Finite Group Databasebeta

← Group #12018776

Character table — Group #12018776

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122222224444444444444444444488888888888888888888888888881616161616161616161616161616161616161616404080808080808080
order1224455101022244410101010101020202020202020208888101010102020202040404040404040404040404040404040248810101010202020204040404040404040882488888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ511111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-1-111
χ811111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-111-1-1
χ92222222222-2-22-2-2222222222222220000-2-2-2-2-2-2-2-200000000000000002-2002222-2-2-2-200000000000000000
χ102222222222-2-22-2-2222222222222220000-2-2-2-2-2-2-2-20000000000000000-2200-2-2-2-2222200000000000000000
χ11222222222-22-2-22-2-2-2-2-22222-2-2-2-222000022-2-222-2-2000000000000000000000000000000000000002-200000
χ12222222222-22-2-22-2-2-2-2-22222-2-2-2-222000022-2-222-2-200000000000000000000000000000000000000-2200000
χ13222222222-2-22-2-22-2-2-2-22222-2-2-2-2220000-2-222-2-2220000000000000000000000000000000000002200-20000
χ14222222222-2-22-2-22-2-2-2-22222-2-2-2-2220000-2-222-2-222000000000000000000000000000000000000-2-20020000
χ1522222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000
χ1622222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52000000000
χ1722222−1+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+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000000
χ1822222−1+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+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000
χ1922222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200001−521+521−521+521−521+521−521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000
χ2022222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200001−521+521−521+521−521+521−521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000
χ2122222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200001−521+521−521+521−521+521−521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000
χ2222222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200001−521+521−521+521−521+521−521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000
χ2322222−1−52−1+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+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+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+52000000000
χ2422222−1−52−1+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+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+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52000000000
χ2522222−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000
χ2622222−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000
χ2722222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000
χ2822222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000
χ2922222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000
χ3022222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000
χ31222-2-2222222-2-2-22222222-2-2-2-2-2-2-2-22i2i−2i−2i22-2-2-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000
χ32222-2-2222222-2-2-22222222-2-2-2-2-2-2-2-2−2i−2i2i2i22-2-2-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000
χ33222-2-222222-22-22-2222222-2-2-2-2-2-2-2-20000-2-22222-2-20000000000000000002i−2i000000002i−2i2i−2i2i−2i2i−2i000000000
χ34222-2-222222-22-22-2222222-2-2-2-2-2-2-2-20000-2-22222-2-2000000000000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000
χ35222-2-22222-2222-2-2-2-2-2-222-2-22222-2-200002222-2-2-2-200000000000000000000000000000000000000000002i−2i
χ36222-2-22222-2222-2-2-2-2-2-222-2-22222-2-200002222-2-2-2-20000000000000000000000000000000000000000000−2i2i
χ37222-2-22222-2-2-2222-2-2-2-222-2-22222-2-20000-2-2-2-22222000000000000000000000000000000000000000002-200
χ38222-2-22222-2-2-2222-2-2-2-222-2-22222-2-20000-2-2-2-2222200000000000000000000000000000000000000000-2200
