Finite Group Databasebeta

← Group #12010512

Character table — Group #12010512

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222444488888888161622444444488881616161616161616323222444444488881616161616161616323255101010101010102020202040404040404040408080
order12244888844881616161616161616245101020204040404020204040808080808080808010205101020204040404020204040808080808080808010202224488884488161616161616161624
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-1
χ611111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-11
χ711111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-11
χ811111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-1
χ92222222-2-2-2-22-200000000002222222-2-2-2-22-200000000002222222-2-2-2-22-200000000002222222-2-2-2-22-20000000000
χ1022222-2-222-2-2-22000000000022222-2-222-2-2-22000000000022222-2-222-2-2-22000000000022222-2-222-2-2-220000000000
χ1122-22-20022000-22−22−200000022-22-20022000-22−22−200000022-22-20022000-22−22−200000022-22-20022000-22−22−2000000
χ1222-22-20022000-2−22−2200000022-22-20022000-2−22−2200000022-22-20022000-2−22−2200000022-22-20022000-2−22−22000000
χ1322-22-200-2-20002i2−i2−i2i200000022-22-200-2-20002i2−i2−i2i200000022-22-200-2-20002i2−i2−i2i200000022-22-200-2-20002i2−i2−i2i2000000
χ1422-22-200-2-20002−i2i2i2−i200000022-22-200-2-20002−i2i2i2−i200000022-22-200-2-20002−i2i2i2−i200000022-22-200-2-20002−i2i2i2−i2000000
χ1522-2-22220000-2000002−22−20022-2-22220000-2000002−22−20022-2-22220000-2000002−22−20022-2-22220000-2000002−22−200
χ1622-2-22220000-200000−22−220022-2-22220000-200000−22−220022-2-22220000-200000−22−220022-2-22220000-200000−22−2200
χ1722-2-22-2-20000200000i2−i2−i2i20022-2-22-2-20000200000i2−i2−i2i20022-2-22-2-20000200000i2−i2−i2i20022-2-22-2-20000200000i2−i2−i2i200
χ1822-2-22-2-20000200000−i2i2i2−i20022-2-22-2-20000200000−i2i2i2−i20022-2-22-2-20000200000−i2i2i2−i20022-2-22-2-20000200000−i2i2i2−i200
χ19444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ204-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000
χ214-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000
χ224-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000
χ234-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000
χ24111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ271111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2811111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-111111-1-1-1-111-1-1ii−i−iii−i−i1-1-1-1-1-1-11111-1-111−i−iii−i−iii-11
χ2911111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-1111111-1-1-1-111-1-1ii−i−i−i−iii-11-1-1-1-1-11111-1-111−i−iiiii−i−i1-1
χ3011111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-1111111-1-1-1-111-1-1−i−iiiii−i−i-11-1-1-1-1-11111-1-111ii−i−i−i−iii1-1
χ3111111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-111111-1-1-1-111-1-1−i−iii−i−iii1-1-1-1-1-1-11111-1-111ii−i−iii−i−i-11
χ322222222-2-2-2-22-200000000002222222-2-2-2-22-200000000002222222-2-2-2-22-20000000000-2-2-2-2-2-2-22222-220000000000
χ3322222-2-222-2-2-22000000000022222-2-222-2-2-22000000000022222-2-222-2-2-220000000000-2-2-2-2-222-2-2222-20000000000
χ3422-22-20022000-22−22−200000022-22-20022000-22−22−200000022-22-20022000-22−22−2000000-2-22-2200-2-20002−22−22000000
χ3522-22-20022000-2−22−2200000022-22-20022000-2−22−2200000022-22-20022000-2−22−22000000-2-22-2200-2-200022−22−2000000
χ3622-22-200-2-20002i2−i2−i2i200000022-22-200-2-20002i2−i2−i2i200000022-22-200-2-20002i2−i2−i2i2000000-2-22-220022000-2−i2i2i2−i2000000
χ3722-22-200-2-20002−i2i2i2−i200000022-22-200-2-20002−i2i2i2−i200000022-22-200-2-20002−i2i2i2−i2000000-2-22-220022000-2i2−i2−i2i2000000
χ3822-2-22220000-2000002−22−20022-2-22220000-2000002−22−20022-2-22220000-2000002−22−200-2-222-2-2-20000200000−22−2200
χ3922-2-22220000-200000−22−220022-2-22220000-200000−22−220022-2-22220000-200000−22−2200-2-222-2-2-200002000002−22−200
χ4022-2-22-2-20000200000i2−i2−i2i20022-2-22-2-20000200000i2−i2−i2i20022-2-22-2-20000200000i2−i2−i2i200-2-222-2220000-200000−i2i2i2−i200
χ4122-2-22-2-20000200000−i2i2i2−i20022-2-22-2-20000200000−i2i2i2−i20022-2-22-2-20000200000−i2i2i2−i200-2-222-2220000-200000i2−i2−i2i200
χ42444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000-4-4-444000000000000000000
χ434-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000-44000−2i22i2−2i22i2-22000000000000
χ444-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000-44000−2i22i22i2−2i22-2000000000000
