Finite Group Databasebeta

← Group #13085774

Character table — Group #13085774

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222244444444444444444444666688888888812121212121212121212121212121212121212121212121212121212202020363636363640404060606060120180
order123345566101020202020361212151515153030303060606060606060602412121215153030606060606810102020242430303030404040406060606012012012012012012012012041212840404040121212226662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-111-1-1
χ41111111111111111111111111111111111111111111111111-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111111111111111111111111111-1-1-1-1111111111-11-1-1-1-111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1111-11-1-11-1
χ611111111111111111111111111111111111-1-1-1-1111111111-11-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-111-11
χ711111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11
χ811111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111-1
χ922222−1−52−1+5222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520002−1−52−1−52−1+52−1+52000000000
χ1022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000-21+521+521−521−52000000000
χ1122222−1−52−1+5222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000-21+521+521−521−52000000000
χ1222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−520002−1−52−1−52−1+52−1+52000000000
χ1322222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−520002−1+52−1+52−1−52−1−52000000000
χ1422222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−5222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000-21−521−521+521+52000000000
χ1522222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521+52221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000-21−521−521+521+52000000000
χ1622222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+520002−1+52−1+52−1−52−1−52000000000
χ172222-2222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-22022-2-20022220000-2-2-2-20000000000000000000000000
χ182222-2222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2222-22222-2-2-2-2-20-2-22200-2-2-2-2000022220000000000000000000000000
χ192222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−5220−1−52−1+521+521−5200−1−52−1−52−1+52−1+52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ941+521+521−521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ940000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000000
χ202222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−5220−1−52−1+521+521−5200−1−52−1−52−1+52−1+52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ941+521+521−521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ940000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000000000
χ212222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2222-2−1−52−1+52−1−52−1+521+521+521−521−52-201+521−52−1−52−1+52001+521+521−521−52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−1−52−1−52−1+52−1+52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ940000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000000000
χ222222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2222-2−1−52−1+52−1−52−1+521+521+521−521−52-201+521−52−1−52−1+52001+521+521−521−52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−1−52−1−52−1+52−1+52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ940000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000000
χ232222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+5220−1+52−1−521−521+5200−1+52−1+52−1−52−1−52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1181−521−521+521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ1180000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000000000
χ242222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+5220−1+52−1−521−521+5200−1+52−1+52−1−52−1−52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1181−521−521+521+52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ1180000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000000000
