Finite Group Databasebeta

← Group #13085784

Character table — Group #13085784

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222222444444444444448888888888888121212121212121212121818181818182024242424242424242424363640404040606060606060180
order123345566101036121215151515202030303030121515303060606060606060602410101010202020202420202020261230303030606060601010666688242424242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111111-111-1-1-1
χ4111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111111111111-11-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-11111-1-11111-11-1-111-1
χ611111111111111111111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-111-1-11
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1
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+522−1−52−1+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+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200000000000
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+522−1−52−1+52−1−52−1+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+521−521−52-2-21+521+521−521−5202-2−1−52−1−52−1+52−1+521+521+521−521−521+521−5200000000000
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+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−520-221+521+521−521−52−1−52−1−52−1+52−1+521+521−5200000000000
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+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+520-2-21+521+521−521−521+521+521−521−52−1−52−1+5200000000000
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+52−1−522−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200000000000
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+52−1−522−1+52−1−52−1+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+52-2-21−521−521+521+5202-2−1+52−1+52−1−52−1−521−521−521+521+521−521+5200000000000
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+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+520-221−521−521+521+52−1+52−1+52−1−52−1−521−521+5200000000000
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+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−520-2-21−521−521+521+521−521−521+521+52−1+52−1−5200000000000
χ172222-222222222-2-22222-2-22222-22222-2-2-2-2-2-2-2-200000000002-2-2-2-2-2000000000002200000000000
χ182222-222222222-2-22222-2-22222-22222-2-2-2-2-2-2-2-20000000000-22222200000000000-2-200000000000
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+52-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1162-21+521+521−521−52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1+5200000000000
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+52-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116-22−1−52−1−52−1+52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521−5200000000000
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+52-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116-22−1−52−1−52−1+52−1+52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521−5200000000000
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+52-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1162-21+521+521−521−52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1+5200000000000
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+52−1−52-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ922-21−521−521+521+52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1−5200000000000
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+52−1−52-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92-22−1+52−1+52−1−52−1−52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521+5200000000000
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+52−1−52-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92-22−1+52−1+52−1−52−1−52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521+5200000000000
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+52−1−52-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ922-21−521−521+521+52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1−5200000000000
χ27222-1222-1222-1-1-1222-1-122-1-122-1-1-1-1-1-1-122-1-1-1-120222200000000002-10-1-1-1-10000002-1-1-120-1-1000