χ454-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000-440002i2−2i2−2i22i22-2000000000000
χ464-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000-440002i2−2i22i2−2i2-22000000000000
χ4722222222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000
χ4822222222222222222-2-2-2-2-2-2−1+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+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+5200000000000000000000000
χ492222222222222-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+5200000000000000000000000
χ502222222222222-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−5200000000000000000000000
χ5122222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+5200000000000000000000000
χ5222222-2-2-2-222-2-22i2i−2i−2i−2i−2i2i2i-22−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−5200000000000000000000000
χ5322222-2-2-2-222-2-2−2i−2i2i2i2i2i−2i−2i-22−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−5200000000000000000000000
χ5422222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+5200000000000000000000000
χ554444444-4-4-4-44-40000000000−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+51−50000000000−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−51+5000000000000000000000000000000000
χ5644444-4-444-4-4-440000000000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−51−5−1+50000000000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+51+5−1−5000000000000000000000000000000000
χ5744-44-40044000-422−2222−22000000−1+5−1+51−5−1+51−500−1+5−1+50001−5−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000−1−5−1−51+5−1−51+500−1−5−1−50001+5ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000000000000
χ5844-44-40044000-4−2222−2222000000−1+5−1+51−5−1+51−500−1+5−1+50001−5ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000−1−5−1−51+5−1−51+500−1−5−1−50001+5−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000000000000
χ5944-44-400-4-400042i2−2i2−2i22i2000000−1+5−1+51−5−1+51−5001−51−5000−1+5ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000−1−5−1−51+5−1−51+5001+51+5000−1−5ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000000000000
χ6044-44-400-4-40004−2i22i22i2−2i2000000−1+5−1+51−5−1+51−5001−51−5000−1+5−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000−1−5−1−51+5−1−51+5001+51+5000−1−5−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000000000000
χ6144-4-44440000-40000022−2222−2200−1+5−1+51−51−5−1+5−1+5−1+500001−500000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700−1−5−1−51+51+5−1−5−1−5−1−500001+500000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000000
χ6244-4-44440000-400000−2222−222200−1+5−1+51−51−5−1+5−1+5−1+500001−500000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700−1−5−1−51+51+5−1−5−1−5−1−500001+500000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000000
χ6344-4-44-4-400004000002i2−2i2−2i22i200−1+5−1+51−51−5−1+51−51−50000−1+500000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700−1−5−1−51+51+5−1−51+51+50000−1−500000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000000
χ6444-4-44-4-40000400000−2i22i22i2−2i200−1+5−1+51−51−5−1+51−51−50000−1+500000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700−1−5−1−51+51+5−1−51+51+50000−1−500000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000
χ65888-8-8000000000000000000−2+25−2+25−2+252−252−25000000000000000000−2−25−2−25−2−252+252+2500000000000000000000000000000000000000000
χ668-80004i2−4i24i2−4i24-4000000000000−2+252−250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−1+51−5000000000000−2−252+250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−1−51+500000000000000000000000000000000000
χ678-80004i2−4i2−4i24i2-44000000000000−2+252−250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ371−5−1+5000000000000−2−252+250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ391+5−1−500000000000000000000000000000000000
χ688-8000−4i24i24i2−4i2-44000000000000−2+252−25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ371−5−1+5000000000000−2−252+25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ391+5−1−500000000000000000000000000000000000
χ698-8000−4i24i2−4i24i24-4000000000000−2+252−25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−1+51−5000000000000−2−252+25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−1−51+500000000000000000000000000000000000
χ7022222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000000
