5−1+52−1+52−1−521+5−1−52−1−52000000000000000000000
χ5044-2-2444-2-24441-2-21-2-2-2-211-2-21144-2-211-2-211-211441-2-2-2-21111-2-2-2-21111-2-211-2-211000000000000000000000
χ5144-2-2444-2-244-41221-2-2-2-211-2-21144-2-211-2-2112-1-1-4-412222-1-1-1-12222-1-1-1-1-2-211-2-211000000000000000000000
χ5244-2-24−1−5−1+5-2-2−1−5−1+541-2-21-2-21+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116−1−5−1+51+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116-211−1−5−1+511+521+521+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ922ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−521−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116000000000000000000000
χ5344-2-24−1−5−1+5-2-2−1−5−1+541-2-21-2-21+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ116−1−5−1+51+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ116-211−1−5−1+511+521+521+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−521−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1162ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ116000000000000000000000
χ5444-2-24−1−5−1+5-2-2−1−5−1+5-41221-2-21+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116−1−5−1+51+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1162-1-11+51−51−1−52−1−52−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−1+52−1+52−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116000000000000000000000
χ5544-2-24−1−5−1+5-2-2−1−5−1+5-41221-2-21+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ116−1−5−1+51+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1162-1-11+51−51−1−52−1−52−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92−1+52−1+52−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ116000000000000000000000
χ5644-2-24−1+5−1−5-2-2−1+5−1−541-2-21-2-21−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−1+5−1−51−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92-211−1+5−1−511−521−521−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ116−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+521+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92000000000000000000000
χ5744-2-24−1+5−1−5-2-2−1+5−1−541-2-21-2-21−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92−1+5−1−51−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92-211−1+5−1−511−521−521−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1162ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+521+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ922ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92000000000000000000000
χ5844-2-24−1+5−1−5-2-2−1+5−1−5-41221-2-21−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−1+5−1−51−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ922-1-11−51+51−1+52−1+52−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92000000000000000000000
χ5944-2-24−1+5−1−5-2-2−1+5−1−5-41221-2-21−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92−1+5−1−51−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ922-1-11−51+51−1+52−1+52−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92000000000000000000000
χ6044-2-2-444-2-24401−2i32i3122-2-211-2-211-4-4-2-211-2-2110i3−i300-1−2i32i300i3i3−i3−i3−2i32i300i3i3−i3−i322-1-122-1-1000000000000000000000
χ6144-2-2-444-2-244012i3−2i3122-2-211-2-211-4-4-2-211-2-2110−i3i300-12i3−2i300−i3−i3i3i32i3−2i300−i3−i3i3i322-1-122-1-1000000000000000000000
χ6244-2-2-4−1−5−1+5-2-2−1−5−1+501−2i32i31221+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+51−51+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1160i3−i300-1ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ68−ζ52+ζ92ζ52−ζ92ζ28−ζ68ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ76+ζ116−ζ4+ζ44ζ4−ζ44ζ76−ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116000000000000000000000
χ6344-2-2-4−1−5−1+5-2-2−1−5−1+501−2i32i31221+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+51−51+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1160i3−i300-1ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ52+ζ92−ζ28+ζ68ζ28−ζ68ζ52−ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ76−ζ116ζ4−ζ44−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116000000000000000000000
χ6444-2-2-4−1−5−1+5-2-2−1−5−1+5012i3−2i31221+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+51−51+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1160−i3i300-1−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ68ζ52−ζ92−ζ52+ζ92−ζ28+ζ68−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ76−ζ116ζ4−ζ44−ζ4+ζ44−ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116000000000000000000000
χ6544-2-2-4−1−5−1+5-2-2−1−5−1+5012i3−2i31221+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+51−51+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1160−i3i300-1−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ52−ζ92ζ28−ζ68−ζ28+ζ68−ζ52+ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44ζ76−ζ116−ζ76+ζ116−ζ4+ζ44−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116000000000000000000000
