Finite Group Databasebeta

← Group #11987125

Character table — Group #11987125

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size112222222224444444444444888888888888888888888161616161616161616161616161616161616161616323280808080160160
order12255101010101010444882020202020202020448202020202020202020204040404040404040244881010101020202020404040404040404020201616161688
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-1-1-111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ511111111111111-1-11111111111-11111111111-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i
χ611111111111111-1-11111111111-11111111111-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii
χ711111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1ii−i−i−ii
χ811111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1−i−iiii−i
χ9222222222222222222222222002000000002222222222-20-200-2-2-2-2000000000000-2-2000000
χ1022222222222222-2-22222222200-20000000022-2-2-2-2-2-2-2-2-20200-2-2-2-200000000000022000000
χ11222−1+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+52−1−52−1−52002ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20-2001−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52000000
χ12222−1+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+52−1−52−1−52002−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20-2001−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52000000
χ13222−1+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+52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52000000
χ14222−1+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+52−1−52−1−52-2-221−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1−52000000
χ15222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−521−521−521−521−521+521+521+521+52-202001−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−52000000
χ16222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−521−521−521−521−521+521+521+521+52-202001−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−52000000
χ17222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2−1+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+5222-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521+52000000
χ18222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+522-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52000000
χ19222−1−52−1+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+52002−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-20-2001+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52000000
χ20222−1−52−1+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+52002ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-20-2001+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52000000
χ21222−1−52−1+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+52222−1−52−1−52−1−52−1−52−1+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+5222222−1−52−1−52−1+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+52000000
χ22222−1−52−1+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+52-2-221+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1+52000000
χ23222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1+521+521+521+521+521−521−521−521−52-202001+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1+52000000
χ24222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1+521+521+521+521+521−521−521−521−52-202001+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1+52000000
χ25222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521−52000000
χ26222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−522-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52000000
χ27444444444440-40000000000022022222222-4-4000000000-20000000-2-2-2-20000000000000000
χ28444444444440-400000000000-2-20-2-2-2-2-2-2-2-2-4-40000000002000000022220000000000000000
χ2944444444444-44-400-4-4-4-4-4-4-4-400000000000440000000000000000000000000000000000000
χ30444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-40002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36220−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ361−51+5000000000-200000002ζ282ζ122ζ42ζ360000000000000000
χ31444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-40002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36-2-202ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ361−51+500000000020000000−2ζ28−2ζ12−2ζ4−2ζ360000000000000000
χ32444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-4000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36220−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ41−51+5000000000-200000002ζ122ζ282ζ362ζ40000000000000000
χ33444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50-4000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36-2-202ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ41−51+500000000020000000−2ζ12−2ζ28−2ζ36−2ζ40000000000000000
χ34444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-4001−51−51+51+51−51−51+51+500000000000−1+5−1−500000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000
χ35444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-4001−51−51+51+51−51−51+51+500000000000−1+5−1−50000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000
χ36444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-4000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28220−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ281+51−5000000000-200000002ζ42ζ362ζ122ζ280000000000000000
χ37444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-4000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28-2-202ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ281+51−500000000020000000−2ζ4−2ζ36−2ζ12−2ζ280000000000000000
χ38444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-40002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28220−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ121+51−5000000000-200000002ζ362ζ42ζ282ζ120000000000000000
χ39444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50-40002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28-2-202ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ121+51−500000000020000000−2ζ36−2ζ4−2ζ28−2ζ120000000000000000
χ40444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-4001+51+51−51−51+51+51−51−500000000000−1−5−1+50000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000
χ41444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-4001+51+51−51−51+51+51−51−500000000000−1−5−1+500000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000
