Finite Group Databasebeta

← Group #14419097

Character table — Group #14419097

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order122234466644444451010101212444444121215202020202020303030448888888812121212442020202044446060606060602288881212242424242424242420202020202022888888886624242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1-1ii−i−iii−i−i-1-1-1-1111111-1-1-1-1111111-1-1ii−i−i-1-1ii−i−iii−i−i111111-1-1ii−i−iii−i−i-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111-1-1-1-111111111111111-1-1−i−iii−i−iii-1-1-1-1111111-1-1-1-1111111-1-1−i−iii-1-1−i−iii−i−iii111111-1-1−i−iii−i−iii-1-1−i−iii-1-1−i−iii
χ511111111111111-1-1111111111111-1-11-1-1-1-11111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1111111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1ii−i−iii−i−i11-1-1-1-1-1-1ii−i−iii−i−i11−i−iii11−i−iii
χ811111111111111-1-1111111-1-1-1-111-1-11-1-1-1-111111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1−i−iii−i−iii11-1-1-1-1-1-1−i−iii−i−iii11ii−i−i11ii−i−i
χ91111111111-1-1-1-1111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ101111111111-1-1-1-1111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-1ii−i−iii−i−i-1-1-1-1-1-111−i−iii−i−iii-1-1ii−i−i11−i−iii
χ121111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−iii-1-1−i−iii−i−iii-1-1-1-1-1-111ii−i−iii−i−i-1-1−i−iii11ii−i−i
χ131111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-1
χ151111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1ii−i−iii−i−i-1-1-1-111-1-1-1-1111111-1-1-1-111−i−iii-1-1ii−i−iii−i−i-1-1111111−i−iii−i−iii11−i−iii-1-1ii−i−i
χ161111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1−i−iii−i−iii-1-1-1-111-1-1-1-1111111-1-1-1-111ii−i−i-1-1−i−iii−i−iii-1-1111111ii−i−iii−i−i11ii−i−i-1-1−i−iii
χ1711111-1-111111111-11111-1-11111-1-11-1111-1-1-1-1111-1-11111-1-1-1-111111-111111111-1-111-1-11-11-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-11-11-11-11-11-1
χ1811111-1-111111111-11111-1-11111-1-11-1111-1-1-1-1111-1-1-1-1-1-1111111111-111111111-1-111-1-11-1-11-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-111-1-11-11
χ1911111-1-111111111-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111111ii−i−i−i−iii-1-1-1-11-11111-1-1-1-1-1-111-1-1-11i−i−ii11−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i-11i−i−ii-11i−i−ii
χ2011111-1-111111111-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111111−i−iiiii−i−i-1-1-1-11-11111-1-1-1-1-1-111-1-1-11−iii−i11ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii-11−iii−i-11−iii−i
χ2111111-1-11111111-111111-1-11111-1-1-111-1-111-1-1111-1-11111-1-1-1-11111-1111111111-1-1-1-111-11-11-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-11-11-11-11-11
χ2211111-1-11111111-111111-1-11111-1-1-111-1-111-1-1111-1-1-1-1-1-111111111-1111111111-1-1-1-111-111-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-11-1-111-11-1
χ2311111-1-11111111-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111ii−i−i−i−iii-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1−iii−i11−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i1-1−iii−i1-1−iii−i
χ2411111-1-11111111-111111-1-1-1-1-1-1-1-1-111-1-111-1-111111−i−iiiii−i−i-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1i−i−ii11ii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii1-1i−i−ii1-1i−i−ii
χ2511111-1-1111-1-1-1-11-11111-1-11111111-1111-1-1-1-1111-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11-11-11-1-11-11-11
χ2611111-1-1111-1-1-1-11-11111-1-11111111-1111-1-1-1-1111-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-111-1-11-1-11-11-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-11-11-111-11-1
