Finite Group Databasebeta

← Group #14295969

Character table — Group #14295969

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222223333444444445555668888888888881010101010101010101010101010121212121212151515151616161616162020202020202020202020202020202024242424242430303030303030303030404040404040606060606060
order1244234612128888568810122020224488101520242430404040406060244444444466121224404040408888306012012012012044446881212121212121212121010202040408888888888121212122424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1iiii−i−i−i−i-1-1-1-1-1111111-1-1-1-1111111ii−i−i-1-1-1-1iiii−i−i−i−i111111-1-1iiii−i−i−i−iii−i−i-1-1-1-1ii−i−i
χ41111111111111111111111-1-1-1-111111111111111-1−i−i−i−iiiii-1-1-1-1-1111111-1-1-1-1111111−i−iii-1-1-1-1−i−i−i−iiiii111111-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−iii
χ51111111111111111-1-11111111111111-1-11-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-11111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111111-1-11111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-11111-1-1-1-111111-1-11-1-1-1-111-1iiii−i−i−i−i-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1−i−iii-111-1iiii−i−i−i−i-1-1-1-111-1-1iiii−i−i−i−i−i−iii1111−i−iii
χ81111111111111111-1-11111-1-1-1-111111-1-11-1-1-1-111-1−i−i−i−iiiii-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1ii−i−i-111-1−i−i−i−iiiii-1-1-1-111-1-1−i−i−i−iiiiiii−i−i1111ii−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
χ101111111111-1-1-1-1111111111111-1-11111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-1-111−i−iii
χ121111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111iiii−i−i−i−i−i−iii-1-111ii−i−i
χ131111111111-1-1-1-111-1-111111111-1-1111-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ141111111111-1-1-1-111-1-111111111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1
χ151111111111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-111-1iiii−i−i−i−i-1-1-1-1-111-1-1-1-1111111-1-1-1-1−i−iii-111-1iiii−i−i−i−i1111-1-111−i−i−i−iiiii−i−iii11-1-1ii−i−i
χ161111111111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-111-1−i−i−i−iiiii-1-1-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i-111-1−i−i−i−iiiii1111-1-111iiii−i−i−i−iii−i−i11-1-1−i−iii
χ1711-1-1-1111-1-1ii−i−i1-1i−i11-1-111-1-1i−i-111i−i1ii−i−i-1-1-1ii−i−iii−i−i111-1-11-1ii−i−iii−i−i-11ii−i−i1-11-1-1i−i1ii−i−iii−i−i11-1-1i−ii−i11-1-111-1-11-11-1i−i1-1i−ii−i
χ1811-1-1-1111-1-1ii−i−i1-1i−i11-1-111-1-1i−i-111i−i1ii−i−i-1-1-1−i−iii−i−iii111-1-11-1ii−i−iii−i−i-11ii−i−i-11-11-1i−i1−i−iii−i−iii11-1-1i−ii−i-1-111-1-111-11-11i−i1-1−ii−ii
