Finite Group Databasebeta

← Group #12008799

Character table — Group #12008799

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444444444444448888888888888888888888101010101616161616161616161616161616161616161616161616162020202020204040404080808080
order124424551010202020202488888888101020202410102020404040404040404040404040404040408888101016161616202080808080808080808080808080808080224488448816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111−i−iii
χ811111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111ii−i−i
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-11
χ111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-11
χ121111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-111i−i−ii
χ141111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-111−iii−i
χ151111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i−ii11iiii−i−i−i−i−i−i−i−iiiii1111-1-111-1-1−iii−i
χ161111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−iii−i11−i−i−i−iiiiiiiii−i−i−i−i1111-1-111-1-1i−i−ii
χ1722222222222222-2-2000022-2-2222200-2-2-2-2000000002222-2-2-2-222220000000000000000000000000000-2-22-2000000
χ1822222222222222-2-2000022-2-2222200-2-2-2-2000000002222-2-2-2-2-2-2-2-2000000000000000000000000000022-22000000
χ1922222222222222-2-20000-2-222222200-2-2-2-200000000-2-2-2-2222222220000000000000000000000000000-2-2-22000000
χ2022222222222222-2-20000-2-222222200-2-2-2-200000000-2-2-2-22222-2-2-2-20000000000000000000000000000222-2000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+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+52−1−52−1−5200000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+522i2i−2i−2i1−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52−2i−2i2i2i1−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-22222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+522-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-22222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52-22-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+520000−1+52−1−522i−2i−2i2i−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−2i2i2i−2i−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+5200000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−522i2i−2i−2i1+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52−2i−2i2i2i1+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−522-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−52-22-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−520000−1−52−1+522i−2i−2i2i−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−2i2i2i−2i−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ3722-2-22-22222-2-2-2-22-200002i−2i2i−2i22-2-20022-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000022-2-200002i−2i0000
χ3822-2-22-22222-2-2-2-22-200002i−2i2i−2i22-2-20022-2-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000-2-2220000−2i2i0000
χ3922-2-22-22222-2-2-2-22-20000−2i2i−2i2i22-2-20022-2-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000022-2-20000−2i2i0000
χ4022-2-22-22222-2-2-2-22-20000−2i2i−2i2i22-2-20022-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000-2-22200002i−2i0000
χ4122-2-22-22222-2-2-2-2-222i2i−2i−2i2i−2i−2i2i22-2-22-2-2-2222i2i−2i−2i2i2i−2i−2i2i−2i2i−2i−2i2i−2i2i0000220000-2-2000000000000000000000000000000
χ4222-2-22-22222-2-2-2-2-222i2i−2i−2i−2i2i2i−2i22-2-2-22-2-2222i2i−2i−2i2i2i−2i−2i−2i2i−2i2i2i−2i2i−2i0000-2-2000022000000000000000000000000000000
χ4322-2-22-22222-2-2-2-2-22−2i−2i2i2i2i−2i−2i2i22-2-2-22-2-222−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i−2i2i−2i2i0000-2-2000022000000000000000000000000000000
χ4422-2-22-22222-2-2-2-2-22−2i−2i2i2i−2i2i2i−2i22-2-22-2-2-222−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i2i−2i2i−2i0000220000-2-2000000000000000000000000000000
χ4522-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i2i−2i−2i2i−2i−2i2i−1+52−1−521−521+522-21−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000−1+52−1−5200001−521+52−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000000000
χ4622-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i2i−2i−2i2i−2i−2i2i−1+52−1−521−521+522-21−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000−1+52−1−5200001−521+52ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000000000
χ4722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i2i−2i−2i−2i2i2i−2i−1+52−1−521−521+52-221−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400001−521+520000−1+52−1−52ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000000000
χ4822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-222i2i−2i−2i−2i2i2i−2i−1+52−1−521−521+52-221−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400001−521+520000−1+52−1−52−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000000000
χ4922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i−2i2i2i2i−2i−2i2i−1+52−1−521−521+52-221−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400001−521+520000−1+52−1−52−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000000000
χ5022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i−2i2i2i2i−2i−2i2i−1+52−1−521−521+52-221−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400001−521+520000−1+52−1−52ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000000000
χ5122-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i−2i2i2i−2i2i2i−2i−1+52−1−521−521+522-21−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000−1+52−1−5200001−521+52ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ3900000000000000
χ5222-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52-22−2i−2i2i2i−2i2i2i−2i−1+52−1−521−521+522-21−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000−1+52−1−5200001−521+52−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ3900000000000000
χ5322-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i2i−2i−2i2i−2i−2i2i−1−52−1+521+521−522-21+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000−1−52−1+5200001+521−52−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000000000
χ5422-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i2i−2i−2i2i−2i−2i2i−1−52−1+521+521−522-21+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000−1−52−1+5200001+521−52ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000000000
χ5522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i2i−2i−2i−2i2i2i−2i−1−52−1+521+521−52-221+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800001+521−520000−1−52−1+52−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000000000
