Finite Group Databasebeta

← Group #12009577

Character table — Group #12009577

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444444445555888888888888888888888101016161616161616161616161616161616161616161616161616162020202040404040404040404040404040
order1222225510101010101022441010101044444444444448888101010102020202044202020202020202020202020202020202020404040404040404044444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-111111111111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111-1-1ii−i−iii−i−i
χ1011111111111111-1-1-1-111111111111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111-1-1−i−iii−i−iii
χ1111111111111111-1-1-1-1111111111-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11-1-111ii−i−i−i−iii
χ1211111111111111-1-1-1-1111111111-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11-1-111−i−iiiii−i−i
χ1311111111111111-1-1-1-11111-1-1-1-1111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-111−i−iii−i−iii
χ1411111111111111-1-1-1-11111-1-1-1-1111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-111ii−i−iii−i−i
χ1511111111111111-1-1-1-11111-1-1-1-11-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-111-1-1−i−iiiii−i−i
χ1611111111111111-1-1-1-11111-1-1-1-11-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-111-1-1ii−i−i−i−iii
χ172222222222222222-2-222222222-20000000000002222-2-2-2-222-2-2000000000000000000000000-2-222-2000000000000
χ182222222222222222-2-22222-2-2-2-2-20000000000002222-2-2-2-2-2-2-2-200000000000000000000000022-2-22000000000000
χ1922222222222222-2-22222222222-2000000000000-2-2-2-2222222-2-200000000000000000000000022-2-2-2000000000000
χ2022222222222222-2-2222222-2-2-2-2-2000000000000-2-2-2-22222-2-2-2-2000000000000000000000000-2-2222000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−5200002222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200−1+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+52−1−52−1−5200000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52000022222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200−1+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+5200000000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−5200002-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200−1+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+5200000000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−5200002-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200−1+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+52−1−52−1−5200000000000000000
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+52−1−520000222-2-22i2i−2i−2i2i2i−2i−2i1−521+521−521+521−521−521+521+5200−1+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+ζ1400000000000000000
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+52−1−520000222-2-2−2i−2i2i2i−2i−2i2i2i1−521+521−521+521−521−521+521+5200−1+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−ζ1400000000000000000
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+52−1−5200002-2-2222i2i−2i−2i−2i−2i2i2i1−521+521−521+521−521−521+521+5200−1+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−ζ1400000000000000000
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+52−1−5200002-2-222−2i−2i2i2i2i2i−2i−2i1−521+521−521+521−521−521+521+5200−1+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+ζ1400000000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+5200002222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200−1−52−1+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+5200000000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52000022222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200−1−52−1+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+521−521−5200000000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+5200002-2-2-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200−1−52−1+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+521−521−5200000000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+5200002-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200−1−52−1+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+5200000000000000000
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+520000222-2-22i2i−2i−2i2i2i−2i−2i1+521−521+521−521+521+521−521−5200−1−52−1+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+ζ3800000000000000000
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+520000222-2-2−2i−2i2i2i−2i−2i2i2i1+521−521+521−521+521+521−521−5200−1−52−1+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−ζ3800000000000000000
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+5200002-2-2222i2i−2i−2i−2i−2i2i2i1+521−521+521−521+521+521−521−5200−1−52−1+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−ζ3800000000000000000
