Finite Group Databasebeta

← Group #12016909

Character table — Group #12016909

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size112222222222244444444448888888888888888888888888816161616161616161616161616161616161616161616162020202040404040404080808080
order1224455101020202020222444101020204444881010101010102020202020204040404040404040448202020202020202020202020202020204040404044442444442488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ711111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ911111111111111-1-11-1-11111ii−i−i1111-1-1-1-111-1-1-1-111111111i−i-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-11-1ii−i−i-11i−i
χ1011111111111111-1-11-1-11111ii−i−i1111-1-1-1-111-1-1-1-111111111i−i-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-111-11−i−iii1-1−ii
χ1111111111111111-1-11-1-11111ii−i−i-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1−ii1iiii−i−i−i−i−i−i−i−iiiii111111-1-11-1ii−i−i1-1−ii
χ1211111111111111-1-11-1-11111ii−i−i-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1−ii1iiii−i−i−i−i−i−i−i−iiiii1111-1-111-11−i−iii-11i−i
χ1311111111111111-1-11-1-11111−i−iii1111-1-1-1-111-1-1-1-111111111−ii-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111-1-11-1−i−iii-11−ii
χ1411111111111111-1-11-1-11111−i−iii1111-1-1-1-111-1-1-1-111111111−ii-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-111-11ii−i−i1-1i−i
χ1511111111111111-1-11-1-11111−i−iii-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1i−i1−i−i−i−iiiiiiiii−i−i−i−i111111-1-11-1−i−iii1-1i−i
χ1611111111111111-1-11-1-11111−i−iii-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1i−i1−i−i−i−iiiiiiiii−i−i−i−i1111-1-111-11ii−i−i-11−ii
χ172222222222222-22-2-2-222222000000-2-222-2-2-2-222-2-2000000000000000000000000000000022-2-2-2200000000
χ182222222222222-22-2-2-222222000000-2-222-2-2-2-222-2-20000000000000000000000000000000-2-2222-200000000
χ192222222222222-2-22-22-22222000000-2-2-2-222-2-2-2-22200000000000000000000000000000002222-2-200000000
χ202222222222222-2-22-22-22222000000-2-2-2-222-2-2-2-2220000000000000000000000000000000-2-2-2-22200000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−5200000000000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−522222-2-2−1+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+52-2-2-2−1+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+5200000000000000
χ2322222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52-2-2-2-222−1+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+52−1−52−1−52−1−52−1−52-2-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2422222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52-2-2-2-2-2-2−1+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+5222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2−1+52−1−52−1+52−1−522i2i−2i−2i22−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522i−2i-2−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521−521+521+5200000000000000
χ2622222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2−1+52−1−52−1+52−1−522i2i−2i−2i-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521−521−521−521+521+521+521+52−2i2i2−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1−52−1−5200000000000000
χ2722222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2−1+52−1−52−1+52−1−52−2i−2i2i2i22−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−2i2i-2ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521−521+521+5200000000000000
χ2822222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-2−1+52−1−52−1+52−1−52−2i−2i2i2i-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521−521−521−521+521+521+521+522i−2i2ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1+52−1−52−1−5200000000000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+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+52222−1−52−1−52−1+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+5200000000000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+522222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ3122222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+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+52-2-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ3222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3322222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-2−1−52−1+52−1−52−1+522i2i−2i−2i22−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522i−2i-2−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521+521−521−5200000000000000
χ3422222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-2−1−52−1+52−1−52−1+522i2i−2i−2i-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521+521+521+521−521−521−521−52−2i2i2−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1−52−1+52−1+5200000000000000
χ3522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-2−1−52−1+52−1−52−1+52−2i−2i2i2i22−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−2i2i-2ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521+521−521−5200000000000000
χ3622222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-2−1−52−1+52−1−52−1+52−2i−2i2i2i-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521+521+521+521−521−521−521−522i−2i2ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1−52−1+52−1+5200000000000000
χ37222-2-22222-2-2-2-222-2-22-222-2-22i−2i2i−2i002222-2-2-2-2-2-222000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ38222-2-22222-2-2-2-222-2-22-222-2-2−2i2i−2i2i002222-2-2-2-2-2-22200000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ39222-2-22222-2-2-2-22-22-2-2222-2-22-2-220022-2-222-2-222-2-2000000000002-22-2-22-2200000000000000000000000000
χ40222-2-22222-2-2-2-22-22-2-2222-2-2-222-20022-2-222-2-222-2-200000000000-22-222-22-200000000000000000000000000
χ41222-2-22222-2-2-2-2-2222-2-222-2-2000000-2-2222222-2-2-2-200000000000000000000000000000000000002-22-20000
χ42222-2-22222-2-2-2-2-2222-2-222-2-2000000-2-2222222-2-2-2-20000000000000000000000000000000000000-22-220000
χ43222-2-22222-2-2-2-2-2-2-222222-2-2000000-2-2-2-2-2-222222200000000000000000000000000000000000002i−2i−2i2i0000
χ44222-2-22222-2-2-2-2-2-2-222222-2-2000000-2-2-2-2-2-22222220000000000000000000000000000000000000−2i2i2i−2i0000