χ2711111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-111111ii−i−i−i−iii-1-1-1-1-11-1-1-1-11111-1-111-1-1-11i−i−ii11−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii-11i−i−ii1-1−iii−i
χ2811111-1-1111-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-111111−i−iiiii−i−i-1-1-1-1-11-1-1-1-11111-1-111-1-1-11−iii−i11ii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i-11−iii−i1-1i−i−ii
χ2911111-1-1111-1-1-1-1-111111-1-1111111-111-1-111-1-1111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-11-111-11-11-1
χ3011111-1-1111-1-1-1-1-111111-1-1111111-111-1-111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-111-11-11-1-11-11
χ3111111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-111-1-111-1-111111ii−i−i−i−iii-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1−iii−i11−i−iiiii−i−i1111-1-1-1-1ii−i−i−i−iii1-1−iii−i-11i−i−ii
χ3211111-1-1111-1-1-1-1-111111-1-1-1-1-1-111-111-1-111-1-111111−i−iiiii−i−i-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1i−i−ii11ii−i−i−i−iii1111-1-1-1-1−i−iiiii−i−i1-1i−i−ii-11−iii−i
χ332222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-12222222222-1-1-1-10000000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ342222-122-1-1-10000222222-1-1222200-1-1-1222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-1-1-1-1-122-2-2-2-2-1-1111111110000000000000000-1-11111000000
χ352222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-22i2i−2i−2i2i2i−2i−2i11110000000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−iii−i−iii000000000000000011−i−iii000000
χ362222-122-1-1-10000222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i11110000000000-1-1-1-1-1-1-2-2−2i−2i2i2i11ii−i−iii−i−i000000000000000011ii−i−i000000
χ372222-122-1-1-10000-2-22222-1-122220011-1-2-2-2-222-1-1-12222222222-1-1-1-10000000000-1-11111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000000000111111000000
χ382222-122-1-1-10000-2-22222-1-122220011-1-2-2-2-222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-1-11111-2-22222-1-111111111000000000000000011-1-1-1-1000000
χ392222-122-1-1-10000-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-22i2i−2i−2i2i2i−2i−2i11110000000000-1-1111122−2i−2i2i2i11−i−iii−i−iii0000000000000000-1-1ii−i−i000000
χ402222-122-1-1-10000-2-22222-1-1-2-2-2-20011-1-2-2-2-222-1-1-1-2-2−2i−2i2i2i−2i−2i2i2i11110000000000-1-11111222i2i−2i−2i11ii−i−iii−i−i0000000000000000-1-1−i−iii000000
χ412222-1-2-2-1-1-100002-2222211222200-11-122-2-2-2-2-1-1-1-2-22222-2-2-2-2-1-1-1-1000000000011-1-1112-22-22-2111111-1-1-1-10000000000000000-11-11-11000000
χ422222-1-2-2-1-1-100002-2222211222200-11-122-2-2-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-1000000000011-1-1112-2-22-2211-1-1-1-111110000000000000000-111-11-1000000
χ432222-1-2-2-1-1-100002-2222211-2-2-2-200-11-122-2-2-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i1111000000000011-1-111-222i−2i−2i2i-1-1ii−i−i−i−iii00000000000000001-1−iii−i000000
χ442222-1-2-2-1-1-100002-2222211-2-2-2-200-11-122-2-2-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i1111000000000011-1-111-22−2i2i2i−2i-1-1−i−iiiii−i−i00000000000000001-1i−i−ii000000
χ452222-1-2-2-1-1-10000-222222112222001-1-1-2-222-2-2-1-1-1-2-22222-2-2-2-2-1-1-1-100000000001111-1-1-22-22-22111111-1-1-1-100000000000000001-11-11-1000000
χ462222-1-2-2-1-1-10000-222222112222001-1-1-2-222-2-2-1-1-1-2-2-2-2-2-22222-1-1-1-100000000001111-1-1-222-22-211-1-1-1-1111100000000000000001-1-11-11000000
χ472222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-1-2-222-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i111100000000001111-1-12-2−2i2i2i−2i-1-1ii−i−i−i−iii0000000000000000-11i−i−ii000000