χ4244-444-4-4-4-444000220000000000-2000000000022-2-222-2-2000000000000000000000002−22−200
χ4344-444-4-4-4-444000220000000000-2000000000022-2-222-2-200000000000000000000000−22−2200
χ4444-444-4-4-4-444000-2-2000000000020000000000-2-222-2-22200000000000000000000000i2−i2−i2i200
χ4544-444-4-4-4-444000-2-2000000000020000000000-2-222-2-22200000000000000000000000−i2i2i2−i200
χ464-40440000-4-4-2022i2−2i2-2-2-2-222222i−2i02i−2i2i−2i2i−2i2i−2i002i2−2i2002i2−2i2000002−2000000002−22−22−22−200000000
χ474-40440000-4-4-2022i2−2i2-2-2-2-22222−2i2i0−2i2i−2i2i−2i2i−2i2i002i2−2i2002i2−2i200000−2200000000−22−22−22−2200000000
χ484-40440000-4-4-202−2i22i2-2-2-2-222222i−2i02i−2i2i−2i2i−2i2i−2i00−2i22i200−2i22i200000−2200000000−22−22−22−2200000000
χ494-40440000-4-4-202−2i22i2-2-2-2-22222−2i2i0−2i2i−2i2i−2i2i−2i2i00−2i22i200−2i22i2000002−2000000002−22−22−22−200000000
χ504-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-2022i2−2i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ362i−2i0−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390002−200000000ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ3100000000
χ514-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-2022i2−2i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ36−2i2i02ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000−2200000000−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ3100000000
χ524-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-202−2i22i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ362i−2i0−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000−2200000000−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ3100000000
χ534-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-202−2i22i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ36−2i2i02ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390002−200000000ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ3100000000
χ544-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-2022i2−2i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ42i−2i0−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390002−200000000−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ3900000000
χ554-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-2022i2−2i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ4−2i2i02ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000−2200000000ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ3900000000
χ564-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-202−2i22i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ42i−2i0−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000−2200000000ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ3900000000
χ574-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-202−2i22i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ4−2i2i02ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390002−200000000−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ3900000000
χ584-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-2022i2−2i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ282i−2i0−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370002−200000000ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ2300000000
χ594-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-2022i2−2i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ28−2i2i02ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000−2200000000−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ2300000000
χ604-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-202−2i22i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ282i−2i0−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000−2200000000−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ2300000000
χ614-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-202−2i22i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ28−2i2i02ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370002−200000000ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ2300000000
χ624-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-2022i2−2i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ122i−2i0−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200ζ21+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+ζ370002−200000000ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ3700000000
χ634-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-2022i2−2i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ12−2i2i02ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200ζ21+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+ζ37000−2200000000−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ3700000000
χ644-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-202−2i22i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ122i−2i0−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200−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−ζ37000−2200000000−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ3700000000
χ654-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-202−2i22i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ12−2i2i02ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200−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−ζ370002−200000000ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ3700000000
χ6688-8−2+25−2−252−252−252+252+25−2+25−2−25000440000000000-40000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000
χ6788-8−2+25−2−252−252−252+252+25−2+25−2−25000-4-40000000000400000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000
χ6888-8−2−25−2+252+252+252−252−25−2−25−2+25000440000000000-40000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000
χ6988-8−2−25−2+252+252+252−252−25−2−25−2+25000-4-40000000000400000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000
χ708-80880000-8-840-4004444-4-4-4-400000000000000000000000000000000000000000000000000
χ718-80−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+2540-400−4ζ28−4ζ12−4ζ4−4ζ364ζ284ζ124ζ44ζ3600000000000000000000000000000000000000000000000000
χ728-80−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+2540-400−4ζ12−4ζ28−4ζ36−4ζ44ζ124ζ284ζ364ζ400000000000000000000000000000000000000000000000000
χ738-80−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−2540-400−4ζ4−4ζ36−4ζ12−4ζ284ζ44ζ364ζ124ζ2800000000000000000000000000000000000000000000000000
χ748-80−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−2540-400−4ζ36−4ζ4−4ζ28−4ζ124ζ364ζ44ζ284ζ1200000000000000000000000000000000000000000000000000

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