Finite Group Databasebeta

← Group #13085767

Character table — Group #13085767

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222244444444444444444466666666888888888881212121212121212121212121212121220202024242424243636363636404040606060606060180
order1233455661010361212151515152020303030306060606024662020202012151530306060606060602101010101010123030303060606060266630303030420202020666266824248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1111-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-11
χ711111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-11
χ811111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ922222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520002−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520000000000
χ1022222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+521+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000-21+521+521−521−52-21+521+521−521−520000000000
χ1122222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−520002−1−52−1−52−1+52−1+52-21+521+521−521−520000000000
χ1222222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52-21+521+521−521−521+521+521−521−52000-21+521+521−521−522−1−52−1−52−1+52−1+520000000000
χ1322222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520002−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520000000000
χ1422222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−521−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000-21−521−521+521+52-21−521−521+521+520000000000
χ1522222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+520002−1+52−1+52−1−52−1−52-21−521−521+521+520000000000
χ1622222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52-21−521−521+521+521−521−521+521+52000-21−521−521+521+522−1+52−1+52−1−52−1−520000000000
χ172222-222222222-2-22222-2-22222-2-2-2-22-222-2-2-2-2-22222-2-2-2-2-2-20220000-22222-2-2-2-200000000000000000000000
χ182222-222222222-2-22222-2-22222-2-2-2-2-22-2-22222-22222-2-2-2-2-2-20-2-200002-2-2-2-2222200000000000000000000000
χ192222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-2221+521+521−521−52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−520−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116-2−1−52−1−52−1+52−1+521+521+521−521−520000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000
χ202222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-2221+521+521−521−52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−520−1−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116-2−1−52−1−52−1+52−1+521+521+521−521−520000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000
χ212222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-22-2-2−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5201+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11621+521+521−521−52−1−52−1−52−1+52−1+520000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000
χ222222-2−1−52−1+5222−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-22-2-2−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5201+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11621+521+521−521−52−1−52−1−52−1+52−1+520000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000
χ232222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-2221−521−521+521+52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+520−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92-2−1+52−1+52−1−52−1−521−521−521+521+520000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000
χ242222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-2221−521−521+521+52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+520−1+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92-2−1+52−1+52−1−52−1−521−521−521+521+520000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000
χ252222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-22-2-2−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5201−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9221−521−521+521+52−1+52−1+52−1−52−1−520000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000
χ262222-2−1+52−1−5222−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-22-2-2−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5201−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9221−521−521+521+52−1+52−1+52−1−52−1−520000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000
χ27222-12222-122-1-1-12-1-1222222-1-1-1-1-1-122-1-12222-1-1-1-1-122-1-1-1-10220000-1-1-1-1-1-1-1-1-12-1-100000000002-1-12-1-10000
χ28222-12222-122-1-1-12-1-1222222-1-1-1-1-1-122-1-12222-1-1-1-1-122-1-1-1-10220000-1-1-1-1-1-1-1-1-1-2110000000000-211-2110000
χ29222-12222-122-1-1-12-1-1222222-1-1-1-1-1-1-2-211-2-2-2-2-1-1-1-1-122-1-1-1-10-2-200001111111112-1-100000000002-1-1-2110000
χ30222-12222-122-1-1-12-1-1222222-1-1-1-1-1-1-2-211-2-2-2-2-1-1-1-1-122-1-1-1-10-2-20000111111111-2110000000000-2112-1-10000
χ31222-1-2222-122-1-11-2-1-122-2-222-1-111112-2-1-1-2-2-2-21-1-1-1-1-2-2111102200001-1-1-1-111110−i3i300000000000−i3i30−i3i30000
χ32222-1-2222-122-1-11-2-1-122-2-222-1-111112-2-1-1-2-2-2-21-1-1-1-1-2-2111102200001-1-1-1-111110i3−i300000000000i3−i30i3−i30000
χ33222-1-2222-122-1-11-2-1-122-2-222-1-11111-221122221-1-1-1-1-2-211110-2-20000-11111-1-1-1-10−i3i300000000000−i3i30i3−i30000
χ34222-1-2222-122-1-11-2-1-122-2-222-1-11111-221122221-1-1-1-1-2-211110-2-20000-11111-1-1-1-10i3−i300000000000i3−i30−i3i30000
