Finite Group Databasebeta

← Group #12009591

Character table — Group #12009591

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244444444888888888888888881010101016161616161616161616161616161616161616161616161616161616202020204040404040404040408080
order1222225510101010101022441010101044444888810101010202020204444442020202020202020202020202020202020204040404040404040444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1
χ611111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1-1-111111ii−i−iii−i−i-1-1-1-1-1-1-1-111111-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11ii−i−iii−i−i1-1
χ1011111111111111-1-1-1-111111ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1−i−iii−i−iii-11
χ1111111111111111-1-1-1-111111ii−i−i−i−iii-1-1-1-1-1-1-1-11111-1111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11ii−i−i−i−iii-11
χ1211111111111111-1-1-1-111111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1−i−iiiii−i−i1-1
χ1311111111111111-1-1-1-111111−i−iiiii−i−i-1-1-1-1-1-1-1-11111-1111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11−i−iiiii−i−i-11
χ1411111111111111-1-1-1-111111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1ii−i−i−i−iii1-1
χ1511111111111111-1-1-1-111111−i−iii−i−iii-1-1-1-1-1-1-1-111111-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11−i−iii−i−iii1-1
χ1611111111111111-1-1-1-111111−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1ii−i−iii−i−i-11
χ172222222222222222-2-22222-2000000002222-2-2-2-2222200-2-2000000000000000000000000-2-222-20000000000
χ182222222222222222-2-22222-2000000002222-2-2-2-2-2-2-2-200-2-200000000000000000000000022-2-220000000000
χ1922222222222222-2-2222222-200000000-2-2-2-22222222200-2-200000000000000000000000022-2-2-20000000000
χ2022222222222222-2-2222222-200000000-2-2-2-22222-2-2-2-200-2-2000000000000000000000000-2-22220000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022−1+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+52−1−52−1−52000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−5222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022−1+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+521−521−521+521+521−521−521+521+52000000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−5222i2i−2i−2i2i2i−2i−2i1−521+521−521+521−521−521+521+5200002-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−5222i2i−2i−2i−2i−2i2i2i1−521+521−521+521−521−521+521+520000-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522−2i−2i2i2i2i2i−2i−2i1−521+521−521+521−521−521+521+520000-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522−2i−2i2i2i−2i−2i2i2i1−521+521−521+521−521−521+521+5200002-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022−1−52−1+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+52000000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+5222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+5222i2i−2i−2i2i2i−2i−2i1+521−521+521−521+521+521−521−5200002-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+5222i2i−2i−2i−2i−2i2i2i1+521−521+521−521+521+521−521−520000-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522−2i−2i2i2i2i2i−2i−2i1+521−521+521−521+521+521−521−520000-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522−2i−2i2i2i−2i−2i2i2i1+521−521+521−521+521+521−521−5200002-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000
χ372-22-22-22222-2-2-2-22-20022-2-2000002−22−222-2-2000022-2-2000000000000000000002−22−22−22−2002-2000002−22−200
χ382-22-22-22222-2-2-2-22-20022-2-2000002−22−222-2-20000-2-222000000000000000000002−22−22−22−200-2200000−22−2200
χ392-22-22-22222-2-2-2-22-20022-2-200000−22−2222-2-2000022-2-200000000000000000000−22−22−22−22002-200000−22−2200
χ402-22-22-22222-2-2-2-22-20022-2-200000−22−2222-2-20000-2-22200000000000000000000−22−22−22−2200-22000002−22−200
χ412-22-22-22222-2-2-2-2-220022-2-200000i2−i2−i2i2-2-222000022-2-200000000000000000000i2−i2i2−i2−i2i2−i2i200-2200000i2−i2−i2i200
χ422-22-22-22222-2-2-2-2-220022-2-200000i2−i2−i2i2-2-2220000-2-22200000000000000000000i2−i2i2−i2−i2i2−i2i2002-200000−i2i2i2−i200
χ432-22-22-22222-2-2-2-2-220022-2-200000−i2i2i2−i2-2-222000022-2-200000000000000000000−i2i2−i2i2i2−i2i2−i200-2200000−i2i2i2−i200
χ442-22-22-22222-2-2-2-2-220022-2-200000−i2i2i2−i2-2-2220000-2-22200000000000000000000−i2i2−i2i2i2−i2i2−i2002-200000i2−i2−i2i200
χ452-22-2-222222-2-2-2-2002i−2i-2-22201+i−1−i1−i−1+i000000002i−2i2i−2i2-22-20000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002i−2i0001+i−1−i1−i−1+i000000
χ462-22-2-222222-2-2-2-2002i−2i-2-22201+i−1−i1−i−1+i000000002i−2i2i−2i-22-220000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−2i2i000−1−i1+i−1+i1−i000000
χ472-22-2-222222-2-2-2-2002i−2i-2-2220−1−i1+i−1+i1−i000000002i−2i2i−2i2-22-2000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002i−2i000−1−i1+i−1+i1−i000000
χ482-22-2-222222-2-2-2-2002i−2i-2-2220−1−i1+i−1+i1−i000000002i−2i2i−2i-22-22000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−2i2i0001+i−1−i1−i−1+i000000
χ492-22-2-222222-2-2-2-200−2i2i-2-22201−i−1+i1+i−1−i00000000−2i2i−2i2i2-22-20000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2i2i0001−i−1+i1+i−1−i000000
