Finite Group Databasebeta

← Group #12012697

Character table — Group #12012697

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222222222224444444444444444448888888888161616161616161616161616161616161616162020202020202020323232323240408080808080
order12244558888101044881010202020204040404040404040242020202040404040810101616202040404040808080808080808088888888210101010244481616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1
χ51111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111-1-111111111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ71111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1
χ81111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111
χ9222222222-2-222-2-2-22222222-2-2-2-2222222-2-2-2-222-2-2-2220022-2-2-2-20000000000000000000000000000
χ10222222222-2-222-2-2-22222222-2-2-2-22222-2-2-2-2-2-222-2-22-2-200-2-222220000000000000000000000000000
χ112222222-2-22222-2-22-22222222222-2-2-2-200-2-2-2-2-2-222000000000000000000000000000000002200-200
χ122222222-2-22222-2-22-22222222222-2-2-2-200-2-2-2-2-2-22200000000000000000000000000000000-2-200200
χ132222222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002222-2-2-2-200000000000000000000000000000000002-2000
χ142222222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000000000000000000000-22000
χ1522222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000002−1+52−1+52−1−52−1−520000000
χ1622222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000-21−521−521+521+520000000
χ1722222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-21−521+52221−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-21−521−521+521+520000000
χ1822222−1+52−1−522222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-21−521+52-2-21−521+521−521−521+521+521−521−521−521−521+521+521+521+52000000002−1+52−1+52−1−52−1−520000000
χ1922222−1+52−1−5222-2-2−1+52−1−52-2-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52221−521−521+521+52−1+52−1−521−521+52-2−1+52−1−5200−1+52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ2022222−1+52−1−5222-2-2−1+52−1−52-2-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52221−521−521+521+52−1+52−1−521−521+52-2−1+52−1−5200−1+52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ2122222−1+52−1−5222-2-2−1+52−1−52-2-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−521−521+5221−521+52001−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ2222222−1+52−1−5222-2-2−1+52−1−52-2-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−521−521+5221−521+52001−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ2322222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000002−1−52−1−52−1+52−1+520000000
χ2422222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000-21+521+521−521−520000000
χ2522222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-21+521−52221+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-21+521+521−521−520000000
χ2622222−1−52−1+522222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-21+521−52-2-21+521−521+521+521−521−521+521+521+521+521−521−521−521−52000000002−1−52−1−52−1+52−1+520000000
χ2722222−1−52−1+5222-2-2−1−52−1+52-2-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52221+521+521−521−52−1−52−1+521+521−52-2−1−52−1+5200−1−52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ2822222−1−52−1+5222-2-2−1−52−1+52-2-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52221+521+521−521−52−1−52−1+521+521−52-2−1−52−1+5200−1−52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ2922222−1−52−1+5222-2-2−1−52−1+52-2-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+521+521−5221+521−52001+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ3022222−1−52−1+5222-2-2−1−52−1+52-2-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+521+521−5221+521−52001+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ3122-22-22200222200-20-2-2-2-2222222000000000000-2-20002−20000002−22−22−22−22222−2−2−2−2000002-200000
χ3222-22-22200222200-20-2-2-2-2222222000000000000-2-20002−20000002−22−22−22−2−2−2−2−2222200000-2200000
χ3322-22-22200222200-20-2-2-2-2222222000000000000-2-2000−22000000−22−22−22−222222−2−2−2−200000-2200000
χ3422-22-22200222200-20-2-2-2-2222222000000000000-2-2000−22000000−22−22−22−22−2−2−2−22222000002-200000
χ3522-2-2222220022000-2-2-222-2-2000022222-20000-2-20002200-2-200000000000022−2−222−2−200000000002−2
χ3622-2-2222220022000-2-2-222-2-2000022222-20000-2-20002200-2-2000000000000−2−222−2−2220000000000−22
χ3722-2-2222220022000-2-2-222-2-200002222-220000-2-2000-2-2002200000000000022−2−222−2−20000000000−22
χ3822-2-2222220022000-2-2-222-2-200002222-220000-2-2000-2-20022000000000000−2−222−2−22200000000002−2
χ3944444−1+5−1−5-4-444−1+5−1−5-4-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5001−51−51+51+51−51+5−1+5−1−5000000000000000000000000000000000000000
χ4044444−1+5−1−5-4-4-4-4−1+5−1−544-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+500−1+5−1+5−1−5−1−51−51+51−51+5000000000000000000000000000000000000000
χ4144444−1−5−1+5-4-444−1−5−1+5-4-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5001+51+51−51−51+51−5−1−5−1+5000000000000000000000000000000000000000
χ4244444−1−5−1+5-4-4-4-4−1−5−1+544-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−500−1−5−1−5−1+5−1+51+51−51+51−5000000000000000000000000000000000000000
χ43444-4-444000044000044-4-4-4-4000000000000000000000000000000000000022-2-2-2-222000000000000
χ44444-4-444000044000044-4-4-4-40000000000000000000000000000000000000-2-22222-2-2000000000000
χ4544-44-44400-4-4440040-4-4-4-444-4-4-4-400000000000044000000000000000000000000000000000000000
χ4644-44-4−1+5−1−50044−1+5−1−500-401−51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−50000000000001−51+500022−22000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000
χ4744-44-4−1+5−1−50044−1+5−1−500-401−51+51−51+5−1+5−1−5−1+5−1+5−1−5−1−50000000000001−51+5000−2222000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000