χ6644-2-2-4−1+5−1−5-2-2−1+5−1−501−2i32i31221−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−51+51−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ920i3−i300-1ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ76+ζ116−ζ4+ζ44ζ4−ζ44ζ76−ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ52+ζ92−ζ28+ζ68ζ28−ζ68ζ52−ζ92−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92000000000000000000000
χ6744-2-2-4−1+5−1−5-2-2−1+5−1−501−2i32i31221−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−51+51−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ920i3−i300-1ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ76−ζ116ζ4−ζ44ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ68−ζ52+ζ92ζ52−ζ92ζ28−ζ68−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92000000000000000000000
χ6844-2-2-4−1+5−1−5-2-2−1+5−1−5012i3−2i31221−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−51+51−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ920−i3i300-1−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ76−ζ116ζ4−ζ44−ζ4+ζ44−ζ76+ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ52−ζ92ζ28−ζ68−ζ28+ζ68−ζ52+ζ92−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92000000000000000000000
χ6944-2-2-4−1+5−1−5-2-2−1+5−1−5012i3−2i31221−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−51+51−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ920−i3i300-1−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44ζ76−ζ116−ζ76+ζ116−ζ4+ζ44−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ68ζ52−ζ92−ζ52+ζ92−ζ28+ζ68−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92000000000000000000000
χ704-444044-4-4-4-40400-4004444444400-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000
χ714-4440−1−5−1+5-4-41+51−50400-400−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−5000000000000000000000000000000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ11900000000000
χ724-4440−1−5−1+5-4-41+51−50400-400−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−5000000000000000000000000000000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ11900000000000
χ734-4440−1+5−1−5-4-41−51+50400-400−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+5000000000000000000000000000000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ10300000000000
χ744-4440−1+5−1−5-4-41−51+50400-400−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+5000000000000000000000000000000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ10300000000000
χ754-44-20442-4-4-40-2002004-2-2-24-2-2-200-4222-42220000000000000000000000000000000000000000000000−i6i6000
χ764-44-20442-4-4-40-2002004-2-2-24-2-2-200-4222-42220000000000000000000000000000000000000000000000i6−i6000
χ774-4-24044-42-4-40-200200-24-2-2-24-2-2002-4222-4220000000000000000000000000000000023−2300000000000000000
χ784-4-24044-42-4-40-200200-24-2-2-24-2-2002-4222-42200000000000000000000000000000000−232300000000000000000
χ798-88-40−2−25−2+254-82+252−250-400400−2−251+51+51+5−2+251−51−51−5002+25−1−5−1−5−1−52−25−1+5−1+5−1+5000000000000000000000000000000000000000000000000000
χ808-88-40−2+25−2−254-82−252+250-400400−2+251−51−51−5−2−251+51+51+5002−25−1+5−1+5−1+52+25−1−5−1−5−1−5000000000000000000000000000000000000000000000000000
χ818-8-480−2−25−2+25-842+252−250-4004001+5−2−251+51+51−5−2+251−51−500−1−52+25−1−5−1−5−1+52−25−1+5−1+5000000000000000000000000000000000000000000000000000
χ828-8-480−2+25−2−25-842−252+250-4004001−5−2+251−51−51+5−2−251+51+500−1+52−25−1+5−1+5−1−52+25−1−5−1−5000000000000000000000000000000000000000000000000000
χ838-8-4-408844-8-80200-200-4-422-4-4220044-2-244-2-2000000000000000000000000000000000000000000000000000
χ848-8-4-40−2−25−2+25442+252−250200-2001+51+5−2ζ28+4ζ52−2ζ68+4ζ924ζ28−2ζ52+4ζ68−2ζ921−51−54ζ4+4ζ44−2ζ76−2ζ116−2ζ4−2ζ44+4ζ76+4ζ11600−1−5−1−52ζ28−4ζ52+2ζ68−4ζ92−4ζ28+2ζ52−4ζ68+2ζ92−1+5−1+5−4ζ4−4ζ44+2ζ76+2ζ1162ζ4+2ζ44−4ζ76−4ζ116000000000000000000000000000000000000000000000000000
χ858-8-4-40−2−25−2+25442+252−250200-2001+51+54ζ28−2ζ52+4ζ68−2ζ92−2ζ28+4ζ52−2ζ68+4ζ921−51−5−2ζ4−2ζ44+4ζ76+4ζ1164ζ4+4ζ44−2ζ76−2ζ11600−1−5−1−5−4ζ28+2ζ52−4ζ68+2ζ922ζ28−4ζ52+2ζ68−4ζ92−1+5−1+52ζ4+2ζ44−4ζ76−4ζ116−4ζ4−4ζ44+2ζ76+2ζ116000000000000000000000000000000000000000000000000000
χ868-8-4-40−2+25−2−25442−252+250200-2001−51−54ζ4+4ζ44−2ζ76−2ζ116−2ζ4−2ζ44+4ζ76+4ζ1161+51+54ζ28−2ζ52+4ζ68−2ζ92−2ζ28+4ζ52−2ζ68+4ζ9200−1+5−1+5−4ζ4−4ζ44+2ζ76+2ζ1162ζ4+2ζ44−4ζ76−4ζ116−1−5−1−5−4ζ28+2ζ52−4ζ68+2ζ922ζ28−4ζ52+2ζ68−4ζ92000000000000000000000000000000000000000000000000000
χ878-8-4-40−2+25−2−25442−252+250200-2001−51−5−2ζ4−2ζ44+4ζ76+4ζ1164ζ4+4ζ44−2ζ76−2ζ1161+51+5−2ζ28+4ζ52−2ζ68+4ζ924ζ28−2ζ52+4ζ68−2ζ9200−1+5−1+52ζ4+2ζ44−4ζ76−4ζ116−4ζ4−4ζ44+2ζ76+2ζ116−1−5−1−52ζ28−4ζ52+2ζ68−4ζ92−4ζ28+2ζ52−4ζ68+2ζ92000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.