Finite Group Databasebeta

← Group #12019706

Character table — Group #12019706

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size112222222224444444888888888888888888888888888816161616161616161616161616161616161616161616168080808080808080
order1225510101010101024420202020222444881010202020202020202020204040404040404040248101010101010101010102020202020204040404044444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i
χ6111111111111111111-1-1-1-1111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii
χ7111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1ii−i−i−i−iii
χ8111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1−i−iiiii−i−i
χ911111111111-1-1111111-1-111-111-1-11111-1-1-1-1-1-111111111-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1i−ii−ii−ii−i
χ1011111111111-1-1111111-1-111-111-1-11111-1-1-1-1-1-111111111-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1−ii−ii−ii−ii
χ1111111111111-1-1111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-11111i−ii−i−ii−ii
χ1211111111111-1-1111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-11111−ii−iii−ii−i
χ1311111111111-1-111111-111-11-111-1-11111-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11
χ1411111111111-1-111111-111-11-111-1-11111-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1
χ1511111111111-1-111111-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-1-11-111-1
χ1611111111111-1-111111-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-111-11-1-11
χ1722222222222222222222-2-2-2-20022-2-2-2-222-2-2-2-2000000000002222-2-20000-2-20000000000000000
χ18222222222222222222-2-222-2-20022-2-2-2-222-2-2-2-200000000000-2-2-2-2220000220000000000000000
χ1922222222222-2-2222222-22-2-2200-2-2-2-2-2-2-2-222220000000000022-2-2220000-2-20000000000000000
χ2022222222222-2-222222-22-22-2200-2-2-2-2-2-2-2-2222200000000000-2-222-2-20000220000000000000000
χ21222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5222222222−1+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+52−1−52−1−5200000000
χ22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52222222-2-2−1+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+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+5200000000
χ23222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5222-2-2-2-200−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ24222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5222-2-2-2-200−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ25222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-222-2-200−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360001−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ26222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-222-2-200−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360001−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ27222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−5200000000
χ28222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ29222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−522-22-2-22001−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000−1+52−1−521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ30222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−522-22-2-22001−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000−1+52−1−521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ31222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−522-2-222-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ32222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−522-2-222-2-2-21−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521−521−521+521+521+521+522-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ33222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−52-222-22-2221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+5200000000
χ34222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−52-222-22-2-2-21−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521−521−521+521+521+521+52-2221−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ35222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−52-22-22-22001−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360001−521+52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ36222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22−1+52−1+52−1−52−1−52-22-22-22001−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360001−521+52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ37222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+5222222222−1−52−1+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+5200000000
χ38222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52222222-2-2−1−52−1+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+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−5200000000
χ39222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+5222-2-2-2-200−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ40222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+5222-2-2-2-200−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ41222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-222-2-200−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280001+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ42222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-222-2-200−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280001+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ43222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+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+5200000000
