Finite Group Databasebeta

← Group #12019671

Character table — Group #12019671

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size112222244444444455888888888888888810161616161616161616202020202020203232323232323232323240408080808080
order1225510104448888101044242020202020204040404040404040444488101020202448888202020202020404040402444488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111-1-1111111111111111-1i−ii−i-1-1-1-11111111-1-1ii−i−iii−i−i-1-1-1i−ii−i
χ4111111111111111111-1-1111111111111111-1−ii−ii-1-1-1-11111111-1-1−i−iii−i−iii-1-1-1−ii−ii
χ51111111111111111-1-11111111111111111-1111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1
χ61111111111111111-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111111111111111-1-1i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i111−ii−ii
χ81111111111111111-1-1-1-111111111111111-1-1−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii111i−ii−i
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-11111111-1-1-1-1-1-11111-1-1-1-111-111-1-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111i−i−ii-1-1-1-1111-1-1-1-111ii−i−i−i−iii-1-11i−i−ii
χ121111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111−iii−i-1-1-1-1111-1-1-1-111−i−iiiii−i−i-1-11−iii−i
χ131111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-11111-1-1-1-1-1-11-1-111
χ141111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1111-1-1
χ151111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1111111ii−i−i−i−iii11-1−iii−i
χ161111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1111111−i−iiiii−i−i11-1i−i−ii
χ172222222-2-22000022222-2-2-2-2-2220000000020000022-2-22-2-200000000000000-2200000
χ182222222-2-2200002222-22-2-2-2-22200000000200000-2-2222-2-2000000000000002-200000
χ192222222-2-22000022-2-22-2-2-2-2-22200000000-20000022-2-2-222000000000000002-200000
χ202222222-2-22000022-2-2-22-2-2-2-22200000000-200000-2-222-22200000000000000-2200000
χ21222−1+52−1−52−1+52−1−522222222−1+52−1−520022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52022222−1+52−1−52−1+52−1−520000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000
χ22222−1+52−1−52−1+52−1−522222222−1+52−1−520022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5202-2-2-2-2−1+52−1−52−1+52−1−520000000−1+52−1−521−521+521−521+521−521+521−521+520000000
χ23222−1+52−1−52−1+52−1−522222222−1+52−1−5200-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-22i−2i2i−2i1−521+521−521+5200000001−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000
χ24222−1+52−1−52−1+52−1−522222222−1+52−1−5200-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2−2i2i−2i2i1−521+521−521+5200000001−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000
χ25222−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−520022−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520-222-2-2−1+52−1−52−1+52−1−5200000001−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000
χ26222−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−520022−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520-2-2-222−1+52−1−52−1+52−1−5200000001−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000
χ27222−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−5200-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52022i−2i−2i2i1−521+521−521+520000000−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000
χ28222−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−5200-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5202−2i2i2i−2i1−521+521−521+520000000−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000
χ29222−1−52−1+52−1−52−1+522222222−1−52−1+520022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52022222−1−52−1+52−1−52−1+520000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000
χ30222−1−52−1+52−1−52−1+522222222−1−52−1+520022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5202-2-2-2-2−1−52−1+52−1−52−1+520000000−1−52−1+521+521−521+521−521+521−521+521−520000000
χ31222−1−52−1+52−1−52−1+522222222−1−52−1+5200-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-22i−2i2i−2i1+521−521+521−5200000001+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000
χ32222−1−52−1+52−1−52−1+522222222−1−52−1+5200-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2−2i2i−2i2i1+521−521+521−5200000001+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000
χ33222−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+520022−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520-222-2-2−1−52−1+52−1−52−1+5200000001+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000
χ34222−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+520022−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520-2-2-222−1−52−1+52−1−52−1+5200000001+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000
χ35222−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+5200-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52022i−2i−2i2i1+521−521+521−520000000−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000
χ36222−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+5200-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5202−2i2i2i−2i1+521−521+521−520000000−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000