χ482222-1-2-2-1-1-10000-22222211-2-2-2-2001-1-1-2-222-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i111100000000001111-1-12-22i−2i−2i2i-1-1−i−iiiii−i−i0000000000000000-11−iii−i000000
χ4922-2-2200-2-222i2i−2i−2i002-22-20022-2-200002000000-2-22002-22-20000-2-222002i2i−2i−2i2i2i−2i−2i0000000000000000002-22-20000000000002i−2i2i−2i000000000000
χ5022-2-2200-2-222i2i−2i−2i002-22-20022-2-200002000000-2-2200-22-220000-2-222002i2i−2i−2i2i2i−2i−2i000000000000000000-22-22000000000000−2i2i−2i2i000000000000
χ5122-2-2200-2-222i2i−2i−2i002-22-200-2-22200002000000-2-22002i−2i−2i2i000022-2-2002i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i−2i2i000000000000-222-2000000000000
χ5222-2-2200-2-222i2i−2i−2i002-22-200-2-22200002000000-2-2200−2i2i2i−2i000022-2-2002i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i2i−2i0000000000002-2-22000000000000
χ5322-2-2200-2-22−2i−2i2i2i002-22-20022-2-200002000000-2-22002-22-20000-2-22200−2i−2i2i2i−2i−2i2i2i0000000000000000002-22-2000000000000−2i2i−2i2i000000000000
χ5422-2-2200-2-22−2i−2i2i2i002-22-20022-2-200002000000-2-2200-22-220000-2-22200−2i−2i2i2i−2i−2i2i2i000000000000000000-22-220000000000002i−2i2i−2i000000000000
χ5522-2-2200-2-22−2i−2i2i2i002-22-200-2-22200002000000-2-22002i−2i−2i2i000022-2-200−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i−2i2i0000000000002-2-22000000000000
χ5622-2-2200-2-22−2i−2i2i2i002-22-200-2-22200002000000-2-2200−2i2i2i−2i000022-2-200−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i2i−2i000000000000-222-2000000000000
χ572-22-222-22-2-22i−2i2i−2i002-2-222-22i−2i2i−2i2i−2i00200002-2-22-22i−2i000000002i−2i2i−2i002i−2i2i−2i2-22-22-200000000002i−2i000000002i−2i00002-200000000000000000000
χ582-22-222-22-2-22i−2i2i−2i002-2-222-2−2i2i−2i2i2i−2i00200002-2-22-2−2i2i00000000−2i2i−2i2i002i−2i2i−2i-22-222-20000000000−2i2i000000002i−2i0000-2200000000000000000000
χ592-22-222-22-2-2−2i2i−2i2i002-2-222-22i−2i2i−2i−2i2i00200002-2-22-22i−2i000000002i−2i2i−2i00−2i2i−2i2i-22-222-200000000002i−2i00000000−2i2i0000-2200000000000000000000
χ602-22-222-22-2-2−2i2i−2i2i002-2-222-2−2i2i−2i2i−2i2i00200002-2-22-2−2i2i00000000−2i2i−2i2i00−2i2i−2i2i2-22-22-20000000000−2i2i00000000−2i2i00002-200000000000000000000
χ612-22-22-222-2-22i−2i2i−2i002-2-22-222i−2i2i−2i−2i2i0020000-22-22-2−2i2i000000002i−2i2i−2i002i−2i2i−2i2-22-2-220000000000−2i2i00000000−2i2i0000-2200000000000000000000
χ622-22-22-222-2-22i−2i2i−2i002-2-22-22−2i2i−2i2i−2i2i0020000-22-22-22i−2i00000000−2i2i−2i2i002i−2i2i−2i-22-22-2200000000002i−2i00000000−2i2i00002-200000000000000000000
χ632-22-22-222-2-2−2i2i−2i2i002-2-22-222i−2i2i−2i2i−2i0020000-22-22-2−2i2i000000002i−2i2i−2i00−2i2i−2i2i-22-22-220000000000−2i2i000000002i−2i00002-200000000000000000000
χ642-22-22-222-2-2−2i2i−2i2i002-2-22-22−2i2i−2i2i2i−2i0020000-22-22-22i−2i00000000−2i2i−2i2i00−2i2i−2i2i2-22-2-2200000000002i−2i000000002i−2i0000-2200000000000000000000
χ652-2-22200-22-22-2-220022-2-2002i−2i−2i2i000020000002-2-2000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2i2i2i−2i002-2-22−2i2i2i−2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000
χ662-2-22200-22-22-2-220022-2-2002i−2i−2i2i000020000002-2-20000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2i2i2i−2i002-2-22−2i2i2i−2i000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000
χ672-2-22200-22-22-2-220022-2-200−2i2i2i−2i000020000002-2-2000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392i−2i−2i2i002-2-222i−2i−2i2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000