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+5200002-2-222−2i−2i2i2i2i2i−2i−2i1+521−521+521−521+521+521−521−5200−1−52−1+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+ζ3800000000000000000
χ372-22-22-22222-2-2-2-22-20022-2-222-2-20000000002−22−222-2-200002-20000000000000000002−22−22−22−2002-20000000002−22−2
χ382-22-22-22222-2-2-2-22-20022-2-222-2-2000000000−22−2222-2-200002-2000000000000000000−22−22−22−22002-2000000000−22−22
χ392-22-22-22222-2-2-2-22-20022-2-2-2-2220000000002−22−222-2-20000-220000000000000000002−22−22−22−200-22000000000−22−22
χ402-22-22-22222-2-2-2-22-20022-2-2-2-222000000000−22−2222-2-20000-22000000000000000000−22−22−22−2200-220000000002−22−2
χ412-22-22-22222-2-2-2-2-220022-2-222-2-2000000000i2−i2−i2i2-2-22200002-2000000000000000000i2−i2i2−i2−i2i2−i2i200-22000000000i2−i2−i2i2
χ422-22-22-22222-2-2-2-2-220022-2-222-2-2000000000−i2i2i2−i2-2-22200002-2000000000000000000−i2i2−i2i2i2−i2i2−i200-22000000000−i2i2i2−i2
χ432-22-22-22222-2-2-2-2-220022-2-2-2-222000000000i2−i2−i2i2-2-2220000-22000000000000000000i2−i2i2−i2−i2i2−i2i2002-2000000000−i2i2i2−i2
χ442-22-22-22222-2-2-2-2-220022-2-2-2-222000000000−i2i2i2−i2-2-2220000-22000000000000000000−i2i2−i2i2i2−i2i2−i2002-2000000000i2−i2−i2i2
χ452-22-2-222222-2-2-2-2002i−2i-2-22222-2-2000001+i−1−i1−i−1+i000000002i−2i2i−2i-2200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002i−2i00000001+i−1−i1−i−1+i0000
χ462-22-2-222222-2-2-2-2002i−2i-2-22222-2-200000−1−i1+i−1+i1−i000000002i−2i2i−2i-220000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002i−2i0000000−1−i1+i−1+i1−i0000
χ472-22-2-222222-2-2-2-2002i−2i-2-222-2-222000001+i−1−i1−i−1+i000000002i−2i2i−2i2-200000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−2i2i0000000−1−i1+i−1+i1−i0000
χ482-22-2-222222-2-2-2-2002i−2i-2-222-2-22200000−1−i1+i−1+i1−i000000002i−2i2i−2i2-20000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−2i2i00000001+i−1−i1−i−1+i0000
χ492-22-2-222222-2-2-2-200−2i2i-2-22222-2-2000001−i−1+i1+i−1−i00000000−2i2i−2i2i-2200000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2i2i00000001−i−1+i1+i−1−i0000
χ502-22-2-222222-2-2-2-200−2i2i-2-22222-2-200000−1+i1−i−1−i1+i00000000−2i2i−2i2i-220000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2i2i0000000−1+i1−i−1−i1+i0000
χ512-22-2-222222-2-2-2-200−2i2i-2-222-2-222000001−i−1+i1+i−1−i00000000−2i2i−2i2i2-200000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002i−2i0000000−1+i1−i−1−i1+i0000
χ522-22-2-222222-2-2-2-200−2i2i-2-222-2-22200000−1+i1−i−1−i1+i00000000−2i2i−2i2i2-20000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002i−2i00000001−i−1+i1+i−1−i0000
χ53444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-4-4−1+5−1−5−1+5−1−50000-4000000000000−1+5−1−5−1+5−1−51−51−51+51+5001−51+500000000000000000000000000000000000000000
χ54444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-444−1+5−1−5−1+5−1−50000-40000000000001−51+51−51+5−1+5−1+5−1−5−1−5001−51+500000000000000000000000000000000000000000
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+50000-4000000000000−1−5−1+5−1−5−1+51+51+51−51−5001+51−500000000000000000000000000000000000000000
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+50000-40000000000001+51−51+51−5−1−5−1−5−1+5−1+5001+51−500000000000000000000000000000000000000000
χ574444-4-4444444440000-4-4-4-44444000000000000000000000-4-40000000000000000000000000000000000000000000
χ584444-4-4444444440000-4-4-4-4-4-4-4-4000000000000000000000440000000000000000000000000000000000000000000
χ5944-4-40044-4-4-4-444000000004i−4i4i−4i02-200000000000000000000002-22-200000000000000000000000002i−2i0000000000
χ6044-4-40044-4-4-4-444000000004i−4i4i−4i0-220000000000000000000000-22-220000000000000000000000000−2i2i0000000000
χ6144-4-40044-4-4-4-44400000000−4i4i−4i4i02-200000000000000000000002-22-20000000000000000000000000−2i2i0000000000
χ6244-4-40044-4-4-4-44400000000−4i4i−4i4i0-220000000000000000000000-22-2200000000000000000000000002i−2i0000000000
χ634-44-44-4−1+5−1−5−1+5−1−51−51+51−51+54-400−1+5−1−51−51+5000000000000022−2222−22−1+5−1−51−51+5000000000000000000000000−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+ζ3900000000000000000
χ644-44-44-4−1+5−1−5−1+5−1−51−51+51−51+54-400−1+5−1−51−51+50000000000000−2222−2222−1+5−1−51−51+5000000000000000000000000ζ7−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−ζ3900000000000000000
χ654-44-44-4−1+5−1−5−1+5−1−51−51+51−51+5-4400−1+5−1−51−51+500000000000002i2−2i2−2i22i21−51+5−1+5−1−5000000000000000000000000ζ7+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+ζ3900000000000000000