χ28222-1222-1222-1-1-1222-1-122-1-122-1-1-1-1-1-1-122-1-1-1-12022220000000000-2-10-1-1-1-1000000-2111-2011000
χ29222-1222-1222-1-1-1222-1-122-1-122-1-1-1-1-1-1-122-1-1-1-1-20-2-2-2-2000000000021011110000002-1-1-1-2011000
χ30222-1222-1222-1-1-1222-1-122-1-122-1-1-1-1-1-1-122-1-1-1-1-20-2-2-2-20000000000-2101111000000-211120-1-1000
χ3122-122222-122-1-12-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1020000222200000020-10000-1-1-1-100-12-1-10200-1-10
χ3222-122222-122-1-12-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-10200002222000000-20-10000-1-1-1-1001-2110-200110
χ3322-122222-122-1-12-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-10-20000-2-2-2-20000002010000111100-12-1-10-200110
χ3422-122222-122-1-12-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-10-20000-2-2-2-2000000-20100001111001-2110200-1-10
χ35444-24−1−5−1+5-24−1−5−1+5-2-2-24−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5-21+521−521+521−521+521−52−1−5−1+51+521+521−521−5240−1−5−1−5−1+5−1+500000000000-201+521+521−521−5200000000000000000
χ36444-24−1−5−1+5-24−1−5−1+5-2-2-24−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5-21+521−521+521−521+521−52−1−5−1+51+521+521−521−52-401+51+51−51−50000000000020−1−52−1−52−1+52−1+5200000000000000000
χ37444-24−1+5−1−5-24−1+5−1−5-2-2-24−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5-21−521+521−521+521−521+52−1+5−1−51−521−521+521+5240−1+5−1+5−1−5−1−500000000000-201−521−521+521+5200000000000000000
χ38444-24−1+5−1−5-24−1+5−1−5-2-2-24−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5-21−521+521−521+521−521+52−1+5−1−51−521−521+521+52-401−51−51+51+50000000000020−1+52−1+52−1−52−1−5200000000000000000
χ39444-2-444-2444-2-22-444-2-2-4-4-2-2442-2-2-2-222-4-422220000000000000000000000000000000000000000
χ40444-2-4−1−5−1+5-24−1−5−1+5-2-22-4−1−5−1+51+521−521+51−51+521−52−1−5−1+521+521−521+521−52−1−52−1+521+51−5−1−52−1−52−1+52−1+5200−2ζ28+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−ζ11600000000000000000
χ41444-2-4−1−5−1+5-24−1−5−1+5-2-22-4−1−5−1+51+521−521+51−51+521−52−1−5−1+521+521−521+521−52−1−52−1+521+51−5−1−52−1−52−1+52−1+52002ζ28−2ζ52+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+ζ11600000000000000000
χ42444-2-4−1+5−1−5-24−1+5−1−5-2-22-4−1+5−1−51−521+521−51+51−521+52−1+5−1−521−521+521−521+52−1+52−1−521−51+5−1+52−1+52−1−52−1−52002ζ4+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−ζ9200000000000000000
χ43444-2-4−1+5−1−5-24−1+5−1−5-2-22-4−1+5−1−51−521+521−51+51−521+52−1+5−1−521−521+521−521+52−1+52−1−521−51+5−1+52−1+52−1−52−1−5200−2ζ4−2ζ44+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+ζ9200000000000000000
χ4444-244−1−5−1+54-2−1−5−1+5-2-24-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−52-21+521−521+521−52−1−5−1+51+521−521+521+521−521−52040000−1−5−1−5−1+5−1+500000000-200001+521+521−521−520000000000000
χ4544-244−1−5−1+54-2−1−5−1+5-2-24-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−52-21+521−521+521−52−1−5−1+51+521−521+521+521−521−520-400001+51+51−51−50000000020000−1−52−1−52−1+52−1+520000000000000
χ4644-244−1+5−1−54-2−1+5−1−5-2-24-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+52-21−521+521−521+52−1+5−1−51−521+521−521−521+521+52040000−1+5−1+5−1−5−1−500000000-200001−521−521+521+520000000000000
χ4744-244−1+5−1−54-2−1+5−1−5-2-24-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+52-21−521+521−521+52−1+5−1−51−521+521−521−521+521+520-400001−51−51+51+50000000020000−1+52−1+52−1−52−1−520000000000000
χ4844-24-4444-244-2-2-42-2-244-4-444-2-22-2-2-2-2-4-42222220000000000000000000000000000000000000000
χ4944-24-4−1−5−1+54-2−1−5−1+5-2-2-421+521−52−1−5−1+51+51−5−1−5−1+51+521−5221+521−521+521−521+51−5−1−52−1+52−1−52−1−52−1+52−1+52000000−2ζ28+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−ζ1160000000000000
χ5044-24-4−1−5−1+54-2−1−5−1+5-2-2-421+521−52−1−5−1+51+51−5−1−5−1+51+521−5221+521−521+521−521+51−5−1−52−1+52−1−52−1−52−1+52−1+520000002ζ28−2ζ52+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+ζ1160000000000000