χ252222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2222-2−1+52−1−52−1+52−1−521−521−521+521+52-201−521+52−1+52−1−52001−521−521+521+52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−1+52−1+52−1−52−1−52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ1180000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000000000
χ262222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2222-2−1+52−1−52−1+52−1−521−521−521+521+52-201−521+52−1+52−1−52001−521−521+521+52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−1+52−1+52−1−52−1−52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ1180000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000000000
χ27222-12222-1222222-1-1-1222-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10222200-1-1-1-10000-1-1-1-1000000002-1-1000002-1-120-1-100
χ28222-12222-1222222-1-1-1222-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10222200-1-1-1-10000-1-1-1-100000000-21100000-211-201100
χ29222-12222-1222222-1-1-1222-1-122-1-1-1-1-1-12222-2-211-1-1-1-1-1-1-1-1-110-2-2-2-200111100001111000000002-1-1000002-1-1-201100
χ30222-12222-1222222-1-1-1222-1-122-1-1-1-1-1-12222-2-211-1-1-1-1-1-1-1-1-110-2-2-2-20011110000111100000000-21100000-21120-1-100
χ31222-1-2222-122-2-2-2-2-1-11-222-1-122-1-11111-2-2-2-22-2111-1-1-1-11111-1022-2-200-1-1-1-100001111000000000−i3i3000000−i3i300−i3i300
χ32222-1-2222-122-2-2-2-2-1-11-222-1-122-1-11111-2-2-2-22-2111-1-1-1-11111-1022-2-200-1-1-1-100001111000000000i3−i3000000i3−i300i3−i300
χ33222-1-2222-122-2-2-2-2-1-11-222-1-122-1-11111-2-2-2-2-22-1-11-1-1-1-1111110-2-2220011110000-1-1-1-1000000000−i3i3000000−i3i300i3−i300
χ34222-1-2222-122-2-2-2-2-1-11-222-1-122-1-11111-2-2-2-2-22-1-11-1-1-1-1111110-2-2220011110000-1-1-1-1000000000i3−i3000000i3−i300−i3i300
χ3522-12222-12222222-1-12-1-1-122-1-1222222-1-1-1-10000-1-1-1-1-1-1-1-1-1020000-1-1000022220000-1-1-1-1-1-1-1-122200000-1-1-10200-10
χ3622-12222-12222222-1-12-1-1-122-1-1222222-1-1-1-10000-1-1-1-1-1-1-1-1-1020000-1-1000022220000-1-1-1-1-1-1-1-1-2-2-2000001110-20010
χ3722-12222-12222222-1-12-1-1-122-1-1222222-1-1-1-10000-1-1-1-1-1-1-1-1-10-20000110000-2-2-2-200001111111122200000-1-1-10-20010
χ3822-12222-12222222-1-12-1-1-122-1-1222222-1-1-1-10000-1-1-1-1-1-1-1-1-10-20000110000-2-2-2-2000011111111-2-2-2000001110200-10
χ39444-24−1−5−1+54-2−1−5−1+5−1−5−1−5−1+5−1+5-2-2-24−1−5−1+51+521−52−1−5−1+51+521−521+521+521−521−52−1−5−1−5−1+5−1+544-2-2-21+521−521+521−521+521+521−521−52-20−1−5−1+5−1−5−1+5001+521+521−521−5200001+521+521−521−520000000000000000000000000
χ40444-24−1−5−1+54-2−1−5−1+5−1−5−1−5−1+5−1+5-2-2-24−1−5−1+51+521−52−1−5−1+51+521−521+521+521−521−52−1−5−1−5−1+5−1+5-4-422-21+521−521+521−521+521+521−521−52201+51−51+51−500−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+520000000000000000000000000
χ41444-24−1+5−1−54-2−1+5−1−5−1+5−1+5−1−5−1−5-2-2-24−1+5−1−51−521+52−1+5−1−51−521+521−521−521+521+52−1+5−1+5−1−5−1−544-2-2-21−521+521−521+521−521−521+521+52-20−1+5−1−5−1+5−1−5001−521−521+521+5200001−521−521+521+520000000000000000000000000
χ42444-24−1+5−1−54-2−1+5−1−5−1+5−1+5−1−5−1−5-2-2-24−1+5−1−51−521+52−1+5−1−51−521+521−521−521+521+52−1+5−1+5−1−5−1−5-4-422-21−521+521−521+521−521−521+521+52201−51+51−51+500−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000000000000000000000000
χ43444-2-4−1−5−1+54-2−1−5−1+51+51+51−51−5-2-22-4−1−5−1+51+521−52−1−5−1+51+521−52−1−52−1−52−1+52−1+521+51+51−51−54-42221+521−521+521−52−1−52−1−52−1+52−1+52-20−1−5−1+51+51−5001+521+521−521−520000−1−52−1−52−1+52−1+520000000000000000000000000
χ44444-2-4−1−5−1+54-2−1−5−1+51+51+51−51−5-2-22-4−1−5−1+51+521−52−1−5−1+51+521−52−1−52−1−52−1+52−1+521+51+51−51−5-44-2-221+521−521+521−52−1−52−1−52−1+52−1+52201+51−5−1−5−1+500−1−52−1−52−1+52−1+5200001+521+521−521−520000000000000000000000000
χ45444-2-4−1+5−1−54-2−1+5−1−51−51−51+51+5-2-22-4−1+5−1−51−521+52−1+5−1−51−521+52−1+52−1+52−1−52−1−521−51−51+51+54-42221−521+521−521+52−1+52−1+52−1−52−1−52-20−1+5−1−51−51+5001−521−521+521+520000−1+52−1+52−1−52−1−520000000000000000000000000