χ45222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-22-2−1+52−1−521−521+522i−2i2i−2i00−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ46222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-22-2−1+52−1−521−521+522i−2i2i−2i00−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ47222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-22-2−1+52−1−521−521+52−2i2i−2i2i00−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ48222-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-22-2−1+52−1−521−521+52−2i2i−2i2i00−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ49222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+522-2-2200−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−1+521−52−1−521+521−52−1+521+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ50222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+522-2-2200−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−1+521−52−1−521+521−52−1+521+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ51222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+52-222-200−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140001−52−1+521+52−1−52−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ52222-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-2-22−1+52−1−521−521+52-222-200−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140001−52−1+521+52−1−52−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ53222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-22-2−1−52−1+521+521−522i−2i2i−2i00−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ54222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-22-2−1−52−1+521+521−522i−2i2i−2i00−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ55222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-22-2−1−52−1+521+521−52−2i2i−2i2i00−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ56222-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-22-2−1−52−1+521+521−52−2i2i−2i2i00−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ57222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−522-2-2200−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000−1−521+52−1+521−521+52−1−521−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ58222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−522-2-2200−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000−1−521+52−1+521−521+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ59222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−52-222-200−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ380001+52−1−521−52−1+52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ60222-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-2-22−1−52−1+521+521−52-222-200−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ380001+52−1−521−52−1+52−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ6144444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44-4-4-44−1+5−1−5−1+5−1−50000001−51+5−1+5−1−51−51+51−51+5−1+5−1−51−51+5000000000000000000000000000000000000000000000
χ6244444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-44-44-4−1+5−1−5−1+5−1−50000001−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5000000000000000000000000000000000000000000000
χ6344444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-4-4-44−1−5−1+5−1−5−1+50000001+51−5−1−5−1+51+51−51+51−5−1−5−1+51+51−5000000000000000000000000000000000000000000000
χ6444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-44-44-4−1−5−1+5−1−5−1+50000001+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5000000000000000000000000000000000000000000000
χ65444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4444-4-4−1+5−1−51−51+50000001−51+5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+5000000000000000000000000000000000000000000000
χ66444-4-4−1+5−1−5−1+5−1−51−51−51+51+5-4-4-4444−1+5−1−51−51+50000001−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000
χ67444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4444-4-4−1−5−1+51+51−50000001+51−5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−5000000000000000000000000000000000000000000000
χ68444-4-4−1−5−1+5−1−5−1+51+51+51−51−5-4-4-4444−1−5−1+51+51−50000001+51−51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000
χ6944-44-444444444000000-4-4-4-40000000000000000000000000000000000000000000000000004-40000000000
χ7044-44-444444444000000-4-4-4-4000000000000000000000000000000000000000000000000000-440000000000
χ7144-4-444444-4-4-4-4000000-4-44400000000000000000000000000000000000000000000000004-4000000000000
χ7244-4-444444-4-4-4-4000000-4-4440000000000000000000000000000000000000000000000000-44000000000000
χ7388-88-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−250000002−252+252−252+25000000000000000000000000000000000000000000000000000000000000000
χ7488-88-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+250000002+252−252+252−25000000000000000000000000000000000000000000000000000000000000000
χ7588-8-88−2+25−2−25−2+25−2−252−252−252+252+250000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000
χ7688-8-88−2−25−2+25−2−25−2+252+252+252−252−250000002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000
χ778-800088-8-80000000000000000002i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000
χ788-800088-8-8000000000000000000−2i22i2000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000
χ798-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14000000000000002i2−2i20000000000002ζ7+2ζ13−2ζ7−2ζ132ζ23+2ζ37−2ζ23−2ζ372ζ21+2ζ39−2ζ21−2ζ392ζ29+2ζ31−2ζ29−2ζ310000000000000000000000000000000000000
χ808-8000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1400000000000000−2i22i2000000000000−2ζ7−2ζ132ζ7+2ζ13−2ζ23−2ζ372ζ23+2ζ37−2ζ21−2ζ392ζ21+2ζ39−2ζ29−2ζ312ζ29+2ζ310000000000000000000000000000000000000
χ818-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14000000000000002i2−2i20000000000002ζ23+2ζ37−2ζ23−2ζ372ζ7+2ζ13−2ζ7−2ζ132ζ29+2ζ31−2ζ29−2ζ312ζ21+2ζ39−2ζ21−2ζ390000000000000000000000000000000000000
χ828-8000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000000000−2i22i2000000000000−2ζ23−2ζ372ζ23+2ζ37−2ζ7−2ζ132ζ7+2ζ13−2ζ29−2ζ312ζ29+2ζ31−2ζ21−2ζ392ζ21+2ζ390000000000000000000000000000000000000
χ838-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38000000000000002i2−2i20000000000002ζ21+2ζ39−2ζ21−2ζ392ζ29+2ζ31−2ζ29−2ζ312ζ23+2ζ37−2ζ23−2ζ372ζ7+2ζ13−2ζ7−2ζ130000000000000000000000000000000000000
χ848-8000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000000000−2i22i2000000000000−2ζ21−2ζ392ζ21+2ζ39−2ζ29−2ζ312ζ29+2ζ31−2ζ23−2ζ372ζ23+2ζ37−2ζ7−2ζ132ζ7+2ζ130000000000000000000000000000000000000
χ858-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38000000000000002i2−2i20000000000002ζ29+2ζ31−2ζ29−2ζ312ζ21+2ζ39−2ζ21−2ζ392ζ7+2ζ13−2ζ7−2ζ132ζ23+2ζ37−2ζ23−2ζ370000000000000000000000000000000000000
χ868-8000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000000000−2i22i2000000000000−2ζ29−2ζ312ζ29+2ζ31−2ζ21−2ζ392ζ21+2ζ39−2ζ7−2ζ132ζ7+2ζ13−2ζ23−2ζ372ζ23+2ζ370000000000000000000000000000000000000

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