χ44222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-2-2-222-2-2−1−52−1+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+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ45222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+522-22-2-22001+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000−1−52−1+521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ46222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+522-22-2-22001+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000−1−52−1+521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ47222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+522-2-222-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2−1−52−1+521+521−521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ48222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+522-2-222-2-2-21+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521+521+521−521−521−521−522-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ49222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+52-222-22-2221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+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+521−521−5200000000
χ50222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+52-222-22-2-2-21+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521+521+521−521−521−521−52-2221+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ51222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+52-22-22-22001+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280001+521−52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ52222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22−1−52−1−52−1+52−1+52-22-22-22001+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280001+521−52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ53444444444444-4-4-4-4-4-400000000440000-4-40000000000000000000000000000000000000000000
χ5444444444444-44-4-4-4-4-400000000-4-40000440000000000000000000000000000000000000000000
χ55444−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−54-4-41−51−51+51+500000000−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000
χ56444−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−54-4-41−51−51+51+500000000−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000
χ57444−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5-44-41−51−51+51+5000000001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000
χ58444−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5-44-41−51−51+51+5000000001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000
χ59444−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+54-4-41+51+51−51−500000000−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000
χ60444−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+54-4-41+51+51−51−500000000−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000
χ61444−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5-44-41+51+51−51−5000000001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000
χ62444−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5-44-41+51+51−51−5000000001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000
χ6388-8888-8-88-8-8000000000000000000000000000000000000000000000000000000000000000000
χ6488-8−2+25−2−25−2+252−252−25−2−252+252+250004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ3600000000000000000000000000000000000000000000000000000000000
χ6588-8−2+25−2−25−2+252−252−25−2−252+252+25000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ3600000000000000000000000000000000000000000000000000000000000
χ6688-8−2−25−2+25−2−252+252+25−2+252−252−25000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000000000000
χ6788-8−2−25−2+25−2−252+252+25−2+252−252−250004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000000
χ688-8088-800-800000000000000022−2200000000000022−2222−2222−2222−220000000000000000000000000000000
χ698-8088-800-8000000000000000−2222000000000000−2222−2222−2222−22220000000000000000000000000000000
χ708-80−2+25−2−252−254ζ12−4ζ28−4ζ12+4ζ282+25−4ζ4+4ζ364ζ4−4ζ36000000000000022−220000000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ7+2ζ372ζ7−2ζ372ζ29−2ζ39−2ζ29+2ζ392ζ21−2ζ31−2ζ21+2ζ310000000000000000000000000000000
χ718-80−2+25−2−252−254ζ12−4ζ28−4ζ12+4ζ282+25−4ζ4+4ζ364ζ4−4ζ360000000000000−2222000000000000−2ζ13+2ζ232ζ13−2ζ232ζ7−2ζ37−2ζ7+2ζ37−2ζ29+2ζ392ζ29−2ζ39−2ζ21+2ζ312ζ21−2ζ310000000000000000000000000000000
χ728-80−2+25−2−252−25−4ζ12+4ζ284ζ12−4ζ282+254ζ4−4ζ36−4ζ4+4ζ36000000000000022−22000000000000−2ζ7+2ζ372ζ7−2ζ372ζ13−2ζ23−2ζ13+2ζ232ζ21−2ζ31−2ζ21+2ζ312ζ29−2ζ39−2ζ29+2ζ390000000000000000000000000000000
χ738-80−2+25−2−252−25−4ζ12+4ζ284ζ12−4ζ282+254ζ4−4ζ36−4ζ4+4ζ360000000000000−22220000000000002ζ7−2ζ37−2ζ7+2ζ37−2ζ13+2ζ232ζ13−2ζ23−2ζ21+2ζ312ζ21−2ζ31−2ζ29+2ζ392ζ29−2ζ390000000000000000000000000000000
χ748-80−2−25−2+252+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ28000000000000022−220000000000002ζ29−2ζ39−2ζ29+2ζ392ζ21−2ζ31−2ζ21+2ζ31−2ζ7+2ζ372ζ7−2ζ372ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000
χ758-80−2−25−2+252+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ280000000000000−2222000000000000−2ζ29+2ζ392ζ29−2ζ39−2ζ21+2ζ312ζ21−2ζ312ζ7−2ζ37−2ζ7+2ζ37−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000
χ768-80−2−25−2+252+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ28000000000000022−220000000000002ζ21−2ζ31−2ζ21+2ζ312ζ29−2ζ39−2ζ29+2ζ392ζ13−2ζ23−2ζ13+2ζ23−2ζ7+2ζ372ζ7−2ζ370000000000000000000000000000000
χ778-80−2−25−2+252+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ280000000000000−2222000000000000−2ζ21+2ζ312ζ21−2ζ31−2ζ29+2ζ392ζ29−2ζ39−2ζ13+2ζ232ζ13−2ζ232ζ7−2ζ37−2ζ7+2ζ370000000000000000000000000000000

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