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χ804-4-240−1−5−1+52-41+51−52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94-22001+521−52−1−5−1+5−1−52−1+521+51−52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000001+521−52−1−52−1+52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000−66000000000000ζ7+ζ13−ζ47−ζ53−ζ7−ζ13+ζ47+ζ53−ζ23+ζ37−ζ77+ζ103ζ23−ζ37+ζ77−ζ103−ζ29+ζ31−ζ71+ζ109ζ29−ζ31+ζ71−ζ109ζ61+ζ79−ζ101−ζ119−ζ61−ζ79+ζ101+ζ11900000000000000000
χ814-4-240−1+5−1−52-41−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118-22001−521+52−1+5−1−5−1+52−1−521−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000001−521+52−1+52−1−52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1180000006−6000000000000−ζ61−ζ79+ζ101+ζ119ζ61+ζ79−ζ101−ζ119ζ29−ζ31+ζ71−ζ109−ζ29+ζ31−ζ71+ζ109−ζ7−ζ13+ζ47+ζ53ζ7+ζ13−ζ47−ζ53ζ23−ζ37+ζ77−ζ103−ζ23+ζ37−ζ77+ζ10300000000000000000
χ824-4-240−1+5−1−52-41−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118-22001−521+52−1+5−1−5−1+52−1−521−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000001−521+52−1+52−1−52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000000−66000000000000ζ61+ζ79−ζ101−ζ119−ζ61−ζ79+ζ101+ζ119−ζ29+ζ31−ζ71+ζ109ζ29−ζ31+ζ71−ζ109ζ7+ζ13−ζ47−ζ53−ζ7−ζ13+ζ47+ζ53−ζ23+ζ37−ζ77+ζ103ζ23−ζ37+ζ77−ζ10300000000000000000
χ834-4-240−1+5−1−52-41−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118-22001−521+52−1+5−1−5−1+52−1−521−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000001−521+52−1+52−1−52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1180000006−6000000000000ζ29−ζ31+ζ71−ζ109−ζ29+ζ31−ζ71+ζ109−ζ61−ζ79+ζ101+ζ119ζ61+ζ79−ζ101−ζ119ζ23−ζ37+ζ77−ζ103−ζ23+ζ37−ζ77+ζ103−ζ7−ζ13+ζ47+ζ53ζ7+ζ13−ζ47−ζ5300000000000000000
χ844-4-240−1+5−1−52-41−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118-22001−521+52−1+5−1−5−1+52−1−521−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000001−521+52−1+52−1−52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000000−66000000000000−ζ29+ζ31−ζ71+ζ109ζ29−ζ31+ζ71−ζ109ζ61+ζ79−ζ101−ζ119−ζ61−ζ79+ζ101+ζ119−ζ23+ζ37−ζ77+ζ103ζ23−ζ37+ζ77−ζ103ζ7+ζ13−ζ47−ζ53−ζ7−ζ13+ζ47+ζ5300000000000000000
χ8588-4-48−2−25−2+25-4-4−2−25−2+25−2−25−2−25−2+25−2+2522-4-41+51−51+51−51+51−51+51−51+51+51−51−51+51+51−51−500002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000
χ8688-4-48−2+25−2−25-4-4−2+25−2−25−2+25−2+25−2−25−2−2522-4-41−51+51−51+51−51+51−51+51−51−51+51+51−51−51+51+500002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000
χ8788-4-4-8−2−25−2+25-4-4−2−25−2+252+252+252−252−2522441+51−51+51−51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+50000-2−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000000000000000000000000000000
χ8888-4-4-8−2+25−2−25-4-4−2+25−2−252−252−252+252+2522441−51+51−51+51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−50000-2−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000000000000000000000000000000
χ898-8-4-408844-8-800002-200-4-4-4-44444000000000000022-2-20000000000000000000000000000000000000000000000000
χ908-8-4-40−2−25−2+25442+252−25−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ942-2001+51−51+51−5−1−5−1+5−1−5−1+52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000−1−52−1+521+521−52−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000000000000000000000000000000000000000000
χ918-8-4-40−2−25−2+25442+252−254ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ942-2001+51−51+51−5−1−5−1+5−1−5−1+5−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9400000−1−52−1+521+521−52ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000000000000000000000000000000000000000000000
χ928-8-4-40−2+25−2−25442−252+254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ1182-2001−51+51−51+5−1+5−1−5−1+5−1−5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000−1+52−1−521−521+52ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000000000000000000000000000000000000000000000
χ938-8-4-40−2+25−2−25442−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1182-2001−51+51−51+5−1+5−1−5−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000−1+52−1−521−521+52−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000000000000000000000000000000000000000000000

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