Finite Group Databasebeta

← Group #12018360

Character table — Group #12018360

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1122222222222444444444488888888888888888888881616161616161616161616161616161616161616161616161640404040808080808080
order1224455101020202020222444101020208810101010101020202020202040404040404040408888840404040404040404040404040404040404040402244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-1
χ611111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ711111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1
χ811111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111
χ922222222222222-2-2-22-222220022-2-2-2-2-2-222-2-2000000000000000000000000000000000000020-2000
χ1022222222222222-2-2-22-222220022-2-2-2-2-2-222-2-20000000000000000000000000000000000000-202000
χ112222222222222-22-2-2-22222200-2-222-2-2-2-2-2-2220000000000000000000000000000000000000020-200
χ122222222222222-22-2-2-22222200-2-222-2-2-2-2-2-22200000000000000000000000000000000000000-20200
χ132222222222222-2-222-2-2222222-2-2-2-22222-2-2-2-222222222-20000-2-2-2-200000000000000000000000000
χ142222222222222-2-222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-220000222200000000000000000000000000
χ1522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−520000000000
χ1622222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000
χ1722222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52-222-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000
χ1822222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52-2-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−52221−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-200001−521−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−52221−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-200001−521−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140000000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521−521−521−521+521+521+521+5220000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140000000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2−1+52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521−521−521−521+521+521+521+5220000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000
χ2322222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+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+52−1+52−1+520000000000
χ2422222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+522-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000
χ2522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+521−521−521−521−52-222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000
χ2622222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+521−521−521−521−52-2-2-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+52221+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-200001+521+521−521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380000000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+52221+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-200001+521+521−521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380000000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521+521+521+521−521−521−521−5220000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380000000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2−1−52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521+521+521+521−521−521−521−5220000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380000000000
χ31222-2-22222-2-2-2-222-22-2-222-2-2002222-2-222-2-2-2-2000000000000000000000000000000000000000002i−2i
χ32222-2-22222-2-2-2-222-22-2-222-2-2002222-2-222-2-2-2-200000000000000000000000000000000000000000−2i2i
χ33222-2-22222-2-2-2-22-22-2-2222-2-20022-2-222-2-2-2-222000000000002-20000000000002-22-22-22-20000000000
χ34222-2-22222-2-2-2-22-22-2-2222-2-20022-2-222-2-2-2-22200000000000-22000000000000-22-22-22-220000000000
χ35222-2-22222-2-2-2-2-222-22-222-2-200-2-22222-2-222-2-20000000002-20000002-22-22-22-2000000000000000000
χ36222-2-22222-2-2-2-2-222-22-222-2-200-2-22222-2-222-2-2000000000-22000000-22-22-22-22000000000000000000
χ37222-2-22222-2-2-2-2-2-2-222222-2-200-2-2-2-2-2-22222220000000000000000000000000000000002-22-2000000
χ38222-2-22222-2-2-2-2-2-2-222222-2-200-2-2-2-2-2-2222222000000000000000000000000000000000-22-22000000
χ39222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+5200−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140002-2−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−1+521−52−1+521−52−1−521+52−1−521+520000000000
χ40222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+5200−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000-22−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ141−52−1+521−52−1+521+52−1−521+52−1−520000000000
χ41222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+5200−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140002-2ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−1+521−52−1+521−52−1−521+52−1−521+520000000000
χ42222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+5200−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000-22ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ141−52−1+521−52−1+521+52−1−521+52−1−520000000000
χ43222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-222-22-2−1+52−1−521−521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1402-200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ140000000000
χ44222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-222-22-2−1+52−1−521−521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140-2200ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ141−52−1+521−52−1+521+52−1−521+52−1−52−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ140000000000
χ45222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-222-22-2−1+52−1−521−521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1402-200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ140000000000
χ46222-2-2−1+52−1−52−1+52−1−521−521−521+521+52-222-22-2−1+52−1−521−521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140-2200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ141−52−1+521−52−1+521+52−1−521+52−1−52ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ140000000000
