Finite Group Databasebeta

← Group #12020025

Character table — Group #12020025

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1122222222244444444444448888888888888888888888816161616161616161616161616161616161616163232404040408080160160
order1225510101010101044488202020202020202022448202020202020202020204040404040404040448810101010202020204040404040404040202022448844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ511111111111111-1-1111111111111-11111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ611111111111111-1-1111111111111-11111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ711111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11-11-11-1-11
χ811111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-11-11-111-1
χ9222222222222222222222222-2-2002000000002222222222-2000-2-2-2-2000000000000-2-200000000
χ1022222222222222-2-222222222-2-200-20000000022-2-2-2-2-2-2-2-22000-2-2-2-20000000000002200000000
χ1122222222222-2-2200-2-2-2-2-2-2-2-22-2000000000002200000000000022-2-20000000000000002020-200
χ1222222222222-2-2200-2-2-2-2-2-2-2-22-2000000000002200000000000022-2-2000000000000000-20-20200
χ1322222222222-2-2200-2-2-2-2-2-2-2-2-220000000000022000000000000-2-222000000000000002020-2000
χ1422222222222-2-2200-2-2-2-2-2-2-2-2-220000000000022000000000000-2-22200000000000000-20-202000
χ15222−1+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+52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−5200000000
χ16222−1+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+52−1−52−1−5222-2-221−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1−5200000000
χ17222−1+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+52−1−52−1−52-2-2002ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+5200000000
χ18222−1+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+52−1−52−1−52-2-2002−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+5200000000
χ19222−1+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+52−1−52−1−522222-2−1+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+52-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521+5200000000
χ20222−1+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+52−1−52−1−5222-2-2-21−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-222−1+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+5200000000
χ21222−1+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+52−1−52−1−52-2-200-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−521−521−521−521−521+521+521+521+5220001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−5200000000
χ22222−1+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+52−1−52−1−52-2-200-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1−521−521−521−521−521+521+521+521+5220001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1−5200000000
χ23222−1−52−1+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+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+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+52−1+52−1+52−1−52−1+5200000000
χ24222−1−52−1+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+5222-2-221+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+522-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1+5200000000
χ25222−1−52−1+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+52-2-2002−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+52-20001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−5200000000
χ26222−1−52−1+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+52-2-2002ζ4−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+52-20001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−5200000000
χ27222−1−52−1+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+522222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521−5200000000
χ28222−1−52−1+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+5222-2-2-21+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-222−1−52−1+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+521−5200000000
χ29222−1−52−1+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+52-2-200-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1+521+521+521+521+521−521−521−521−5220001+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+5200000000
χ30222−1−52−1+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+52-2-200-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1+521+521+521+521+521−521−521−521−5220001+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+5200000000
χ314444444444400-400000000000022022222222-4-4000000000-2000000-2-2-2-2000000000000000000
χ324444444444400-4000000000000-2-20-2-2-2-2-2-2-2-2-4-400000000020000002222000000000000000000
χ33444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-4002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600220−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ361−51+5000000000-20000002ζ282ζ122ζ42ζ36000000000000000000
χ34444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-4002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600-2-202ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ361−51+50000000002000000−2ζ28−2ζ12−2ζ4−2ζ36000000000000000000
χ35444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-400−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600220−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ41−51+5000000000-20000002ζ122ζ282ζ362ζ4000000000000000000
χ36444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-400−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600-2-202ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ41−51+50000000002000000−2ζ12−2ζ28−2ζ36−2ζ4000000000000000000
χ37444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44001−51−51+51+51−51−51+51+54-400000000000−1+5−1−5000000000000−1+5−1−51−51+50000000000000000000000
χ38444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44001−51−51+51+51−51−51+51+5-4400000000000−1+5−1−50000000000001−51+5−1+5−1−50000000000000000000000
χ39444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-400−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800220−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ281+51−5000000000-20000002ζ42ζ362ζ122ζ28000000000000000000
χ40444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-400−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800-2-202ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ281+51−50000000002000000−2ζ4−2ζ36−2ζ12−2ζ28000000000000000000
χ41444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-4002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800220−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ121+51−5000000000-20000002ζ362ζ42ζ282ζ12000000000000000000
χ42444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-4002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800-2-202ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ121+51−50000000002000000−2ζ36−2ζ4−2ζ28−2ζ12000000000000000000
χ43444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44001+51+51−51−51+51+51−51−54-400000000000−1−5−1+5000000000000−1−5−1+51+51−50000000000000000000000
