Finite Group Databasebeta

← Group #13085769

Character table — Group #13085769

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222244444444444444444466666666888888888881212121212121212121212121212121220202024242424243636363636404040606060606060180
order1233455661010361212151515152020303030306060606024101010101212121515303060606060606026101010102020303030306060606026663030303021010101066648121224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1
χ4111111111111111111111111111111111111111111111111-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-1-111-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-111-1-11
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+5222−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1+52−1−52−1−52−1+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+52-2-21+521+521−521−52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521−521+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+52-2-21+521+521−521−52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521−521+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+52−1−52−1−5222−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520002−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1−52−1+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+52−1−52−1−52-2-21−521−521+521+52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521+521−521−521+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+52−1−52−1−52-2-21−521−521+521+52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521+521−521−521+521+521−521−521+521+52000-21−521−521+521+522−1+52−1+52−1−52−1−520000000000
χ172222-222222222-2-22222-2-22222-2-2-2-22-22222-2-2-22222-2-2-2-2-2-2020000-2-22222-2-2-2-200000000000000000000000
χ182222-222222222-2-22222-2-22222-2-2-2-2-22-2-2-2-222-22222-2-2-2-2-2-20-2000022-2-2-2-2222200000000000000000000000
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+521−521−522-2−1−52−1−52−1+52−1+52-2-2-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5202−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521−52−1−52−1−52−1+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+521−521−522-2−1−52−1−52−1+52−1+52-2-2-2−1−52−1+52−1−52−1+521+521−521+521+521−521−5202ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521−52−1−52−1−52−1+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+521−521−52-221+521+521−521−5222-2−1−52−1+52−1−52−1+521+521−521+521+521−521−520-2−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1+521+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+521−521−52-221+521+521−521−5222-2−1−52−1+52−1−52−1+521+521−521+521+521−521−520-2ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1+521+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+522-2−1+52−1+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5202ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521+52−1+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+522-2−1+52−1+52−1−52−1−52-2-2-2−1+52−1−52−1+52−1−521−521+521−521−521+521+5202−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521+52−1+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+52-221−521−521+521+5222-2−1+52−1−52−1+52−1−521−521+521−521−521+521+520-2ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1−521−521−521+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+52-221−521−521+521+5222-2−1+52−1−52−1+52−1−521−521+521−521−521+521+520-2−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1−521−521−521+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
χ27222-1222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-12022220000000000222-1-1-1-1-100000-1-1-10200-1-10
χ28222-1222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-12022220000000000-2-2-2-1-1-1-1-1000001110-200110
χ29222-1222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200000000002221111100000-1-1-10-200110
χ30222-1222-1222-1-12-122-1-122-1-122222200000000-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-20000000000-2-2-211111000001110200-1-10
χ3122-122222-122-1-1-12-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-10-1000022-1-1-1-1-1-1-1-12-1-100000000002-1-120-1-1000
χ3222-122222-122-1-1-12-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-10-1000022-1-1-1-1-1-1-1-1-2110000000000-211-2011000
χ3322-122222-122-1-1-12-1-1222222-1-1-1-1-1-1-2-2-2-2-2-211-1-1-1-1-122-1-1-1-1010000-2-2111111112-1-100000000002-1-1-2011000
χ3422-122222-122-1-1-12-1-1222222-1-1-1-1-1-1-2-2-2-2-2-211-1-1-1-1-122-1-1-1-1010000-2-211111111-2110000000000-21120-1-1000
χ3522-12-2222-122-1-11-2-1-122-2-222-1-111112-22222111-1-1-1-1-2-211110-10000-2-2-1-1-1-111110−i3i300000000000−i3i300−i3i3000
χ3622-12-2222-122-1-11-2-1-122-2-222-1-111112-22222111-1-1-1-1-2-211110-10000-2-2-1-1-1-111110i3−i300000000000i3−i300i3−i3000
χ3722-12-2222-122-1-11-2-1-122-2-222-1-11111-22-2-2-2-2-1-11-1-1-1-1-2-21111010000221111-1-1-1-10−i3i300000000000−i3i300i3−i3000
χ3822-12-2222-122-1-11-2-1-122-2-222-1-11111-22-2-2-2-2-1-11-1-1-1-1-2-21111010000221111-1-1-1-10i3−i300000000000i3−i300−i3i3000
χ39444-24−1−5−1+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+521−521−5240−1−5−1−5−1+5−1+50000000000000-21+521+521−521−52000000000000000
χ40444-24−1−5−1+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+521−521−52-401+51+51−51−500000000000002−1−52−1−52−1+52−1+52000000000000000
χ41444-24−1+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+5240−1+5−1+5−1−5−1−50000000000000-21−521−521+521+52000000000000000
χ42444-24−1+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+52-401−51−51+51+500000000000002−1+52−1+52−1−52−1−52000000000000000
χ43444-2-444-2444-2-2-4244-2-2-4-4-2-244-4-4-4-4000000002-2-2-2-2222222000000000000000000000000000000000000000
χ44444-2-4−1−5−1+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+5200−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11600000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000000000
