Finite Group Databasebeta

← Group #11987126

Character table — Group #11987126

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122222444444444444444444488888888816161616161616161616161616161616161616161616323232324040808080160160
order12255101044488101020202020404040404040404082020202040404040241616161680808080808080808080808080808080101020204448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ51111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-1i−i
χ61111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-111−ii
χ71111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-1−ii
χ81111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-111i−i
χ922222222222222222222222222222222222-2-200000000000000000000-2-2-2-20000000
χ102222222222-2-2222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2200000000000000000000-2-2220000000
χ11222−1+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+52−1−52−1−52−1−52−1−522−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−520000000
χ12222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−520000000
χ13222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+521−521+520000000
χ14222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+521−521+520000000
χ15222−1+52−1−52−1+52−1−52222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+522-22i2i−2i−2i−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−1+52−1−521−521+520000000
χ16222−1+52−1−52−1+52−1−52222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+522-2−2i−2i2i2iζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−1+52−1−521−521+520000000
χ17222−1+52−1−52−1+52−1−52222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+52-220000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ141−521+52−1+52−1−520000000
χ18222−1+52−1−52−1+52−1−52222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+52-220000ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ141−521+52−1+52−1−520000000
χ19222−1−52−1+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+522−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+520000000
χ20222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+520000000
χ21222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−521+521−520000000
χ22222−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−521+521−520000000
χ23222−1−52−1+52−1−52−1+52222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−522-22i2i−2i−2i−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−1−52−1+521+521−520000000
χ24222−1−52−1+52−1−52−1+52222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−522-2−2i−2i2i2iζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−1−52−1+521+521−520000000
χ25222−1−52−1+52−1−52−1+52222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52-220000ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ381+521−52−1−52−1+520000000
χ26222−1−52−1+52−1−52−1+52222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52-220000−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ381+521−52−1−52−1+520000000
χ2744444440-400044-4-4-4-4000000000000000000000000000000000000000000022-20000
χ2844444440-400044-4-4-4-40000000000000000000000000000000000000000000-2-220000
χ294444444-44-400444444000000000-4-4-4-40000000000000000000000000000000000000
χ30444−1+5−1−5−1+5−1−5-44-400−1+5−1−5−1+5−1+5−1−5−1−52ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ28−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ3601−51−51+51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000
χ31444−1+5−1−5−1+5−1−5-44-400−1+5−1−5−1+5−1+5−1−5−1−5−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ282ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ3601−51−51+51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000
χ32444−1−5−1+5−1−5−1+5-44-400−1−5−1+5−1−5−1−5−1+5−1+5−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ2801+51+51−51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000
χ33444−1−5−1+5−1−5−1+5-44-400−1−5−1+5−1−5−1−5−1+5−1+52ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ2801+51+51−51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000
χ3444-4444400022-4-4000022222222-20000-2-2-2-2002−22−22−22−22−22−22−22−22−22−200000000000
χ3544-4444400022-4-4000022222222-20000-2-2-2-200−22−22−22−22−22−22−22−22−22−2200000000000
χ3644-44444000-2-2-4-40000-2-2-2-2-2-2-2-220000222200i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000
χ3744-44444000-2-2-4-40000-2-2-2-2-2-2-2-220000222200−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000
χ3844-4−1+5−1−5−1+5−1−5000221−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ36-200002ζ282ζ122ζ42ζ36002−22−2ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ3100000000000
χ3944-4−1+5−1−5−1+5−1−5000221−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ28−2ζ28−2ζ12−2ζ12−2ζ4−2ζ4−2ζ36−2ζ36-200002ζ282ζ122ζ42ζ3600−22−22−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ3100000000000
χ4044-4−1+5−1−5−1+5−1−5000221−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ4-200002ζ122ζ282ζ362ζ4002−22−2−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ3900000000000