χ1911-1-1-1111-1-1ii−i−i1-1i−i11-1-1-1-111i−i-111i−i1ii−i−i-1-1111-1-1-1-111-1-1-1111-1ii−i−i−i−iii-11ii−i−i−iii−i1−ii-111-1-1-1-11111-1-1i−i−ii−i−iiiii−i−i−iii−i−ii-111-1-11
χ2011-1-1-1111-1-1ii−i−i1-1i−i11-1-1-1-111i−i-111i−i1ii−i−i-1-11-1-11111-1-1-1-1-1111-1ii−i−i−i−iii-11ii−i−ii−i−ii1−ii-1-1-11111-1-111-1-1i−i−iiii−i−i−i−iiii−i−ii−ii-11-111-1
χ2111-1-1-1111-1-1ii−i−i1-1−ii11-1-111-1-1i−i-111−ii1−i−iii-1-1-1ii−i−iii−i−i111-1-1-11ii−i−iii−i−i-11−i−iii-11-11-1−ii1ii−i−iii−i−i-1-111i−ii−i11-1-111-1-1-11-11−ii-11−ii−ii
χ2211-1-1-1111-1-1ii−i−i1-1−ii11-1-111-1-1i−i-111−ii1−i−iii-1-1-1−i−iii−i−iii111-1-1-11ii−i−iii−i−i-11−i−iii1-11-1-1−ii1−i−iii−i−iii-1-111i−ii−i-1-111-1-1111-11-1−ii-11i−ii−i
χ2311-1-1-1111-1-1ii−i−i1-1−ii11-1-1-1-111i−i-111−ii1−i−iii-1-1111-1-1-1-111-1-1-111-11ii−i−i−i−iii-11−i−iiii−i−ii1i−i-111-1-1-1-111-1-111i−i−ii−i−iiiii−i−ii−i−iii−i1-1-111-1
χ2411-1-1-1111-1-1ii−i−i1-1−ii11-1-1-1-111i−i-111−ii1−i−iii-1-11-1-11111-1-1-1-1-111-11ii−i−i−i−iii-11−i−iii−iii−i1i−i-1-1-11111-1-1-1-111i−i−iiii−i−i−i−iii−iii−ii−i1-11-1-11
χ2511-1-1-1111-1-1−i−iii1-1i−i11-1-111-1-1−ii-111i−i1ii−i−i-1-1-1ii−i−iii−i−i111-1-1-11−i−iii−i−iii-11ii−i−i1-11-1-1i−i1ii−i−iii−i−i-1-111−ii−ii-1-111-1-1111-11-1i−i-11−ii−ii
χ2611-1-1-1111-1-1−i−iii1-1i−i11-1-111-1-1−ii-111i−i1ii−i−i-1-1-1−i−iii−i−iii111-1-1-11−i−iii−i−iii-11ii−i−i-11-11-1i−i1−i−iii−i−iii-1-111−ii−ii11-1-111-1-1-11-11i−i-11i−ii−i
χ2711-1-1-1111-1-1−i−iii1-1i−i11-1-1-1-111−ii-111i−i1ii−i−i-1-1111-1-1-1-111-1-1-111-11−i−iiiii−i−i-11ii−i−i−iii−i1−ii-111-1-1-1-111-1-111−iii−iii−i−i−i−iii−iii−i−ii1-1-111-1
χ2811-1-1-1111-1-1−i−iii1-1i−i11-1-1-1-111−ii-111i−i1ii−i−i-1-11-1-11111-1-1-1-1-111-11−i−iiiii−i−i-11ii−i−ii−i−ii1−ii-1-1-11111-1-1-1-111−iii−i−i−iiiii−i−ii−i−ii−ii1-11-1-11
χ2911-1-1-1111-1-1−i−iii1-1−ii11-1-111-1-1−ii-111−ii1−i−iii-1-1-1ii−i−iii−i−i111-1-11-1−i−iii−i−iii-11−i−iii-11-11-1−ii1ii−i−iii−i−i11-1-1−ii−ii-1-111-1-111-11-11−ii1-1i−ii−i
χ3011-1-1-1111-1-1−i−iii1-1−ii11-1-111-1-1−ii-111−ii1−i−iii-1-1-1−i−iii−i−iii111-1-11-1−i−iii−i−iii-11−i−iii1-11-1-1−ii1−i−iii−i−iii11-1-1−ii−ii11-1-111-1-11-11-1−ii1-1−ii−ii
χ3111-1-1-1111-1-1−i−iii1-1−ii11-1-1-1-111−ii-111−ii1−i−iii-1-1111-1-1-1-111-1-1-1111-1−i−iiiii−i−i-11−i−iiii−i−ii1i−i-111-1-1-1-11111-1-1−iii−iii−i−i−i−iiii−i−iii−i-111-1-11
χ3211-1-1-1111-1-1−i−iii1-1−ii11-1-1-1-111−ii-111−ii1−i−iii-1-11-1-11111-1-1-1-1-1111-1−i−iiiii−i−i-11−i−iii−iii−i1i−i-1-1-11111-1-111-1-1−iii−i−i−iiiii−i−i−iii−ii−i-11-111-1
χ3322222-12-1-1-100002-1222-1222222002-12-1-1-12222-1-12222222222-1-1-1-10000000000-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1000000