χ682-2-22200-22-22-2-220022-2-200−2i2i2i−2i000020000002-2-20000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392i−2i−2i2i002-2-222i−2i−2i2i000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000
χ692-2-22200-22-2-222-20022-2-2002i−2i−2i2i000020000002-2-2000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2i2i2i−2i00-222-22i−2i−2i2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000000000
χ702-2-22200-22-2-222-20022-2-2002i−2i−2i2i000020000002-2-20000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2i2i2i−2i00-222-22i−2i−2i2i000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000000000
χ712-2-22200-22-2-222-20022-2-200−2i2i2i−2i000020000002-2-2000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392i−2i−2i2i00-222-2−2i2i2i−2i00000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000000000
χ722-2-22200-22-2-222-20022-2-200−2i2i2i−2i000020000002-2-20000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392i−2i−2i2i00-222-2−2i2i2i−2i000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000000000
χ734444444444444444-1-1-1-14400004444-1-1-1-1-1-1-1-1-1-10000000000000044-1-1-1-10000-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000000
χ7444444444444444-4-4-1-1-1-144000044-4-4-11111-1-1-1-1-100000000000000-4-4-1-1-1-10000-1-111110000000000000000-1-111110000000000000000000000
χ754444444444-4-4-4-444-1-1-1-1440000-4-444-1-1-1-1-1-1-1-1-1-100000000000000-4-411110000-1-1-1-1-1-100000000000000001111110000000000000000000000
χ764444444444-4-4-4-4-4-4-1-1-1-1440000-4-4-4-4-11111-1-1-1-1-1000000000000004411110000-1-11111000000000000000011-1-1-1-10000000000000000000000
χ7744444-4-444444444-4-1-1-1-1-4-40000-4-44-4-1-1-11111-1-1-1000000000000004-4-1-1-1-1000011-1-111000000000000000011-1-1110000000000000000000000
χ7844444-4-44444444-44-1-1-1-1-4-40000-4-4-44-111-1-111-1-1-100000000000000-44-1-1-1-100001111-1-100000000000000001111-1-10000000000000000000000
χ7944444-4-4444-4-4-4-44-4-1-1-1-1-4-40000444-4-1-1-11111-1-1-100000000000000-441111000011-1-1110000000000000000-1-111-1-10000000000000000000000
χ8044444-4-4444-4-4-4-4-44-1-1-1-1-4-4000044-44-111-1-111-1-1-1000000000000004-4111100001111-1-10000000000000000-1-1-1-1110000000000000000000000
χ8144-4-4-20022-20000004-44-40044-4-40000-200000022-2004-44-4000022-2-20000000000000000000000000000-22-220000000000000000000000000000
χ8244-4-4-20022-20000004-44-40044-4-40000-200000022-200-44-44000022-2-200000000000000000000000000002-22-20000000000000000000000000000
χ8344-4-4-20022-20000004-44-400-4-4440000-200000022-2004i−4i−4i4i0000-2-2220000000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ8444-4-4-20022-20000004-44-400-4-4440000-200000022-200−4i4i4i−4i0000-2-22200000000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ854-44-444-44-4-44i−4i4i−4i00-111-14-400004i−4i00-1i5−i5i5−i5-111-110000000000000000−ii−ii0000-11i5−i5i5−i50000000000000000−ii5−55−50000000000000000000000
χ864-44-444-44-4-44i−4i4i−4i00-111-14-400004i−4i00-1−i5i5−i5i5-111-110000000000000000−ii−ii0000-11−i5i5−i5i50000000000000000−ii−55−550000000000000000000000
χ874-44-444-44-4-4−4i4i−4i4i00-111-14-40000−4i4i00-1i5−i5i5−i5-111-110000000000000000i−ii−i0000-11i5−i5i5−i50000000000000000i−i−55−550000000000000000000000
χ884-44-444-44-4-4−4i4i−4i4i00-111-14-40000−4i4i00-1−i5i5−i5i5-111-110000000000000000i−ii−i0000-11−i5i5−i5i50000000000000000i−i5−55−50000000000000000000000
χ894-44-44-444-4-44i−4i4i−4i00-111-1-440000−4i4i00-1i5−i5−i5i51-11-110000000000000000−ii−ii00001-1i5−i5−i5i50000000000000000i−i5−5−550000000000000000000000
χ904-44-44-444-4-44i−4i4i−4i00-111-1-440000−4i4i00-1−i5i5i5−i51-11-110000000000000000−ii−ii00001-1−i5i5i5−i50000000000000000i−i−555−50000000000000000000000