χ47222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−5200−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380002-2ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−1−521+52−1−521+52−1+521−52−1+521−520000000000
χ48222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−5200−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000-22ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ381+52−1−521+52−1−521−52−1+521−52−1+520000000000
χ49222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−5200−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380002-2−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−1−521+52−1−521+52−1+521−52−1+521−520000000000
χ50222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−5200−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000-22−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ381+52−1−521+52−1−521−52−1+521−52−1+520000000000
χ51222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-222-22-2−1−52−1+521+521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3802-200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−1−521+52−1−521+52−1+521−52−1+521−52−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ380000000000
χ52222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-222-22-2−1−52−1+521+521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380-2200−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ381+52−1−521+52−1−521−52−1+521−52−1+52ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ380000000000
χ53222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-222-22-2−1−52−1+521+521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3802-200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−1−521+52−1−521+52−1+521−52−1+521−52ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ380000000000
χ54222-2-2−1−52−1+52−1−52−1+521+521+521−521−52-222-22-2−1−52−1+521+521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380-2200ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ381+52−1−521+52−1−521−52−1+521−52−1+52−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ380000000000
χ5544444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-4-4-44-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+51−51+5−1+5−1−51−51+50000000000000000000000000000000000000000000
χ5644444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44-4-4-44−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+51−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000
χ5744444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-4-4-44-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−51+51−5−1−5−1+51+51−50000000000000000000000000000000000000000000
χ5844444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-4-4-44−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−51+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000
χ59444-4-4−1+5−1−5−1+5−1−51−51−51+51+544-44-4-4−1+5−1−51−51+500−1+5−1−5−1+5−1−51−51+5−1+5−1−51−51+51−51+50000000000000000000000000000000000000000000
χ60444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4-4-4444−1+5−1−51−51+5001−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000
χ61444-4-4−1−5−1+5−1−5−1+51+51+51−51−544-44-4-4−1−5−1+51+51−500−1−5−1+5−1−5−1+51+51−5−1−5−1+51+51−51+51−50000000000000000000000000000000000000000000
χ62444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4-4-4444−1−5−1+51+51−5001+51−51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000
χ6344-44-444444444000000-4-4-4-40000000000000000000000000000000000000000000000022-2-2000000
χ6444-44-444444444000000-4-4-4-400000000000000000000000000000000000000000000000-2-222000000
χ6544-4-444444-4-4-4-4000000-4-444000000000000000000000000000000000000000000000002-2-22000000
χ6644-4-444444-4-4-4-4000000-4-44400000000000000000000000000000000000000000000000-222-2000000
χ6788-88-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−250000002−252+252−252+25000000000000000000000000000000000000000000000000000000000
χ6888-88-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+250000002+252−252+252−25000000000000000000000000000000000000000000000000000000000
χ6988-8-88−2+25−2−25−2+25−2−252−252−252+252+250000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000
χ7088-8-88−2−25−2+25−2−25−2+252+252+252−252−250000002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000
χ718-800088-8-80000000000000022−2200000000000022−2222−2222−2222−2200000000000000000000000000000000000
χ728-800088-8-800000000000000−2222000000000000−2222−2222−2222−222200000000000000000000000000000000000
χ738-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14000000000022−22000000000000−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ372ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ3100000000000000000000000000000000000
χ748-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140000000000−22220000000000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ3100000000000000000000000000000000000
χ758-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14000000000022−22000000000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ3900000000000000000000000000000000000
χ768-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140000000000−22220000000000002ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ3900000000000000000000000000000000000
χ778-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38000000000022−220000000000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ1300000000000000000000000000000000000
χ788-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380000000000−2222000000000000−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ312ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ1300000000000000000000000000000000000
χ798-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38000000000022−220000000000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ3700000000000000000000000000000000000
χ808-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380000000000−2222000000000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ3700000000000000000000000000000000000

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