Finite Group Databasebeta

← Group #13103507

Character table — Group #13103507

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122222222224444444444445555555588888888888888881010101010101010101010101010101010101010202020202020202020202020202020202020202020202020202020202525252550505050505050505050
order12442455101020202020510101010102020202020202244888855101010101010202020202020202024888888888810101010202020201010202040404040404040404040404040404040404040404040404088884444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111-1-1-1-1111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111-1-1-1-111111111111111111111-1-111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii11
χ811111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i11
χ91111-1-1111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ101111-1-1111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1
χ111111-1-1111111111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ121111-1-1111111111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111
χ131111-1-1111111111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1ii−i−i−i−iii11
χ141111-1-1111111111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1−i−iiiii−i−i11
χ151111-1-1111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111−i−iiiii−i−i-1-1
χ161111-1-1111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111ii−i−i−i−iii-1-1
χ1711-1-11-11111-1-1-1-1111111-1-1-1-1-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−ii−i1111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−i
χ1811-1-11-11111-1-1-1-1111111-1-1-1-1-1-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i−ii−ii−ii−ii1111-1-1-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i-11-11-11-11i−i
χ1911-1-11-11111-1-1-1-1111111-1-1-1-1-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−iii−ii−ii−ii−i1111-1-1-1-111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii-11-11-11-11−ii
χ2011-1-11-11111-1-1-1-1111111-1-1-1-1-1-111-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii−ii1111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1−ii
χ2111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i11111111-1-1-1-1-1-1-1-1-11i−i1-11-1-11-11-1-1-1-11111-1-111ii−i−iii−i−i11-1-111-1-1-1-111-1-111−i−iii−ii−iii−ii−i−ii
χ2211-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i11111111-1-1-1-1-1-1-1-1-11i−i-11-111-11-1-1-1-1-11111-1-111ii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iiii−ii−i−ii−ii−ii
χ2311-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii11111111-1-1-1-1-1-1-1-1-11−ii1-11-1-11-11-1-1-1-11111-1-111−i−iii−i−iii11-1-111-1-1-1-111-1-111ii−i−ii−ii−i−ii−iii−i
χ2411-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii11111111-1-1-1-1-1-1-1-1-11−ii-11-111-11-1-1-1-1-11111-1-111−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−i−ii−iii−ii−ii−i
χ2511-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-1ii−i−i11-1-1-1-111-1-1-1-11111-11−iii−i−iii−i−ii1111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11−ii
χ2611-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-1ii−i−i11-1-1-1-111-1-1-1-11111-11−ii−iii−i−iii−i1111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i-111-1-111-1−ii
χ2711-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-1−i−iii11-1-1-1-111-1-1-1-11111-11i−ii−i−iii−i−ii1111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iii-111-1-111-1i−i
χ2811-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-1−i−iii11-1-1-1-111-1-1-1-11111-11i−i−iii−i−iii−i1111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11i−i
χ2911-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-111ii−i−i11-1-1-1-111-1-1-1-111111-1−ii1-1-11-111-1-1-1-1-1111111-1-1ii−i−i−i−iii11-1-1-1-111-1-11111-1-1−i−iii−iii−ii−i−iii−i
χ3011-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-111ii−i−i11-1-1-1-111-1-1-1-111111-1−ii-111-11-1-11-1-1-1-1111111-1-1ii−i−i−i−iii-1-11111-1-111-1-1-1-111−i−iiii−i−ii−iii−ii−i
χ3111-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-111−i−iii11-1-1-1-111-1-1-1-111111-1i−i1-1-11-111-1-1-1-1-1111111-1-1−i−iiiii−i−i11-1-1-1-111-1-11111-1-1ii−i−ii−i−ii−iii−i−ii
χ3211-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-111−i−iii11-1-1-1-111-1-1-1-111111-1i−i-111-11-1-11-1-1-1-1111111-1-1−i−iiiii−i−i-1-11111-1-111-1-1-1-111ii−i−i−iii−ii−i−ii−ii
χ33222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−52222222220000−1+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+52−1−52−1−52220022222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000000−1+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
χ34222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−52222222220000−1+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+52−1−52−1−522200-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000
χ35222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222-2-2-2-20000−1+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+52−1−52−1−52-2-2002i2i2i2i−2i−2i−2i−2i1−521−521+521+521−521−521+521+521−521+521−521+5200000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ1400000000000000
χ36222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−522222-2-2-2-20000−1+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+52−1−52−1−52-2-200−2i−2i−2i−2i2i2i2i2i1−521−521+521+521−521−521+521+521−521+521−521+5200000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ1400000000000000
χ37222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+52222222220000−1−52−1+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+52220022222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000000−1−52−1+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
χ38222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+52222222220000−1−52−1+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+522200-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000
χ39222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222-2-2-2-20000−1−52−1+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+52-2-2002i2i2i2i−2i−2i−2i−2i1+521+521−521−521+521+521−521−521+521−521+521−5200000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ3800000000000000
χ40222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+52222−1−52−1+522222-2-2-2-20000−1−52−1+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+52-2-200−2i−2i−2i−2i2i2i2i2i1+521+521−521−521+521+521−521−521+521−521+521−5200000000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ3800000000000000
χ412222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+52-2-22222220000−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2-20022-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000
χ422222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+52-2-22222220000−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2-200-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ432222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+52-2-222-2-2-2-20000−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5222002i2i−2i−2i−2i−2i2i2i1−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5200000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ1400000000000000