χ502-22-2-222222-2-2-2-200−2i2i-2-22201−i−1+i1+i−1−i00000000−2i2i−2i2i-22-220000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002i−2i000−1+i1−i−1−i1+i000000
χ512-22-2-222222-2-2-2-200−2i2i-2-2220−1+i1−i−1−i1+i00000000−2i2i−2i2i2-22-2000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2i2i000−1+i1−i−1−i1+i000000
χ522-22-2-222222-2-2-2-200−2i2i-2-2220−1+i1−i−1−i1+i00000000−2i2i−2i2i-22-22000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002i−2i0001−i−1+i1+i−1−i000000
χ53444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-4-4−1+5−1−5−1+5−1−5-400000000−1+5−1−5−1+5−1−51−51−51+51+50000001−51+5000000000000000000000000000000000000000
χ54444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-444−1+5−1−5−1+5−1−5-4000000001−51+51−51+5−1+5−1+5−1−5−1−50000001−51+5000000000000000000000000000000000000000
χ55444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-4-4−1−5−1+5−1−5−1+5-400000000−1−5−1+5−1−5−1+51+51+51−51−50000001+51−5000000000000000000000000000000000000000
χ56444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-444−1−5−1+5−1−5−1+5-4000000001+51−51+51−5−1−5−1−5−1+5−1+50000001+51−5000000000000000000000000000000000000000
χ574444-4-4444444440000-4-4-4-4000000000000000004-4-440000000000000000000000000000000000000000000
χ584444-4-4444444440000-4-4-4-400000000000000000-444-40000000000000000000000000000000000000000000
χ594-44-44-4−1+5−1−5−1+5−1−51−51+51−51+54-400−1+5−1−51−51+50000022−2222−22−1+5−1−51−51+50000000000000000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000
χ604-44-44-4−1+5−1−5−1+5−1−51−51+51−51+54-400−1+5−1−51−51+500000−2222−2222−1+5−1−51−51+50000000000000000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000
χ614-44-44-4−1+5−1−5−1+5−1−51−51+51−51+5-4400−1+5−1−51−51+5000002i2−2i2−2i22i21−51+5−1+5−1−50000000000000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000
χ624-44-44-4−1+5−1−5−1+5−1−51−51+51−51+5-4400−1+5−1−51−51+500000−2i22i22i2−2i21−51+5−1+5−1−50000000000000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000
χ634-44-44-4−1−5−1+5−1−5−1+51+51−51+51−54-400−1−5−1+51+51−50000022−2222−22−1−5−1+51+51−50000000000000000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000
χ644-44-44-4−1−5−1+5−1−5−1+51+51−51+51−54-400−1−5−1+51+51−500000−2222−2222−1−5−1+51+51−50000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000
χ654-44-44-4−1−5−1+5−1−5−1+51+51−51+51−5-4400−1−5−1+51+51−5000002i2−2i2−2i22i21+51−5−1−5−1+50000000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000
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χ674-44-4-44−1+5−1−5−1+5−1−51−51+51−51+5004i−4i1−51+5−1+5−1−502+2i−2−2i2−2i−2+2i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ3600000000000000000000000
χ684-44-4-44−1+5−1−5−1+5−1−51−51+51−51+5004i−4i1−51+5−1+5−1−50−2−2i2+2i−2+2i2−2i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ3600000000000000000000000
χ694-44-4-44−1+5−1−5−1+5−1−51−51+51−51+500−4i4i1−51+5−1+5−1−502−2i−2+2i2+2i−2−2i000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ3600000000000000000000000
χ704-44-4-44−1+5−1−5−1+5−1−51−51+51−51+500−4i4i1−51+5−1+5−1−50−2+2i2−2i−2−2i2+2i000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ3600000000000000000000000
χ714-44-4-44−1−5−1+5−1−5−1+51+51−51+51−5004i−4i1+51−5−1−5−1+502+2i−2−2i2−2i−2+2i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ3800000000000000000000000
χ724-44-4-44−1−5−1+5−1−5−1+51+51−51+51−5004i−4i1+51−5−1−5−1+50−2−2i2+2i−2+2i2−2i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ3800000000000000000000000
χ734-44-4-44−1−5−1+5−1−5−1+51+51−51+51−500−4i4i1+51−5−1−5−1+502−2i−2+2i2+2i−2−2i000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ3800000000000000000000000
χ744-44-4-44−1−5−1+5−1−5−1+51+51−51+51−500−4i4i1+51−5−1−5−1+50−2+2i2−2i−2−2i2+2i000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ3800000000000000000000000
χ758888-8-8−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−2500002−252+252−252+250000000000000000000000000000000000000000000000000000000000000000
χ768888-8-8−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+2500002+252−252+252−250000000000000000000000000000000000000000000000000000000000000000
χ7788-8-80088-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-800−2+25−2−252−252+25−2+25−2−252−252+25000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000
χ7988-8-800−2+25−2−252−252+25−2+25−2−252−252+250000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000
χ8088-8-800−2−25−2+252+252−25−2−25−2+252+252−250000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000
χ8188-8-800−2−25−2+252+252−25−2−25−2+252+252−25000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000
χ828-8-880088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000
χ838-8-8800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000
χ848-8-8800−2+25−2−252−252+252−252+25−2+25−2−250000000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000
χ858-8-8800−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000
χ868-8-8800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000

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