χ39222-2-2−1+52−1−52−1+52−1−5222-2-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+522i2i−2i−2i−1+52−1−521−521+521−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14000000000
χ40222-2-2−1+52−1−52−1+52−1−5222-2-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+522i2i−2i−2i−1+52−1−521−521+521−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14000000000
χ41222-2-2−1+52−1−52−1+52−1−5222-2-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+52−2i−2i2i2i−1+52−1−521−521+521−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14000000000
χ42222-2-2−1+52−1−52−1+52−1−5222-2-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+52−2i−2i2i2i−1+52−1−521−521+521−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14000000000
χ43222-2-2−1+52−1−52−1+52−1−522-22-22-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14002i−2iζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14000000000
χ44222-2-2−1+52−1−52−1+52−1−522-22-22-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−2i2i−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14000000000
χ45222-2-2−1+52−1−52−1+52−1−522-22-22-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14002i−2i−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14000000000
χ46222-2-2−1+52−1−52−1+52−1−522-22-22-2−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−2i2iζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14000000000
χ47222-2-2−1−52−1+52−1−52−1+5222-2-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−522i2i−2i−2i−1−52−1+521+521−521+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38000000000
χ48222-2-2−1−52−1+52−1−52−1+5222-2-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−522i2i−2i−2i−1−52−1+521+521−521+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38000000000
χ49222-2-2−1−52−1+52−1−52−1+5222-2-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−52−2i−2i2i2i−1−52−1+521+521−521+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38000000000
χ50222-2-2−1−52−1+52−1−52−1+5222-2-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−52−2i−2i2i2i−1−52−1+521+521−521+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38000000000
χ51222-2-2−1−52−1+52−1−52−1+522-22-22-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38002i−2iζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38000000000
χ52222-2-2−1−52−1+52−1−52−1+522-22-22-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−2i2i−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38000000000
χ53222-2-2−1−52−1+52−1−52−1+522-22-22-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38002i−2i−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38000000000
χ54222-2-2−1−52−1+52−1−52−1+522-22-22-2−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−2i2iζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38000000000
χ5544444−1+5−1−5−1+5−1−5-44-4-44-41−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1−51−51+5−1+5−1−51−51+5000000000000000000000000000000000000000000000
χ5644444−1+5−1−5−1+5−1−5-4-44-4-441−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−500001−51+5−1+5−1−51−51+5−1+5−1−5000000000000000000000000000000000000000000000
χ5744444−1−5−1+5−1−5−1+5-44-4-44-41+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1+51+51−5−1−5−1+51+51−5000000000000000000000000000000000000000000000
χ5844444−1−5−1+5−1−5−1+5-4-44-4-441+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+500001+51−5−1−5−1+51+51−5−1−5−1+5000000000000000000000000000000000000000000000
χ59444-4-4−1+5−1−5−1+5−1−5-4444-4-41−51−51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+50000−1+5−1−5−1+5−1−51−51+51−51+5000000000000000000000000000000000000000000000
χ60444-4-4−1+5−1−5−1+5−1−5-4-4-44441−51−51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+500001−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000
χ61444-4-4−1−5−1+5−1−5−1+5-4444-4-41+51+51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51−50000−1−5−1+5−1−5−1+51+51−51+51−5000000000000000000000000000000000000000000000