χ4844-44-4−1+5−1−500-4-4−1+5−1−500401−51+51−51+5−1+5−1−51−51−51+51+5000000000000−1+5−1−500000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000
χ4944-44-4−1+5−1−500-4-4−1+5−1−500401−51+51−51+5−1+5−1−51−51−51+51+5000000000000−1+5−1−500000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000
χ5044-44-4−1−5−1+50044−1−5−1+500-401+51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+50000000000001+51−500022−22000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000
χ5144-44-4−1−5−1+50044−1−5−1+500-401+51−51+51−5−1−5−1+5−1−5−1−5−1+5−1+50000000000001+51−5000−2222000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000
χ5244-44-4−1−5−1+500-4-4−1−5−1+500401+51−51+51−5−1−5−1+51+51+51−51−5000000000000−1−5−1+500000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000
χ5344-44-4−1−5−1+500-4-4−1−5−1+500401+51−51+51−5−1−5−1+51+51+51−51−5000000000000−1−5−1+500000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000
χ5444-4-4444-4-400440004-4-444-4-40000-4-4-4-40000004400000000000000000000000000000000000000000
χ5544-4-44−1+5−1−54400−1+5−1−5000-41−51+5−1+5−1−51−51+50000−1+5−1+5−1−5−1−54-400001−51+5000−1+5−1−5001−51+500000000000000000000000000000000
χ5644-4-44−1+5−1−54400−1+5−1−5000-41−51+5−1+5−1−51−51+50000−1+5−1+5−1−5−1−5-4400001−51+50001−51+500−1+5−1−500000000000000000000000000000000
χ5744-4-44−1+5−1−5-4-400−1+5−1−500041−51+5−1+5−1−51−51+500001−51−51+51+5000000−1+5−1−5000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000
χ5844-4-44−1+5−1−5-4-400−1+5−1−500041−51+5−1+5−1−51−51+500001−51−51+51+5000000−1+5−1−50000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000
χ5944-4-44−1−5−1+54400−1−5−1+5000-41+51−5−1−5−1+51+51−50000−1−5−1−5−1+5−1+54-400001+51−5000−1−5−1+5001+51−500000000000000000000000000000000
χ6044-4-44−1−5−1+54400−1−5−1+5000-41+51−5−1−5−1+51+51−50000−1−5−1−5−1+5−1+5-4400001+51−50001+51−500−1−5−1+500000000000000000000000000000000
χ6144-4-44−1−5−1+5-4-400−1−5−1+500041+51−5−1−5−1+51+51−500001+51+51−51−5000000−1−5−1+50000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000
χ6244-4-44−1−5−1+5-4-400−1−5−1+500041+51−5−1−5−1+51+51−500001+51+51−51−5000000−1−5−1+5000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000
χ634-40004422−2222−22-4-42-20000000022−2222−2222−2222−22002-22-200000000000000000000000i2−i2−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ392ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ392ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ39i2−i2000000000000
χ644-40004422−2222−22-4-42-20000000022−2222−2222−2222−22002-22-200000000000000000000000−i2i22ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ39−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ392ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39−i2i2000000000000
χ654-40004422−22−2222-4-4-2200000000−2222−222222−2222−2200-22-2200000000000000000000000−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ392ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39−i2i2−i2i22ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ39000000000000
χ664-40004422−22−2222-4-4-2200000000−2222−222222−2222−2200-22-22000000000000000000000002ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ39i2−i2i2−i2−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ392ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39000000000000
χ674-400044−222222−22-4-4-220000000022−2222−22−2222−222200-22-22000000000000000000000002ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ39−i2i2−i2i2−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ392ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39000000000000
χ684-400044−222222−22-4-4-220000000022−2222−22−2222−222200-22-2200000000000000000000000−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ392ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39i2−i2i2−i22ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ39000000000000
χ694-400044−2222−2222-4-42-200000000−2222−2222−2222−2222002-22-200000000000000000000000i2−i22ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ39−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ39−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ392ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39i2−i2000000000000
χ704-400044−2222−2222-4-42-200000000−2222−2222−2222−2222002-22-200000000000000000000000−i2i2−2ζ6+ζ7+ζ13−2ζ14+ζ21−2ζ22+ζ23+ζ29+ζ31+ζ37−2ζ38+ζ392ζ6−ζ7−ζ13+2ζ14−ζ21+2ζ22−ζ23−ζ29−ζ31−ζ37+2ζ38−ζ392ζ6+ζ7+ζ13+2ζ14+ζ21+2ζ22+ζ23+ζ29+ζ31+ζ37+2ζ38+ζ39−2ζ6−ζ7−ζ13−2ζ14−ζ21−2ζ22−ζ23−ζ29−ζ31−ζ37−2ζ38−ζ39−i2i2000000000000
χ71888-8-8−2+25−2−250000−2+25−2−250000−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000
χ72888-8-8−2−25−2+250000−2−25−2+250000−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000
χ738-8000−2+25−2−2542−4242−422−252+254-400000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ3900−1+51−5−1−51+50000000000000000000000000000000000000000000
χ748-8000−2+25−2−2542−42−42422−252+25-44000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ758-8000−2+25−2−25−424242−422−252+25-4400000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ768-8000−2+25−2−25−4242−42422−252+254-4000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ3900−1+51−5−1−51+50000000000000000000000000000000000000000000
χ778-8000−2−25−2+2542−4242−422+252−254-4000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ3700−1−51+5−1+51−50000000000000000000000000000000000000000000
χ788-8000−2−25−2+2542−42−42422+252−25-4400000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ798-8000−2−25−2+25−424242−422+252−25-44000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ808-8000−2−25−2+25−4242−42422+252−254-400000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3700−1−51+5−1+51−50000000000000000000000000000000000000000000

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