χ4144-4−1+5−1−5−1+5−1−5000221−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12−2ζ12−2ζ28−2ζ28−2ζ36−2ζ36−2ζ4−2ζ4-200002ζ122ζ282ζ362ζ400−22−22ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ3900000000000
χ4244-4−1+5−1−5−1+5−1−5000-2-21−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ3620000−2ζ28−2ζ12−2ζ4−2ζ3600i2−i2−i2i2ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ3100000000000
χ4344-4−1+5−1−5−1+5−1−5000-2-21−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ282ζ282ζ122ζ122ζ42ζ42ζ362ζ3620000−2ζ28−2ζ12−2ζ4−2ζ3600−i2i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ3100000000000
χ4444-4−1+5−1−5−1+5−1−5000-2-21−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ420000−2ζ12−2ζ28−2ζ36−2ζ400i2−i2−i2i2ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ3900000000000
χ4544-4−1+5−1−5−1+5−1−5000-2-21−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ122ζ122ζ282ζ282ζ362ζ362ζ42ζ420000−2ζ12−2ζ28−2ζ36−2ζ400−i2i2i2−i2−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ3900000000000
χ4644-4−1−5−1+5−1−5−1+5000221+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ28-200002ζ42ζ362ζ122ζ28002−22−2ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ23ζ29−ζ39−ζ29+ζ39ζ21−ζ31−ζ21+ζ31−ζ7+ζ37ζ7−ζ37ζ13−ζ23−ζ13+ζ2300000000000
χ4744-4−1−5−1+5−1−5−1+5000221+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4−2ζ4−2ζ36−2ζ36−2ζ12−2ζ12−2ζ28−2ζ28-200002ζ42ζ362ζ122ζ2800−22−22−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ23−ζ29+ζ39ζ29−ζ39−ζ21+ζ31ζ21−ζ31ζ7−ζ37−ζ7+ζ37−ζ13+ζ23ζ13−ζ2300000000000
χ4844-4−1−5−1+5−1−5−1+5000221+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ12-200002ζ362ζ42ζ282ζ12002−22−2ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ37ζ21−ζ31−ζ21+ζ31ζ29−ζ39−ζ29+ζ39ζ13−ζ23−ζ13+ζ23−ζ7+ζ37ζ7−ζ3700000000000
χ4944-4−1−5−1+5−1−5−1+5000221+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ36−2ζ36−2ζ4−2ζ4−2ζ28−2ζ28−2ζ12−2ζ12-200002ζ362ζ42ζ282ζ1200−22−22−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ37−ζ21+ζ31ζ21−ζ31−ζ29+ζ39ζ29−ζ39−ζ13+ζ23ζ13−ζ23ζ7−ζ37−ζ7+ζ3700000000000
χ5044-4−1−5−1+5−1−5−1+5000-2-21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ2820000−2ζ4−2ζ36−2ζ12−2ζ2800i2−i2−i2i2ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ23−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ2300000000000
χ5144-4−1−5−1+5−1−5−1+5000-2-21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ42ζ42ζ362ζ362ζ122ζ122ζ282ζ2820000−2ζ4−2ζ36−2ζ12−2ζ2800−i2i2i2−i2−ζ29−ζ39ζ29+ζ39−ζ21−ζ31ζ21+ζ31−ζ7−ζ37ζ7+ζ37−ζ13−ζ23ζ13+ζ23ζ29+ζ39−ζ29−ζ39ζ21+ζ31−ζ21−ζ31ζ7+ζ37−ζ7−ζ37ζ13+ζ23−ζ13−ζ2300000000000
χ5244-4−1−5−1+5−1−5−1+5000-2-21+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ1220000−2ζ36−2ζ4−2ζ28−2ζ1200i2−i2−i2i2ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ37−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ3700000000000
χ5344-4−1−5−1+5−1−5−1+5000-2-21+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ362ζ362ζ42ζ42ζ282ζ282ζ122ζ1220000−2ζ36−2ζ4−2ζ28−2ζ1200−i2i2i2−i2−ζ21−ζ31ζ21+ζ31−ζ29−ζ39ζ29+ζ39−ζ13−ζ23ζ13+ζ23−ζ7−ζ37ζ7+ζ37ζ21+ζ31−ζ21−ζ31ζ29+ζ39−ζ29−ζ39ζ13+ζ23−ζ13−ζ23ζ7+ζ37−ζ7−ζ3700000000000
χ544-4044-4-4-2022i2−2i20000002i2−2i22i2−2i22i2−2i22i2−2i202-22-20000000000000000000000000000002i−2i02−200
χ554-4044-4-4-2022i2−2i20000002i2−2i22i2−2i22i2−2i22i2−2i202-22-2000000000000000000000000000000−2i2i0−2200
χ564-4044-4-4-202−2i22i2000000−2i22i2−2i22i2−2i22i2−2i22i202-22-20000000000000000000000000000002i−2i0−2200
χ574-4044-4-4-202−2i22i2000000−2i22i2−2i22i2−2i22i2−2i22i202-22-2000000000000000000000000000000−2i2i02−200
χ58888−2+25−2−25−2+25−2−250-8000−2+25−2−252−252−252+252+2500000000000000000000000000000000000000000000000000
χ59888−2−25−2+25−2−25−2+250-8000−2−25−2+252+252+252−252−2500000000000000000000000000000000000000000000000000
χ608-8088-8-840-400000000000000000-44-440000000000000000000000000000000000000
χ618-80−2+25−2−252−252+2540-4000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3901−5−1+51+5−1−50000000000000000000000000000000000000
χ628-80−2+25−2−252−252+2540-400000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3901−5−1+51+5−1−50000000000000000000000000000000000000
χ638-80−2+25−2−252−252+25-4044i2−4i20000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390−1+51−5−1−51+50000000000000000000000000000000000000
χ648-80−2+25−2−252−252+25-404−4i24i2000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390−1+51−5−1−51+50000000000000000000000000000000000000
χ658-80−2−25−2+252+252−2540-400000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3701+5−1−51−5−1+50000000000000000000000000000000000000
χ668-80−2−25−2+252+252−2540-4000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3701+5−1−51−5−1+50000000000000000000000000000000000000
χ678-80−2−25−2+252+252−25-4044i2−4i20000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370−1−51+5−1+51−50000000000000000000000000000000000000
χ688-80−2−25−2+252+252−25-404−4i24i2000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370−1−51+5−1+51−50000000000000000000000000000000000000

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