χ62444-4-4−1−5−1+5−1−5−1+5-4-4-44441+51+51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51−500001+51−51+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000
χ6344-44-444440000000000-4-4440000-4-42i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000
χ6444-44-444440000000000-4-4440000-4-4−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000
χ6544-44-4−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+52i−2i2i−2i00000000−2ζ222ζ22−2ζ222ζ22−2ζ382ζ38−2ζ382ζ38−2ζ62ζ6−2ζ62ζ6−2ζ142ζ14−2ζ142ζ1400000000000000000000000000000
χ6644-44-4−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+5−2i2i−2i2i000000002ζ22−2ζ222ζ22−2ζ222ζ38−2ζ382ζ38−2ζ382ζ6−2ζ62ζ6−2ζ62ζ14−2ζ142ζ14−2ζ1400000000000000000000000000000
χ6744-44-4−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+52i−2i2i−2i00000000−2ζ382ζ38−2ζ382ζ38−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14−2ζ62ζ6−2ζ62ζ600000000000000000000000000000
χ6844-44-4−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−2i2i−2i2i000000002ζ38−2ζ382ζ38−2ζ382ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ142ζ6−2ζ62ζ6−2ζ600000000000000000000000000000
χ6944-44-4−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−52i−2i2i−2i00000000−2ζ62ζ6−2ζ62ζ6−2ζ142ζ14−2ζ142ζ14−2ζ382ζ38−2ζ382ζ38−2ζ222ζ22−2ζ222ζ2200000000000000000000000000000
χ7044-44-4−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−2i2i−2i2i000000002ζ6−2ζ62ζ6−2ζ62ζ14−2ζ142ζ14−2ζ142ζ38−2ζ382ζ38−2ζ382ζ22−2ζ222ζ22−2ζ2200000000000000000000000000000
χ7144-44-4−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−52i−2i2i−2i00000000−2ζ142ζ14−2ζ142ζ14−2ζ62ζ6−2ζ62ζ6−2ζ222ζ22−2ζ222ζ22−2ζ382ζ38−2ζ382ζ3800000000000000000000000000000
χ7244-44-4−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−5−2i2i−2i2i000000002ζ14−2ζ142ζ14−2ζ142ζ6−2ζ62ζ6−2ζ62ζ22−2ζ222ζ22−2ζ222ζ38−2ζ382ζ38−2ζ3800000000000000000000000000000
χ7344-4-4444440000000000-4-4-4-40000442-2-22000000002-2-222-2-222-2-222-2-2200000000000000000000000000000
χ7444-4-4444440000000000-4-4-4-4000044-222-200000000-222-2-222-2-222-2-222-200000000000000000000000000000
χ7544-4-44−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−52-2-2200000000−2ζ122ζ122ζ12−2ζ12−2ζ282ζ282ζ28−2ζ28−2ζ362ζ362ζ36−2ζ36−2ζ42ζ42ζ4−2ζ400000000000000000000000000000
χ7644-4-44−1+5−1−5−1+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−5-222-2000000002ζ12−2ζ12−2ζ122ζ122ζ28−2ζ28−2ζ282ζ282ζ36−2ζ36−2ζ362ζ362ζ4−2ζ4−2ζ42ζ400000000000000000000000000000
χ7744-4-44−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−52-2-2200000000−2ζ282ζ282ζ28−2ζ28−2ζ122ζ122ζ12−2ζ12−2ζ42ζ42ζ4−2ζ4−2ζ362ζ362ζ36−2ζ3600000000000000000000000000000
χ7844-4-44−1+5−1−5−1+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5-222-2000000002ζ28−2ζ28−2ζ282ζ282ζ12−2ζ12−2ζ122ζ122ζ4−2ζ4−2ζ42ζ42ζ36−2ζ36−2ζ362ζ3600000000000000000000000000000
χ7944-4-44−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+52-2-2200000000−2ζ362ζ362ζ36−2ζ36−2ζ42ζ42ζ4−2ζ4−2ζ282ζ282ζ28−2ζ28−2ζ122ζ122ζ12−2ζ1200000000000000000000000000000
χ8044-4-44−1−5−1+5−1−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5-222-2000000002ζ36−2ζ36−2ζ362ζ362ζ4−2ζ4−2ζ42ζ42ζ28−2ζ28−2ζ282ζ282ζ12−2ζ12−2ζ122ζ1200000000000000000000000000000
χ8144-4-44−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+52-2-2200000000−2ζ42ζ42ζ4−2ζ4−2ζ362ζ362ζ36−2ζ36−2ζ122ζ122ζ12−2ζ12−2ζ282ζ282ζ28−2ζ2800000000000000000000000000000
χ8244-4-44−1−5−1+5−1−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5-222-2000000002ζ4−2ζ4−2ζ42ζ42ζ36−2ζ36−2ζ362ζ362ζ12−2ζ12−2ζ122ζ122ζ28−2ζ28−2ζ282ζ2800000000000000000000000000000
χ838-800088-8-80000000000000000000000000000000000000000000000000000000000000000000022−220000000
χ848-800088-8-800000000000000000000000000000000000000000000000000000000000000000000−22220000000
χ8516-16000−4+45−4−454−454+4500000000000000000000000000000000000000000000000000000000000000000000000000000
χ8616-16000−4−45−4+454+454−4500000000000000000000000000000000000000000000000000000000000000000000000000000

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