χ7122222222222222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+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+521−521−521−521−521−521−5200000000000000000000000
χ722222222222222-2-2-2-22222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+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+521−521−521−521−52−1+52−1+52−1+52−1+521−521−5200000000000000000000000
χ732222222222222-2-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+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+521−521−521−521−521−521−521−521−52−1+52−1+5200000000000000000000000
χ7422222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i2-2−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−5200000000000000000000000
χ7522222-2-2-2-222-2-22i2i−2i−2i−2i−2i2i2i-22−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+5200000000000000000000000
χ7622222-2-2-2-222-2-2−2i−2i2i2i2i2i−2i−2i-22−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+5200000000000000000000000
χ7722222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i2-2−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−5200000000000000000000000
χ784444444-4-4-4-44-40000000000−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+51+51+5−1−51+50000000000−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−51−51−5−1+51−5000000000000000000000000000000000
χ7944444-4-444-4-4-440000000000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+51+5−1−50000000000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−51−5−1+5000000000000000000000000000000000
χ8044-44-40044000-422−2222−22000000−1−5−1−51+5−1−51+500−1−5−1−50001+5ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000−1+5−1+51−5−1+51−500−1+5−1+50001−5−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000
χ8144-44-40044000-4−2222−2222000000−1−5−1−51+5−1−51+500−1−5−1−50001+5−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000−1+5−1+51−5−1+51−500−1+5−1+50001−5ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000
χ8244-44-400-4-400042i2−2i2−2i22i2000000−1−5−1−51+5−1−51+5001+51+5000−1−5ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000−1+5−1+51−5−1+51−5001−51−5000−1+5ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000000000000
χ8344-44-400-4-40004−2i22i22i2−2i2000000−1−5−1−51+5−1−51+5001+51+5000−1−5−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000−1+5−1+51−5−1+51−5001−51−5000−1+5−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000000000000
χ8444-4-44440000-40000022−2222−2200−1−5−1−51+51+5−1−5−1−5−1−500001+500000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900−1+5−1+51−51−5−1+5−1+5−1+500001−500000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000
χ8544-4-44440000-400000−2222−222200−1−5−1−51+51+5−1−5−1−5−1−500001+500000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900−1+5−1+51−51−5−1+5−1+5−1+500001−500000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000
χ8644-4-44-4-400004000002i2−2i2−2i22i200−1−5−1−51+51+5−1−51+51+50000−1−500000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+5−1+51−51−5−1+51−51−50000−1+500000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000
χ8744-4-44-4-40000400000−2i22i22i2−2i200−1−5−1−51+51+5−1−51+51+50000−1−500000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+5−1+51−51−5−1+51−51−50000−1+500000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000
χ88888-8-8000000000000000000−2−25−2−25−2−252+252+25000000000000000000−2+25−2+25−2+252−252−2500000000000000000000000000000000000000000
χ898-80004i2−4i24i2−4i24-4000000000000−2−252+250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−1−51+5000000000000−2+252−250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−1+51−500000000000000000000000000000000000
χ908-80004i2−4i2−4i24i2-44000000000000−2−252+250002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ391+5−1−5000000000000−2+252−250002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ371−5−1+500000000000000000000000000000000000
χ918-8000−4i24i24i2−4i2-44000000000000−2−252+25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ391+5−1−5000000000000−2+252−25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ371−5−1+500000000000000000000000000000000000
χ928-8000−4i24i2−4i24i24-4000000000000−2−252+25000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−1−51+5000000000000−2+252−25000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−1+51−500000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.