χ5144-24-4−1+5−1−54-2−1+5−1−5-2-2-421−521+52−1+5−1−51−51+5−1+5−1−51−521+5221−521+521−521+521−51+5−1+52−1−52−1+52−1+52−1−52−1−520000002ζ4+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−ζ920000000000000
χ5244-24-4−1+5−1−54-2−1+5−1−5-2-2-421−521+52−1+5−1−51−51+5−1+5−1−51−521+5221−521+521−521+521−51+5−1+52−1−52−1+52−1+52−1−52−1−52000000−2ζ4−2ζ44+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+ζ920000000000000
χ5344-2-2444-2-24411-2-2-2-2-2-244-2-2-2-211111-2-2-2-2111100000000000000004000000000000-2-2110000000
χ5444-2-2444-2-24411-2-2-2-2-2-244-2-2-2-211111-2-2-2-211110000000000000000-400000000000022-1-10000000
χ5544-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2-111112222-1-1-1-100000000000000000000000000000003-30000000
χ5644-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2-111112222-1-1-1-10000000000000000000000000000000-330000000
χ574-444044-4-4-4-44-400444400-4-4-4-4044-4-4000000000000000000000000000000000000000000000000
χ584-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−50−1−5−1+51+51−500000000000000000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94000000000000000000000000
χ594-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−50−1−5−1+51+51−5000000000000000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94000000000000000000000000
χ604-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+50−1+5−1−51−51+5000000000000000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118000000000000000000000000
χ614-4440−1+5−1−5-4-41−51+54-400−1+5−1−5−1+5−1−5001−51+51−51+50−1+5−1−51−51+500000000000000000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118000000000000000000000000
χ624-44-20442-4-4-4-220044-2-20022-4-40-2-2220000000000000000000000000000000000000000000−i6i6000
χ634-44-20442-4-4-4-220044-2-20022-4-40-2-2220000000000000000000000000000000000000000000i6−i6000
χ644-4-24044-42-4-4-2200-2-24400-4-4220-2-2220000000000000000000000000000000000000000000006−60
χ654-4-24044-42-4-4-2200-2-24400-4-4220-2-222000000000000000000000000000000000000000000000−660
χ6688-4-48−2−25−2+25-4-4−2−25−2+2522-4-41+51−51+51−5−2−25−2+251+51−51+51−52−1−52−1+52−1−52−1+521+51−51+51−5−1−52−1−52−1+52−1+520000000000000000000000000000000000000000
χ6788-4-48−2+25−2−25-4-4−2+25−2−2522-4-41−51+51−51+5−2+25−2−251−51+51−51+52−1+52−1−52−1+52−1−521−51+51−51+5−1+52−1+52−1−52−1−520000000000000000000000000000000000000000
χ6888-4-4-8−2−25−2+25-4-4−2−25−2+2522441+51−51+51−52+252−251+51−51+51−5-2−1−52−1+52−1−52−1+52−1−5−1+5−1−5−1+51+521+521−521−520000000000000000000000000000000000000000
χ6988-4-4-8−2+25−2−25-4-4−2+25−2−2522441−51+51−51+52−252+251−51+51−51+5-2−1+52−1−52−1+52−1−52−1+5−1−5−1+5−1−51−521−521+521+520000000000000000000000000000000000000000
χ708-88-40−2−25−2+254-82+252−25-4400−2−25−2+251+51−500−1−5−1+52+252−2501+51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ718-88-40−2+25−2−254-82−252+25-4400−2+25−2−251−51+500−1+5−1−52−252+2501−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ728-8-480−2−25−2+25-842+252−25-44001+51−5−2−25−2+25002+252−25−1−5−1+501+51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ738-8-480−2+25−2−25-842−252+25-44001−51+5−2+25−2−25002−252+25−1+5−1−501−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ748-8-4-408844-8-82-200-4-4-4-4004444022-2-2000000000000000000000000000000000000000000000000
χ758-8-4-40−2−25−2+25442+252−252-2001+51−51+51−500−1−5−1+5−1−5−1+50−1−52−1+521+521−520000−3ζ22+3ζ38−3ζ62+3ζ1183ζ22−3ζ38+3ζ62−3ζ1183ζ14−3ζ46−3ζ86+3ζ94−3ζ14+3ζ46+3ζ86−3ζ940000000000000000000000000000000000000000
χ768-8-4-40−2−25−2+25442+252−252-2001+51−51+51−500−1−5−1+5−1−5−1+50−1−52−1+521+521−5200003ζ22−3ζ38+3ζ62−3ζ118−3ζ22+3ζ38−3ζ62+3ζ118−3ζ14+3ζ46+3ζ86−3ζ943ζ14−3ζ46−3ζ86+3ζ940000000000000000000000000000000000000000
χ778-8-4-40−2+25−2−25442−252+252-2001−51+51−51+500−1+5−1−5−1+5−1−50−1+52−1−521−521+5200003ζ14−3ζ46−3ζ86+3ζ94−3ζ14+3ζ46+3ζ86−3ζ943ζ22−3ζ38+3ζ62−3ζ118−3ζ22+3ζ38−3ζ62+3ζ1180000000000000000000000000000000000000000
χ788-8-4-40−2+25−2−25442−252+252-2001−51+51−51+500−1+5−1−5−1+5−1−50−1+52−1−521−521+520000−3ζ14+3ζ46+3ζ86−3ζ943ζ14−3ζ46−3ζ86+3ζ94−3ζ22+3ζ38−3ζ62+3ζ1183ζ22−3ζ38+3ζ62−3ζ1180000000000000000000000000000000000000000

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