χ44444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44001+51+51−51−51+51+51−51−5-4400000000000−1−5−1+50000000000001+51−5−1−5−1+50000000000000000000000
χ4544-444-4-4-4-44400022000000000000-2000000000022-2-222-2-200000000000000000000002-2-220000
χ4644-444-4-4-4-44400022000000000000-2000000000022-2-222-2-20000000000000000000000-222-20000
χ4744-444-4-4-4-444000-2-200000000000020000000000-2-222-2-222000000000000000000000022-2-20000
χ4844-444-4-4-4-444000-2-200000000000020000000000-2-222-2-2220000000000000000000000-2-2220000
χ494-40440000-4-4-2202i2−2i2-2-2-2-22222002i−2i02i−2i2i−2i2i−2i2i−2i002i2−2i2002i2−2i200002−2000000002−22−22−22−20000000000
χ504-40440000-4-4-2202i2−2i2-2-2-2-2222200−2i2i0−2i2i−2i2i−2i2i−2i2i002i2−2i2002i2−2i20000−2200000000−22−22−22−220000000000
χ514-40440000-4-4-220−2i22i2-2-2-2-22222002i−2i02i−2i2i−2i2i−2i2i−2i00−2i22i200−2i22i20000−2200000000−22−22−22−220000000000
χ524-40440000-4-4-220−2i22i2-2-2-2-2222200−2i2i0−2i2i−2i2i−2i2i−2i2i00−2i22i200−2i22i200002−2000000002−22−22−22−20000000000
χ534-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-2202i2−2i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ36002i−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−ζ39002−200000000ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ310000000000
χ544-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-2202i2−2i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ3600−2i2i02ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600ζ7+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−ζ3900−2200000000−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ310000000000
χ554-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-220−2i22i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ36002i−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+ζ3900−2200000000−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ310000000000
χ564-40−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5-220−2i22i22ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ3600−2i2i02ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600−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+ζ39002−200000000ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ310000000000
χ574-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-2202i2−2i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ4002i−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+ζ39002−200000000−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ390000000000
χ584-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-2202i2−2i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ400−2i2i02ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400ζ7+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+ζ3900−2200000000ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ390000000000
χ594-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-220−2i22i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ4002i−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−ζ3900−2200000000ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ390000000000
χ604-40−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5-220−2i22i22ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ400−2i2i02ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400−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−ζ39002−200000000−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ390000000000
χ614-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-2202i2−2i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ28002i−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−ζ37002−200000000ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ230000000000
χ624-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-2202i2−2i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ2800−2i2i02ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800ζ21+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−ζ3700−2200000000−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ230000000000
χ634-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-220−2i22i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ28002i−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+ζ3700−2200000000−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ230000000000
χ644-40−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5-220−2i22i22ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ2800−2i2i02ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800−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+ζ37002−200000000ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ230000000000
χ654-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-2202i2−2i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ12002i−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+ζ37002−200000000ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ370000000000
χ664-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-2202i2−2i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ1200−2i2i02ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200ζ21+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+ζ3700−2200000000−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ370000000000
χ674-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-220−2i22i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ12002i−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−ζ3700−2200000000−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ370000000000
χ684-40−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5-220−2i22i22ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ1200−2i2i02ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200−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−ζ37002−200000000ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ370000000000
χ6988-8−2+25−2−252−252−252+252+25−2+25−2−2500044000000000000-40000000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000
χ7088-8−2+25−2−252−252−252+252+25−2+25−2−25000-4-4000000000000400000000001−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000
χ7188-8−2−25−2+252+252+252−252−25−2−25−2+2500044000000000000-40000000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000
χ7288-8−2−25−2+252+252+252−252−25−2−25−2+25000-4-4000000000000400000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000
χ738-80880000-8-84-40004444-4-4-4-400000000000000000000000000000000000000000000000000000
χ748-80−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+254-4000−4ζ28−4ζ12−4ζ4−4ζ364ζ284ζ124ζ44ζ3600000000000000000000000000000000000000000000000000000
χ758-80−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+254-4000−4ζ12−4ζ28−4ζ36−4ζ44ζ124ζ284ζ364ζ400000000000000000000000000000000000000000000000000000
χ768-80−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−254-4000−4ζ4−4ζ36−4ζ12−4ζ284ζ44ζ364ζ124ζ2800000000000000000000000000000000000000000000000000000
χ778-80−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−254-4000−4ζ36−4ζ4−4ζ28−4ζ124ζ364ζ44ζ284ζ1200000000000000000000000000000000000000000000000000000

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