χ914-44-44-444-4-4−4i4i−4i4i00-111-1-4400004i−4i00-1i5−i5−i5i51-11-110000000000000000i−ii−i00001-1i5−i5−i5i50000000000000000−ii−555−50000000000000000000000
χ924-44-44-444-4-4−4i4i−4i4i00-111-1-4400004i−4i00-1−i5i5i5−i51-11-110000000000000000i−ii−i00001-1−i5i5i5−i50000000000000000−ii5−5−550000000000000000000000
χ934-44-4-24-4-2220000004-4-44-224i−4i4i−4i0000-200004-42-224i−4i00000000−2i2i−2i2i0000000000-220000000000−2i2i000000000000000000000000000000000000
χ944-44-4-24-4-2220000004-4-44-22−4i4i−4i4i0000-200004-42-22−4i4i000000002i−2i2i−2i0000000000-2200000000002i−2i000000000000000000000000000000000000
χ954-44-4-2-44-2220000004-4-442-24i−4i4i−4i0000-20000-442-22−4i4i00000000−2i2i−2i2i00000000002-200000000002i−2i000000000000000000000000000000000000
χ964-44-4-2-44-2220000004-4-442-2−4i4i−4i4i0000-20000-442-224i−4i000000002i−2i2i−2i00000000002-20000000000−2i2i000000000000000000000000000000000000
χ974-4-44-2002-2200000044-4-4004i−4i−4i4i0000-2000000-222000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ372i−2i−2i2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000000000000000000000
χ984-4-44-2002-2200000044-4-4004i−4i−4i4i0000-2000000-2220000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ372i−2i−2i2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000000000000000000000
χ994-4-44-2002-2200000044-4-400−4i4i4i−4i0000-2000000-222000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−2i2i2i−2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000000000000000
χ1004-4-44-2002-2200000044-4-400−4i4i4i−4i0000-2000000-2220000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39−2i2i2i−2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000000000000000000000
χ1018888-488-4-4-4000088-2-2-2-2-4-4000000-4-41-2-2-2-2-2-211100000000000000000000000011111100000000000000000000000000000000000000000000
χ1028888-488-4-4-40000-8-8-2-2-2-2-4-40000004412222-2-211100000000000000000000000011-1-1-1-100000000000000000000000000000000000000000000
χ1038888-4-8-8-4-4-400008-8-2-2-2-244000000-441-2-22222111000000000000000000000000-1-111-1-100000000000000000000000000000000000000000000
χ1048888-4-8-8-4-4-40000-88-2-2-2-2440000004-4122-2-222111000000000000000000000000-1-1-1-11100000000000000000000000000000000000000000000
χ10588-8-8800-8-888i8i−8i−8i00-22-220000000000-200000022-20000000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000
χ10688-8-8800-8-88−8i−8i8i8i00-22-220000000000-200000022-200000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-8-444000000-222-2-440000000012i5−2i52i5−2i5-22-11-10000000000000000000000001-1−i5i5−i5i500000000000000000000000000000000000000000000
χ1088-88-8-48-8-444000000-222-2-44000000001−2i52i5−2i52i5-22-11-10000000000000000000000001-1i5−i5i5−i500000000000000000000000000000000000000000000
χ1098-88-8-4-88-444000000-222-24-40000000012i5−2i5−2i52i52-2-11-1000000000000000000000000-11−i5i5i5−i500000000000000000000000000000000000000000000
χ1108-88-8-4-88-444000000-222-24-4000000001−2i52i52i5−2i52-2-11-1000000000000000000000000-11i5−i5−i5i500000000000000000000000000000000000000000000
χ1118-8-88800-88-88-8-8800-2-2220000000000-2000000-2220000000000000000-222-2000000000000000000000000000000000000000000000000000000
χ1128-8-88800-88-8-888-800-2-2220000000000-2000000-22200000000000000002-2-22000000000000000000000000000000000000000000000000000000
χ1131616-16-16-80088-8000000-44-4400000000002000000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-16-1616-8008-88000000-4-444000000000020000002-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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