χ3522-12222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-12002222000000000222-1-1-1-1-100000-1-1-10002-1-10
χ3622-12222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-12002222000000000-2-2-2-1-1-1-1-100000111000-2110
χ3722-12222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2-20000000002221111100000-1-1-1000-2110
χ3822-12222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2-2000000000-2-2-211111000001110002-1-10
χ39444-24−1−5−1+54-2−1−5−1+5-2-2-241+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−5244-2-2−1−5−1−5−1+5−1+5-21+521−521+521−52−1−5−1+51+521+521−521−520−1−5−1+50000-21+521+521−521−521+521+521−521−5200000000000000000000000
χ40444-24−1−5−1+54-2−1−5−1+5-2-2-241+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−52-4-4221+51+51−51−5-21+521−521+521−52−1−5−1+51+521+521−521−5201+51−500002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000
χ41444-24−1+5−1−54-2−1+5−1−5-2-2-241−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+5244-2-2−1+5−1+5−1−5−1−5-21−521+521−521+52−1+5−1−51−521−521+521+520−1+5−1−50000-21−521−521+521+521−521−521+521+5200000000000000000000000
χ42444-24−1+5−1−54-2−1+5−1−5-2-2-241−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+52-4-4221−51−51+51+5-21−521+521−521+52−1+5−1−51−521−521+521+5201−51+500002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000
χ43444-2-4−1−5−1+54-2−1−5−1+5-2-22-41+521−52−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+524-4-2-21+51+51−51−521+521−521+521−521+51−5−1−52−1−52−1+52−1+520−1−5−1+5000021+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000
χ44444-2-4−1−5−1+54-2−1−5−1+5-2-22-41+521−52−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52-4422−1−5−1−5−1+5−1+521+521−521+521−521+51−5−1−52−1−52−1+52−1+5201+51−50000-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000
χ45444-2-4−1+5−1−54-2−1+5−1−5-2-22-41−521+52−1+5−1−51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−524-4-2-21−51−51+51+521−521+521−521+521−51+5−1+52−1+52−1−52−1−520−1+5−1−5000021−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000
χ46444-2-4−1+5−1−54-2−1+5−1−5-2-22-41−521+52−1+5−1−51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52-4422−1+5−1+5−1−5−1−521−521+521−521+521−51+5−1+52−1+52−1−52−1−5201−51+50000-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000
χ4744-244−1−5−1+5-24−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5−1−5−1−5−1+5−1+500000000-21+521−521+521−521+521−521+521+521−521−52400−1−5−1−5−1+5−1+5000000000000-21+521+521−521−52000000000000000
χ4844-244−1−5−1+5-24−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5−1−5−1−5−1+5−1+500000000-21+521−521+521−521+521−521+521+521−521−52-4001+51+51−51−50000000000002−1−52−1−52−1+52−1+52000000000000000
χ4944-244−1+5−1−5-24−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5−1+5−1+5−1−5−1−500000000-21−521+521−521+521−521+521−521−521+521+52400−1+5−1+5−1−5−1−5000000000000-21−521−521+521+52000000000000000
χ5044-244−1+5−1−5-24−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5−1+5−1+5−1−5−1−500000000-21−521+521−521+521−521+521−521−521+521+52-4001−51−51+51+50000000000002−1+52−1+52−1−52−1−52000000000000000
χ5144-24-444-2444-2-2-4244-2-2-4-4-2-244-4-4-4-4000000002-2-2-2-2222222000000000000000000000000000000000000000
χ5244-24-4−1−5−1+5-24−1−5−1+5-2-2-42−1−5−1+51+521−521+51−51+521−52−1−5−1+51+51+51−51−50000000021+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1160000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000000000
χ5344-24-4−1−5−1+5-24−1−5−1+5-2-2-42−1−5−1+51+521−521+51−51+521−52−1−5−1+51+51+51−51−50000000021+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000000000
χ5444-24-4−1+5−1−5-24−1+5−1−5-2-2-42−1+5−1−51−521+521−51+51−521+52−1+5−1−51−51−51+51+50000000021−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000000000000
χ5544-24-4−1+5−1−5-24−1+5−1−5-2-2-42−1+5−1−51−521+521−51+51−521+52−1+5−1−51−51−51+51+50000000021−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000000000000
χ5644-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-20000000011111-2-2111100000000000000004-2-20000000000-2110000000
χ5744-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-20000000011111-2-211110000000000000000-42200000000002-1-10000000
χ5844-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2222200000000-1111122-1-1-1-100000000000000000−2i32i300000000000i3−i30000000
χ5944-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2222200000000-1111122-1-1-1-1000000000000000002i3−2i300000000000−i3i30000000
χ604-444044-4-4-4-44-400444400-4-4-4-4000000000000044-4-4000000000000000000000000000000000000000000000
χ614-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−500000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ940−1−5−1+51+51−5000000000000000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9400000000000000000000000
χ624-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−5000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ940−1−5−1+51+51−50000000000000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000000000000000000000
χ634-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+5000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180−1+5−1−51−51+50000000000000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000000000000000000000
χ644-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+500000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180−1+5−1−51−51+5000000000000000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000000000000000000