χ37444444400-400004444000000-4-4000000004000000000-400000000000000000000000
χ38444444400-4000044-4-4000000-4-400000000-4000000000400000000000000000000000
χ39444−1+5−1−5−1+5−1−5-4-440000−1+5−1−5004-41−51−51+51+5−1+5−1−500000000000000−1+5−1−51−51+5000000000000000000000000
χ40444−1+5−1−5−1+5−1−5-4-440000−1+5−1−500-441−51−51+51+5−1+5−1−5000000000000001−51+5−1+5−1−5000000000000000000000000
χ41444−1−5−1+5−1−5−1+5-4-440000−1−5−1+5004-41+51+51−51−5−1−5−1+500000000000000−1−5−1+51+51−5000000000000000000000000
χ42444−1−5−1+5−1−5−1+5-4-440000−1−5−1+500-441+51+51−51−5−1−5−1+5000000000000001+51−5−1−5−1+5000000000000000000000000
χ4344-444440002i2i−2i−2i-4-444000000002i2i−2i−2i2i2i−2i−2i-40000000000002i2i−2i−2i00000000000000000
χ4444-444440002i2i−2i−2i-4-4-4-4000000002i2i−2i−2i2i2i−2i−2i4000000000000−2i−2i2i2i00000000000000000
χ4544-44444000−2i−2i2i2i-4-44400000000−2i−2i2i2i−2i−2i2i2i-4000000000000−2i−2i2i2i00000000000000000
χ4644-44444000−2i−2i2i2i-4-4-4-400000000−2i−2i2i2i−2i−2i2i2i40000000000002i2i−2i−2i00000000000000000
χ474-4044-4-42i−2i0−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39004i−4i002i−2i2i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000002-2−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000
χ484-4044-4-42i−2i0−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−4i4i002i−2i2i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000-222ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000
χ494-4044-4-42i−2i02ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39004i−4i002i−2i2i−2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000002-22ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000
χ504-4044-4-42i−2i02ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−4i4i002i−2i2i−2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000-22−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000
χ514-4044-4-4−2i2i0−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37004i−4i00−2i2i−2i2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000-222ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000
χ524-4044-4-4−2i2i0−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−4i4i00−2i2i−2i2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000002-2−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000
χ534-4044-4-4−2i2i02ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37004i−4i00−2i2i−2i2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000-22−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000
χ544-4044-4-4−2i2i02ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−4i4i00−2i2i−2i2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000002-22ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000
χ55888−2+25−2−25−2+25−2−2500-80000−2+25−2−25000000002−252+25000000000000000000000000000000000000000000
χ56888−2−25−2+25−2−25−2+2500-80000−2−25−2+25000000002+252−25000000000000000000000000000000000000000000
χ5788-8−2+25−2−25−2+25−2−250004i4i−4i−4i2−252+250000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000000000000000000000000000000000
χ5888-8−2+25−2−25−2+25−2−25000−4i−4i4i4i2−252+2500000000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ5988-8−2−25−2+25−2−25−2+250004i4i−4i−4i2+252−250000000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000000000000000000000000000000000
χ6088-8−2−25−2+25−2−25−2+25000−4i−4i4i4i2+252−2500000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ618-80−2+25−2−252−252+254i−4i0−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14002ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ232ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ390000000000000000000000000000000000
χ628-80−2+25−2−252−252+254i−4i04ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ23−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ390000000000000000000000000000000000
χ638-80−2+25−2−252−252+25−4i4i0−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14002ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ372ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ290000000000000000000000000000000000
χ648-80−2+25−2−252−252+25−4i4i04ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ37−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ290000000000000000000000000000000000
χ658-80−2−25−2+252+252−254i−4i0−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38002ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ392ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ668-80−2−25−2+252+252−254i−4i04ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ39−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ678-80−2−25−2+252+252−25−4i4i0−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38002ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ292ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ370000000000000000000000000000000000
χ688-80−2−25−2+252+252−25−4i4i04ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ29−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ370000000000000000000000000000000000

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