χ442222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+52-2-221−521+52-2-222-2-2-2-20000−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522200−2i−2i2i2i2i2i−2i−2i1−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5200000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ1400000000000000
χ452222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−52-2-22222220000−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2-20022-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ462222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−52-2-22222220000−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2-200-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ472222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−52-2-222-2-2-2-20000−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5222002i2i−2i−2i−2i−2i2i2i1+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5200000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ3800000000000000
χ482222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−52-2-221+521−52-2-222-2-2-2-20000−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522200−2i−2i2i2i2i2i−2i−2i1+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5200000000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ3800000000000000
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χ874-44i−4i00−1−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3840000-400004i−4i4-44i−4i0000−1−5−1+500001+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ884-44i−4i00−1−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3840000-400004i−4i-44−4i4i0000−1−5−1+500001+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000001+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ894-4−4i4i0044-4-4−4i4i−4i4i-1005−5100−i5i5i−i0000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37-1-15−55−511i−ii−i−i5i5−i5i5000000000000000000000000ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37000000000000000000000000000000
χ904-4−4i4i0044-4-4−4i4i−4i4i-1005−5100−i5i5i−i00004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37-1-15−55−511i−ii−i−i5i5−i5i5000000000000000000000000−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37000000000000000000000000000000
χ914-4−4i4i0044-4-4−4i4i−4i4i-100−55100i5−i5i−i0000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37-1-1−55−5511i−ii−ii5−i5i5−i5000000000000000000000000ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37−ζ7−ζ23+ζ31+ζ39ζ7+ζ23−ζ31−ζ39ζ13−ζ21−ζ29+ζ37−ζ13+ζ21+ζ29−ζ37000000000000000000000000000000
χ924-4−4i4i0044-4-4−4i4i−4i4i-100−55100i5−i5i−i00004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37-1-1−55−5511i−ii−ii5−i5i5−i5000000000000000000000000−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37ζ7+ζ23−ζ31−ζ39−ζ7−ζ23+ζ31+ζ39−ζ13+ζ21+ζ29−ζ37ζ13−ζ21−ζ29+ζ37000000000000000000000000000000
χ934-4−4i4i00−1+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1440000-40000−4i4i4-4−4i4i0000−1+5−1−500001−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000
χ944-4−4i4i00−1+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1440000-40000−4i4i-444i−4i0000−1+5−1−500001−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000001−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000
χ954-4−4i4i00−1−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3840000-40000−4i4i4-4−4i4i0000−1−5−1+500001+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ964-4−4i4i00−1−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3840000-40000−4i4i-444i−4i0000−1−5−1+500001+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000001+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ97888888−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−25-2−2+25−2−25-2-2-2−2+25−2−25-2-2-2-2000000001−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000000000000000000000000000000000
χ98888888−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25-2−2−25−2+25-2-2-2−2−25−2+25-2-2-2-2000000001+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000000000000000000000000000000000
χ998888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−25-22−252+2522-22−252+2522-2-2000000001−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000000000
χ1008888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25-22+252−2522-22+252−2522-2-2000000001+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000000000
χ10188-8-88-8−2+25−2−25−2+25−2−252−252−252+252+25-2−2+25−2−25-2-2-22−252+252222000000001−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000000000
χ10288-8-88-8−2−25−2+25−2−25−2+252+252+252−252−25-2−2−25−2+25-2-2-22+252−252222000000001+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-88−2+25−2−25−2+25−2−252−252−252+252+25-22−252+2522-2−2+25−2−25-2-222000000001−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-88−2−25−2+25−2−25−2+252+252+252−252−25-22+252−2522-2−2−25−2+25-2-222000000001+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000000000000000
χ1058-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-20025−252002i5−2i5−2i2i000000001−521+525−52−5+52−5−525+52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ3800000000000000000000000000000000000000000000000000000000000000
χ1068-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-200−2525200−2i52i5−2i2i000000001−521+52−5+525−525+52−5−52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000000000
χ1078-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-20025−252002i5−2i5−2i2i000000001+521−52−5−525+525−52−5+52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ3800000000000000000000000000000000000000000000000000000000000000
χ1088-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-200−2525200−2i52i5−2i2i000000001+521−525+52−5−52−5+525−52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ3800000000000000000000000000000000000000000000000000000000000000
χ1098-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-20025−25200−2i52i52i−2i000000001−521+525−52−5+52−5−525+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ3800000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-200−25252002i5−2i52i−2i000000001−521+52−5+525−525+52−5−52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ142ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ3800000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-20025−25200−2i52i52i−2i000000001+521−52−5−525+525−52−5+52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ3800000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-200−25252002i5−2i52i−2i000000001+521−525+52−5−52−5+525−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ3800000000000000000000000000000000000000000000000000000000000000

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