χ3422222-12-1-1-100002-1222-1222222002-12-1-1-12222-1-12-2-2-2-2-2-2-2-22-1-1-1-10000000000-1-1-1-1-1-1-2-2-2-2-122-11111111100000000000000001111-1-1000000
χ3522222-12-1-1-100002-1222-122-2-2-2-2002-12-1-1-12222-1-1-22i2i2i2i−2i−2i−2i−2i-211110000000000-1-1-1-1-1-12i2i−2i−2i1-2-21−i−i−i−iiiii0000000000000000−i−iii11000000
χ3622222-12-1-1-100002-1222-122-2-2-2-2002-12-1-1-12222-1-1-2−2i−2i−2i−2i2i2i2i2i-211110000000000-1-1-1-1-1-1−2i−2i2i2i1-2-21iiii−i−i−i−i0000000000000000ii−i−i11000000
χ3722222-12-1-1-100002-1-2-22-1222222002-1211-1-2-2-2-2-1-12222222222-1-1-1-10000000000-1-11111-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-10000000000000000111111000000
χ3822222-12-1-1-100002-1-2-22-1222222002-1211-1-2-2-2-2-1-12-2-2-2-2-2-2-2-22-1-1-1-10000000000-1-111112222-1-2-2-1111111110000000000000000-1-1-1-111000000
χ3922222-12-1-1-100002-1-2-22-122-2-2-2-2002-1211-1-2-2-2-2-1-1-22i2i2i2i−2i−2i−2i−2i-211110000000000-1-11111−2i−2i2i2i1221−i−i−i−iiiii0000000000000000ii−i−i-1-1000000
χ4022222-12-1-1-100002-1-2-22-122-2-2-2-2002-1211-1-2-2-2-2-1-1-2−2i−2i−2i−2i2i2i2i2i-211110000000000-1-111112i2i−2i−2i1221iiii−i−i−i−i0000000000000000−i−iii-1-1000000
χ412222-22-222222222-2002-2222222-2-2-22-2002000022-200000000-222220022222222-2-200000000-200-2000000000000-2-2-2-200000000000000000000
χ422222-22-222222222-2002-222-2-2-2-2-2-2-22-20020000222000000002-2-2-2-2002222-2-2-2-2-2-2000000002002000000000000-2-22200000000000000000000
χ432222-22-2222-2-2-2-22-2002-222222222-22-2002000022-200000000-2222200-2-2-2-2-2-2-2-2-2-200000000-200-2000000000000222200000000000000000000
χ442222-22-2222-2-2-2-22-2002-222-2-2-2-222-22-20020000222000000002-2-2-2-200-2-2-2-22222-2-200000000200200000000000022-2-200000000000000000000
χ4522-2-222-22-2-22i2i−2i−2i22002-2-2-222-2-2−2i2i22-20020000-2-2200000000-222-2-2002i2i−2i−2i2i2i−2i−2i2-200000000200-2000000000000−2i2i−2i2i00000000000000000000
χ4622-2-222-22-2-22i2i−2i−2i22002-2-2-2-2-222−2i2i22-20020000-2-2-2000000002-2-222002i2i−2i−2i−2i−2i2i2i2-200000000-2002000000000000−2i2i2i−2i00000000000000000000
χ4722-2-222-22-2-2−2i−2i2i2i22002-2-2-222-2-22i−2i22-20020000-2-2200000000-222-2-200−2i−2i2i2i−2i−2i2i2i2-200000000200-20000000000002i−2i2i−2i00000000000000000000
χ4822-2-222-22-2-2−2i−2i2i2i22002-2-2-2-2-2222i−2i22-20020000-2-2-2000000002-2-22200−2i−2i2i2i2i2i−2i−2i2-200000000-20020000000000002i−2i−2i2i00000000000000000000
χ4922-2-2-2-12-1110000212i−2i2-1-2-222-2-200-2-12−ii-12i2i−2i−2i11-22i2i−2i−2i2i2i−2i−2i2-1-11100000000001-1−i−iii2-22-212i−2i-1−i−iii−i−iii0000000000000000-11-11−ii000000
χ5022-2-2-2-12-1110000212i−2i2-1-2-222-2-200-2-12−ii-12i2i−2i−2i11-2−2i−2i2i2i−2i−2i2i2i2-1-11100000000001-1−i−iii-22-2212i−2i-1ii−i−iii−i−i00000000000000001-11-1−ii000000
