Finite Group Databasebeta

← Group #12090656

Character table — Group #12090656

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222222222222444444444444488888888888888881010101016161616161616161616161616161616161616202020202020202020203232323240404040808080
order1222444455101010101010488882020202020202020248888202040404040404040408888448101020204040404040404040404040402222888888202020204444248
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11
χ41111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ511111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1
χ611111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1
χ811111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11
χ911111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-1
χ1011111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-111
χ1111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-11-1
χ1211111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11-11-11
χ1311111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11-1-111
χ1411111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-11111-111-1-1
χ1511111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-111-11
χ1611111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1111-1-11-1
χ1722222222−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222−1+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+52−1−52−1−520000000000−1+52−1−52−1+52−1−520000000
χ1822222222−1+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+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000001−521+521−521+520000000
χ1922222222−1+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+52−1−52-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+520000000
χ2022222222−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−520000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2−1+52−1−521−521−521+521+521−521−521+521+5200002-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−521−521+520000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222−1+52−1−521−521−521+521+521−521−521+521+520000-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−520000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−521+521+521−521−521+521+520000-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+52−1+52−1−520000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521+521+521−521−521+521+5200002-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+520000000
χ2522222222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222−1−52−1+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+520000000000−1−52−1+52−1−52−1+520000000
χ2622222222−1−52−1+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+5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000001+521−521+521−520000000
χ2722222222−1−52−1+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+52-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−520000000
χ2822222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+520000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2−1−52−1+521+521+521−521−521+521+521−521−5200002-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+521+521−520000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1+521+521+521−521−521+521+521−521−520000-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+520000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+521−521−521+521+521−521−520000-2221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−52−1−52−1+520000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521+521−521−521+521+521−521−5200002-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+521+521−520000000
χ3322222-2-2222222222-222-2-2-2-22222-2-2000000-2-2-2-2-2-22222000000000000000000000002222000000000000-2-2000
χ3422222-2-2222222222-222-2-2-2-22222-2-2000000-2-2-2-2-2-2222200000000000000000000000-2-2-2-200000000000022000
χ3522222-2-2222222222-2-2-222-2-22222-2-2000000-2-22222-2-2-2-20000000000000000000000022-2-2000000000000-22000
χ3622222-2-2222222222-2-2-222-2-22222-2-2000000-2-22222-2-2-2-200000000000000000000000-2-2220000000000002-2000
χ372222-222-222222222-2000022-2-2-2-2222-20000-2-200000000222200022-2-20000000000000000-2-2000000002-200000
χ382222-222-222222222-2000022-2-2-2-2222-20000-2-200000000-2-2-2-200022-2-200000000000000002200000000-2200000
χ392222-222-222222222-2000022-2-2-2-222-220000-2-2000000002222000-2-2220000000000000000-2-200000000-2200000
χ402222-222-222222222-2000022-2-2-2-222-220000-2-200000000-2-2-2-2000-2-222000000000000000022000000002-200000
χ412-22-2200-22222-2-2-2-202-20000-2-2220000i2−i2i2−i20000002-22-2i2i2−i2−i200000000000i2−i2i2−i2i2−i2i2−i22-22-2i2−i2i2i2−i2−i200000000000
χ422-22-2200-22222-2-2-2-202-20000-2-2220000i2−i2i2−i20000002-22-2−i2−i2i2i200000000000i2−i2i2−i2i2−i2i2−i2-22-22−i2i2−i2−i2i2i200000000000
χ432-22-2200-22222-2-2-2-202-20000-2-2220000−i2i2−i2i20000002-22-2i2i2−i2−i200000000000−i2i2−i2i2−i2i2−i2i2-22-22i2−i2i2i2−i2−i200000000000
χ442-22-2200-22222-2-2-2-202-20000-2-2220000−i2i2−i2i20000002-22-2−i2−i2i2i200000000000−i2i2−i2i2−i2i2−i2i22-22-2−i2i2−i2−i2i2i200000000000
χ452-22-2200-22222-2-2-2-20-220000-2-2220000i2−i2−i2i2000000-22-22i2i2−i2−i200000000000i2−i2i2−i2−i2i2−i2i22-2-22i2−i2−i2−i2i2i200000000000
χ462-22-2200-22222-2-2-2-20-220000-2-2220000i2−i2−i2i2000000-22-22−i2−i2i2i200000000000i2−i2i2−i2−i2i2−i2i2-222-2−i2i2i2i2−i2−i200000000000
χ472-22-2200-22222-2-2-2-20-220000-2-2220000−i2i2i2−i2000000-22-22i2i2−i2−i200000000000−i2i2−i2i2i2−i2i2−i2-222-2i2−i2−i2−i2i2i200000000000
χ482-22-2200-22222-2-2-2-20-220000-2-2220000−i2i2i2−i2000000-22-22−i2−i2i2i200000000000−i2i2−i2i2i2−i2i2−i22-2-22−i2i2i2i2−i2−i200000000000
χ4944444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-444-4-41−51+5−1+5−1−5−1+5−1−51−51+50000001−51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000
χ5044444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4-4441−51+5−1+5−1−5−1+5−1−51−51+50000001−51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000