χ5622-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-222i2i−2i−2i−2i2i2i−2i−1−52−1+521+521−52-221+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800001+521−520000−1−52−1+52ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000000000
χ5722-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i−2i2i2i2i−2i−2i2i−1−52−1+521+521−52-221+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800001+521−520000−1−52−1+52−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000000000
χ5822-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i−2i2i2i2i−2i−2i2i−1−52−1+521+521−52-221+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800001+521−520000−1−52−1+52ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000000000
χ5922-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i−2i2i2i−2i2i2i−2i−1−52−1+521+521−522-21+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000−1−52−1+5200001+521−52−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ37−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ2300000000000000
χ6022-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52-22−2i−2i2i2i−2i2i2i−2i−1−52−1+521+521−522-21+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000−1−52−1+5200001+521−52ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ37ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ2300000000000000
χ61444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4000044-4-4−1+5−1−5−1+5−1−5001−51+51−51+500000000−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000
χ62444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-40000-4-444−1+5−1−5−1+5−1−5001−51+51−51+5000000001−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000
χ63444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4000044-4-4−1−5−1+5−1−5−1+5001+51−51+51−500000000−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000
χ64444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-40000-4-444−1−5−1+5−1−5−1+5001+51−51+51−5000000001+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000
χ654444-4-4444444440000000000-4-4-4-40000000000000000000000000000000000000000000000000000004i−4i00000000
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χ6744-4-44-4−1+5−1−5−1+5−1−51−51−51+51+54-400004i−4i4i−4i−1+5−1−51−51+500−1+5−1−51−51+500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000
χ6844-4-44-4−1+5−1−5−1+5−1−51−51−51+51+54-40000−4i4i−4i4i−1+5−1−51−51+500−1+5−1−51−51+5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000
χ6944-4-44-4−1−5−1+5−1−5−1+51+51+51−51−54-400004i−4i4i−4i−1−5−1+51+51−500−1−5−1+51+51−500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ7044-4-44-4−1−5−1+5−1−5−1+51+51+51−51−54-40000−4i4i−4i4i−1−5−1+51+51−500−1−5−1+51+51−5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ7144-4-4-444444-4-4-4-40000000000-4-444000000000000000000000044-4-400000000000000000000000000000000000000
χ7244-4-4-444444-4-4-4-40000000000-4-4440000000000000000000000-4-44400000000000000000000000000000000000000
χ734-44i−4i0044-4-44i−4i4i−4i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002i2−2i222−220000000000000000000000002-22i−2i0000000000
χ744-44i−4i0044-4-44i−4i4i−4i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000−2i22i2−2222000000000000000000000000-22−2i2i0000000000
χ754-44i−4i0044-4-44i−4i4i−4i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000002i2−2i222−22000000000000000000000000-22−2i2i0000000000
χ764-44i−4i0044-4-44i−4i4i−4i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000−2i22i2−22220000000000000000000000002-22i−2i0000000000
χ774-4−4i4i0044-4-4−4i4i−4i4i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002i2−2i2−22220000000000000000000000002-2−2i2i0000000000
χ784-4−4i4i0044-4-4−4i4i−4i4i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000−2i22i222−22000000000000000000000000-222i−2i0000000000
χ794-4−4i4i0044-4-4−4i4i−4i4i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000002i2−2i2−2222000000000000000000000000-222i−2i0000000000
χ804-4−4i4i0044-4-4−4i4i−4i4i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000−2i22i222−220000000000000000000000002-2−2i2i0000000000
χ818888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−2500000000002−252+252−252+250000000000000000000000000000000000000000000000000000000000000000
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χ8388-8-8-88−2+25−2−25−2+25−2−252−252−252+252+2500000000002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-88−2−25−2+25−2−25−2+252+252+252−252−2500000000002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000
χ858-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000002ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ232ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ3900000000000000000000000000000000000000000000000000
χ868-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ3900000000000000−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ23−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ3900000000000000000000000000000000000000000000000000
χ878-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000002ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ392ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000000000000000
χ888-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ3900000000000000−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ39−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000000000000000
χ898-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ372ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ2900000000000000000000000000000000000000000000000000
χ908-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ3700000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ37−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ2900000000000000000000000000000000000000000000000000
χ918-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000002ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ292ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ3700000000000000000000000000000000000000000000000000
χ928-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ3700000000000000−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ29−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ3700000000000000000000000000000000000000000000000000

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