χ664-44-44-4−1+5−1−5−1+5−1−51−51+51−51+5-4400−1+5−1−51−51+50000000000000−2i22i22i2−2i21−51+5−1+5−1−5000000000000000000000000−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−ζ3900000000000000000
χ674-44-44-4−1−5−1+5−1−5−1+51+51−51+51−54-400−1−5−1+51+51−5000000000000022−2222−22−1−5−1+51+51−5000000000000000000000000ζ21+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−ζ3700000000000000000
χ684-44-44-4−1−5−1+5−1−5−1+51+51−51+51−54-400−1−5−1+51+51−50000000000000−2222−2222−1−5−1+51+51−5000000000000000000000000−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+ζ3700000000000000000
χ694-44-44-4−1−5−1+5−1−5−1+51+51−51+51−5-4400−1−5−1+51+51−500000000000002i2−2i2−2i22i21+51−5−1−5−1+5000000000000000000000000ζ21+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+ζ3700000000000000000
χ704-44-44-4−1−5−1+5−1−5−1+51+51−51+51−5-4400−1−5−1+51+51−50000000000000−2i22i22i2−2i21+51−5−1−5−1+5000000000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000
χ714-44-4-44−1+5−1−5−1+5−1−51−51+51−51+5004i−4i1−51+5−1+5−1−50000000002+2i−2−2i2−2i−2+2i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000−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+ζ360000000000000000000000000
χ724-44-4-44−1+5−1−5−1+5−1−51−51+51−51+5004i−4i1−51+5−1+5−1−5000000000−2−2i2+2i−2+2i2−2i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000ζ12+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−ζ360000000000000000000000000
χ734-44-4-44−1+5−1−5−1+5−1−51−51+51−51+500−4i4i1−51+5−1+5−1−50000000002−2i−2+2i2+2i−2−2i000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000−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+ζ360000000000000000000000000
χ744-44-4-44−1+5−1−5−1+5−1−51−51+51−51+500−4i4i1−51+5−1+5−1−5000000000−2+2i2−2i−2−2i2+2i000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000ζ12−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−ζ360000000000000000000000000
χ754-44-4-44−1−5−1+5−1−5−1+51+51−51+51−5004i−4i1+51−5−1−5−1+50000000002+2i−2−2i2−2i−2+2i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000−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−ζ380000000000000000000000000
χ764-44-4-44−1−5−1+5−1−5−1+51+51−51+51−5004i−4i1+51−5−1−5−1+5000000000−2−2i2+2i−2+2i2−2i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000ζ4+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+ζ380000000000000000000000000
χ774-44-4-44−1−5−1+5−1−5−1+51+51−51+51−500−4i4i1+51−5−1−5−1+50000000002−2i−2+2i2+2i−2−2i000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000−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+ζ380000000000000000000000000
χ784-44-4-44−1−5−1+5−1−5−1+51+51−51+51−500−4i4i1+51−5−1−5−1+5000000000−2+2i2−2i−2−2i2+2i000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000ζ4−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−ζ380000000000000000000000000
χ794-4-440044-4-444-4-4000000004i−4i−4i4i0002i−2i0000000000000000000000002i−2i2i−2i000000000000000000000002-200000000
χ804-4-440044-4-444-4-4000000004i−4i−4i4i000−2i2i000000000000000000000000−2i2i−2i2i00000000000000000000000-2200000000
χ814-4-440044-4-444-4-400000000−4i4i4i−4i0002i−2i0000000000000000000000002i−2i2i−2i00000000000000000000000-2200000000
χ824-4-440044-4-444-4-400000000−4i4i4i−4i000−2i2i000000000000000000000000−2i2i−2i2i000000000000000000000002-200000000
χ838888-8-8−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−2500002−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000
χ848888-8-8−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+2500002+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800−2+25−2−252−252+252−252+25−2+25−2−2500000000000004-40000000000000000000000−1+51−5−1−51+50000000000000000000000000000000000000
χ8688-8-800−2+25−2−252−252+252−252+25−2+25−2−250000000000000-4400000000000000000000001−5−1+51+5−1−50000000000000000000000000000000000000
χ8788-8-800−2−25−2+252+252−252+252−25−2−25−2+2500000000000004-40000000000000000000000−1−51+5−1+51−50000000000000000000000000000000000000
χ8888-8-800−2−25−2+252+252−252+252−25−2−25−2+250000000000000-4400000000000000000000001+5−1−51−5−1+50000000000000000000000000000000000000
χ898-8-8800−2+25−2−252−252+25−2+25−2−252−252+250000000000000004i−4i000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000
χ908-8-8800−2+25−2−252−252+25−2+25−2−252−252+25000000000000000−4i4i0000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000
χ918-8-8800−2−25−2+252+252−25−2−25−2+252+252−250000000000000004i−4i000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000
χ928-8-8800−2−25−2+252+252−25−2−25−2+252+252−25000000000000000−4i4i0000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000

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