χ45444-2-4−1−5−1+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+52002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000000000
χ46444-2-4−1+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+52−1−52−1−52002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000000000000
χ47444-2-4−1+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+52−1−52−1−5200−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ9200000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000000000000
χ4844-244−1−5−1+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+521−521−5244−1−5−1−5−1+5−1+5-2-2-21+521−521+521−52−1−5−1+51+521+521−521−520-20000−1−5−1+51+521+521−521−521+521+521−521−5200000000000000000000000
χ4944-244−1−5−1+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+521−521−52-4-41+51+51−51−522-21+521−521+521−52−1−5−1+51+521+521−521−520200001+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000
χ5044-244−1+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+5244−1+5−1+5−1−5−1−5-2-2-21−521+521−521+52−1+5−1−51−521−521+521+520-20000−1+5−1−51−521−521+521+521−521−521+521+5200000000000000000000000
χ5144-244−1+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+52-4-41−51−51+51+522-21−521+521−521+52−1+5−1−51−521−521+521+520200001−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000
χ5244-24-4−1−5−1+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+524-4−1−5−1−5−1+5−1+52221+521−521+521−521+51−5−1−52−1−52−1+52−1+520-200001+51−51+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000
χ5344-24-4−1−5−1+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+52-441+51+51−51−5-2-221+521−521+521−521+51−5−1−52−1−52−1+52−1+52020000−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000
χ5444-24-4−1+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+52−1−52−1−524-4−1+5−1+5−1−5−1−52221−521+521−521+521−51+5−1+52−1+52−1−52−1−520-200001−51+51−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000
χ5544-24-4−1+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+52−1−52−1−52-441−51−51+51+5-2-221−521+521−521+521−51+5−1+52−1+52−1−52−1−52020000−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000
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+51−5000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000−1−5−1+51+51−500000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000000000000000000000000
χ624-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−50000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000−1−5−1+51+51−5000000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000000000000000000000000
χ634-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+50000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000−1+5−1−51−51+5000000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000000000000000000000000
χ644-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+5000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000−1+5−1−51−51+500000000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000000000000000000000000
χ654-44-20442-4-4-4-220044-2-20022-4-40000000000000-2-222000000000000000000000000000000000000000000−i6i60
χ664-44-20442-4-4-4-220044-2-20022-4-40000000000000-2-222000000000000000000000000000000000000000000i6−i60
χ674-4-24044-42-4-4-2200-2-24400-4-422000000000023−230-2-22200000000000000000023−2323−2300000000000000000000000
χ684-4-24044-42-4-4-2200-2-24400-4-4220000000000−23230-2-222000000000000000000−2323−232300000000000000000000000
χ694-4-240−1−5−1+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−ζ9400−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11623−2301+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+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400000000000000000000000
χ704-4-240−1−5−1+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−ζ94002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−232301+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−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400000000000000000000000
χ714-4-240−1−5−1+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+ζ9400−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−232301+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+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400000000000000000000000
χ724-4-240−1−5−1+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+ζ94002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11623−2301+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−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400000000000000000000000
χ734-4-240−1+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−ζ118002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9223−2301−521+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−ζ92ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800000000000000000000000
χ744-4-240−1+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−ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−232301−521+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+ζ92−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800000000000000000000000
χ754-4-240−1+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+ζ118002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−232301−521+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−ζ92−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800000000000000000000000
χ764-4-240−1+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+ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ9223−2301−521+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+ζ92ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800000000000000000000000
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
χ818-88-40−2−25−2+254-82+252−25-4400−2−25−2+251+51−500−1−5−1+52+252−2500000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000
χ828-88-40−2+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.