χ654-44-2044-42-4-4-2200-2-24400-4-422000000−2i32i300000-2-22200000000000000−2i32i3−2i32i3000000000000000000000000000
χ664-44-2044-42-4-4-2200-2-24400-4-4220000002i3−2i300000-2-222000000000000002i3−2i32i3−2i3000000000000000000000000000
χ674-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+5001+51−5−1−52−1+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ9400−2i32i3−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9401+521−52−1−52−1+5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ9400000000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000000000000000000
χ684-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+5001+51−5−1−52−1+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94002i3−2i32ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9401+521−52−1−52−1+5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ9400000000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000000000000000000
χ694-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+5001+51−5−1−52−1+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ9400−2i32i32ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9401+521−52−1−52−1+5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ9400000000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000000000000000000
χ704-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+5001+51−5−1−52−1+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94002i3−2i3−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9401+521−52−1−52−1+5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ9400000000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000000000000000000
χ714-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−5001−51+5−1+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ11800−2i32i3−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11801−521+52−1+52−1−5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ11800000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ11800000000000000000000000
χ724-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−5001−51+5−1+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118002i3−2i32ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11801−521+52−1+52−1−5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ11800000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ11800000000000000000000000
χ734-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−5001−51+5−1+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ11800−2i32i32ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11801−521+52−1+52−1−5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ11800000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ11800000000000000000000000
χ744-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−5001−51+5−1+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118002i3−2i3−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11801−521+52−1+52−1−5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ11800000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ11800000000000000000000000
χ754-4-240442-4-4-4-220044-2-20022-4-40000000000000-2-222000000000000000000000000000000000000000000−i6i60
χ764-4-240442-4-4-4-220044-2-20022-4-40000000000000-2-222000000000000000000000000000000000000000000i6−i60
χ7788-4-48−2−25−2+25-4-4−2−25−2+2522-4-41+51−51+51−5−2−25−2+251+51−51+51−51+51+51−51−5000000002−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000
χ7888-4-48−2+25−2−25-4-4−2+25−2−2522-4-41−51+51−51+5−2+25−2−251−51+51−51+51−51−51+51+5000000002−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000
χ7988-4-4-8−2−25−2+25-4-4−2−25−2+2522441+51−51+51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+500000000-2−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−52000000000000000000000000000000000000000
χ8088-4-4-8−2+25−2−25-4-4−2+25−2−2522441−51+51−51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−500000000-2−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+52000000000000000000000000000000000000000
χ818-8-480−2−25−2+254-82+252−25-4400−2−25−2+251+51−500−1−5−1+52+252−2500000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000
χ828-8-480−2+25−2−254-82−252+25-4400−2+25−2−251−51+500−1+5−1−52−252+2500000000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000
χ838-8-4-408844-8-82-200-4-4-4-4004444000000000000022-2-2000000000000000000000000000000000000000000000
χ848-8-4-40−2−25−2+25442+252−252-2001+51−51+51−500−1−5−1+5−1−5−1+52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000000000−1−52−1+521+521−5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000000000000000000
χ858-8-4-40−2−25−2+25442+252−252-2001+51−51+51−500−1−5−1+5−1−5−1+5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000000000−1−52−1+521+521−5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000000000000000000
χ868-8-4-40−2+25−2−25442−252+252-2001−51+51−51+500−1+5−1−5−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000000000−1+52−1−521−521+5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000000000000000000
χ878-8-4-40−2+25−2−25442−252+252-2001−51+51−51+500−1+5−1−5−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000000000−1+52−1−521−521+5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000000000000000000

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