χ5144444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-444-4-41+51−5−1−5−1+5−1−5−1+51+51−50000001+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000
χ5244444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4-4441+51−5−1−5−1+5−1−5−1+51+51−50000001+51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000
χ534444-444-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-40000−1+5−1−51−51+51−51+5−1+5−1−54-400001−51+5000000000000000−1+5−1−51−51+5000000000000000000000000000000000
χ544444-444-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-40000−1+5−1−51−51+51−51+5−1+5−1−5-4400001−51+50000000000000001−51+5−1+5−1−5000000000000000000000000000000000
χ554444-444-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-40000−1−5−1+51+51−51+51−5−1−5−1+54-400001+51−5000000000000000−1−5−1+51+51−5000000000000000000000000000000000
χ564444-444-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-40000−1−5−1+51+51−51+51−5−1−5−1+5-4400001+51−50000000000000001+51−5−1−5−1+5000000000000000000000000000000000
χ574444-4-4-4-44444444440000-4-4-4-4-4-4-4-4000000440000000000000000000000000000000000000000000000000000
χ584444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5400001−51+51−51+51−51+51−51+5000000−1+5−1−50000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000
χ594444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5400001−51+51−51+51−51+51−51+5000000−1+5−1−500000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000
χ604444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5400001+51−51+51−51+51−51+51−5000000−1−5−1+500000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000
χ614444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5400001+51−51+51−51+51−51+51−5000000−1−5−1+50000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000
χ6244-4-4000044-4-44-44-40002i2−2i200000000000000002i2−2i22i2−2i2000022−2222−2200000000000000000000000002i−2i2i−2i00000000000
χ6344-4-4000044-4-44-44-40002i2−2i200000000000000002i2−2i22i2−2i20000−2222−22220000000000000000000000000−2i2i−2i2i00000000000
χ6444-4-4000044-4-44-44-4000−2i22i20000000000000000−2i22i2−2i22i2000022−2222−220000000000000000000000000−2i2i−2i2i00000000000
χ6544-4-4000044-4-44-44-4000−2i22i20000000000000000−2i22i2−2i22i20000−2222−222200000000000000000000000002i−2i2i−2i00000000000
χ664-44-4400-4−1+5−1−5−1+5−1−51−51−51+51+504-400001−51+5−1+5−1−500002i2−2i22i2−2i2000000−1+51−5−1−51+5000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000
χ674-44-4400-4−1+5−1−5−1+5−1−51−51−51+51+504-400001−51+5−1+5−1−50000−2i22i2−2i22i2000000−1+51−5−1−51+5000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000
χ684-44-4400-4−1+5−1−5−1+5−1−51−51−51+51+50-4400001−51+5−1+5−1−500002i2−2i2−2i22i20000001−5−1+51+5−1−5000000000000000ζ7+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+ζ39000000000000000000000
χ694-44-4400-4−1+5−1−5−1+5−1−51−51−51+51+50-4400001−51+5−1+5−1−50000−2i22i22i2−2i20000001−5−1+51+5−1−5000000000000000−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−ζ39000000000000000000000
χ704-44-4400-4−1−5−1+5−1−5−1+51+51+51−51−504-400001+51−5−1−5−1+500002i2−2i22i2−2i2000000−1−51+5−1+51−5000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000
χ714-44-4400-4−1−5−1+5−1−5−1+51+51+51−51−504-400001+51−5−1−5−1+50000−2i22i2−2i22i2000000−1−51+5−1+51−5000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000
χ724-44-4400-4−1−5−1+5−1−5−1+51+51+51−51−50-4400001+51−5−1−5−1+500002i2−2i2−2i22i20000001+5−1−51−5−1+5000000000000000ζ21+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+ζ37000000000000000000000
χ734-44-4400-4−1−5−1+5−1−5−1+51+51+51−51−50-4400001+51−5−1−5−1+50000−2i22i22i2−2i20000001+5−1−51−5−1+5000000000000000−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−ζ37000000000000000000000
χ744-44-4-40044444-4-4-4-4000000044-4-40000000000000000002i22i2−2i2−2i200000000000000000000000−2i22i2000000000000000
χ754-44-4-40044444-4-4-4-4000000044-4-4000000000000000000−2i2−2i22i22i2000000000000000000000002i2−2i2000000000000000
χ764-4-4404-4044-4-4-44-4400000440000-4-400000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ774-4-4404-4044-4-4-44-4400000440000-4-40000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ784-4-440-44044-4-4-44-4400000-4-400004400000000000000000000000000000000000000000000022−22−222200000000000
χ794-4-440-44044-4-4-44-4400000-4-4000044000000000000000000000000000000000000000000000−222222−2200000000000
χ8088-8-80000−2+25−2−252−252+25−2+252−25−2−252+250004i2−4i200000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39000000000000000000000000000000000000000000000000
χ8188-8-80000−2+25−2−252−252+25−2+252−25−2−252+25000−4i24i20000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39000000000000000000000000000000000000000000000000
χ8288-8-80000−2−25−2+252+252−25−2−252+25−2+252−250004i2−4i200000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37000000000000000000000000000000000000000000000000
χ8388-8-80000−2−25−2+252+252−25−2−252+25−2+252−25000−4i24i20000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37000000000000000000000000000000000000000000000000
χ848-88-8-8008−2+25−2−25−2+25−2−252−252−252+252+250000000−2+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000
χ858-88-8-8008−2−25−2+25−2−25−2+252+252+252−252−250000000−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000
χ868-8-8808-80−2+25−2−252−252+252−25−2+252+25−2−2500000−2+25−2−2500002−252+25000000000000000000000000000000000000000000000000000000000000
χ878-8-8808-80−2−25−2+252+252−252+25−2−252−25−2+2500000−2−25−2+2500002+252−25000000000000000000000000000000000000000000000000000000000000
χ888-8-880-880−2+25−2−252−252+252−25−2+252+25−2−25000002−252+250000−2+25−2−25000000000000000000000000000000000000000000000000000000000000
χ898-8-880-880−2−25−2+252+252−252+25−2−252−25−2+25000002+252−250000−2−25−2+25000000000000000000000000000000000000000000000000000000000000

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