χ5122-2-2-2-12-1110000212i−2i2-1-2-2-2-22200-2-12−ii-12i2i−2i−2i11222-2-2-2-222-211-1-100000000001-1−i−iii−2i2i2i−2i-1−2i2i1-1-11111-1-10000000000000000i−i−iii−i000000
χ5222-2-2-2-12-1110000212i−2i2-1-2-2-2-22200-2-12−ii-12i2i−2i−2i112-2-22222-2-2-211-1-100000000001-1−i−iii2i−2i−2i2i-1−2i2i111-1-1-1-1110000000000000000−iii−ii−i000000
χ5322-2-2-2-12-111000021−2i2i2-1-2-222-2-200-2-12i−i-1−2i−2i2i2i11-22i2i−2i−2i2i2i−2i−2i2-1-11100000000001-1ii−i−i-22-221−2i2i-1−i−iii−i−iii00000000000000001-11-1i−i000000
χ5422-2-2-2-12-111000021−2i2i2-1-2-222-2-200-2-12i−i-1−2i−2i2i2i11-2−2i−2i2i2i−2i−2i2i2i2-1-11100000000001-1ii−i−i2-22-21−2i2i-1ii−i−iii−i−i0000000000000000-11-11i−i000000
χ5522-2-2-2-12-111000021−2i2i2-1-2-2-2-22200-2-12i−i-1−2i−2i2i2i11222-2-2-2-222-211-1-100000000001-1ii−i−i2i−2i−2i2i-12i−2i1-1-11111-1-10000000000000000−iii−i−ii000000
χ5622-2-2-2-12-111000021−2i2i2-1-2-2-2-22200-2-12i−i-1−2i−2i2i2i112-2-22222-2-2-211-1-100000000001-1ii−i−i−2i2i2i−2i-12i−2i111-1-1-1-1110000000000000000i−i−ii−ii000000
χ572-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392000-202i−2i2-22i−2i0002000-200002i−2i01+i−1−i1−i−1+i1+i−1−i1−i−1+i02-22i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000002−2i2−i22−2i2−i2000000000000
χ582-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392000-202i−2i2-22i−2i0002000-200002i−2i0−1−i1+i−1+i1−i−1−i1+i−1+i1−i02-22i−2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000−22−i2i2−22−i2i2000000000000
χ592-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392000-202i−2i-22−2i2i0002000-200002i−2i01−i−1+i−1−i1+i−1+i1−i1+i−1−i0-22−2i2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000−i2i22−2i2−i2−22000000000000
χ602-22i−2i020-22i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392000-202i−2i-22−2i2i0002000-200002i−2i0−1+i1−i1+i−1−i1−i−1+i−1−i1+i0-22−2i2i00−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000i2−i2−22−i2i22−2000000000000
χ612-22i−2i020-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392000-202i−2i2-22i−2i0002000-200002i−2i01+i−1−i1−i−1+i1+i−1−i1−i−1+i02-22i−2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000−22−i2i2−22−i2i2000000000000
χ622-22i−2i020-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392000-202i−2i2-22i−2i0002000-200002i−2i0−1−i1+i−1+i1−i−1−i1+i−1+i1−i02-22i−2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000002−2i2−i22−2i2−i2000000000000
χ632-22i−2i020-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392000-202i−2i-22−2i2i0002000-200002i−2i01−i−1+i−1−i1+i−1+i1−i1+i−1−i0-22−2i2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000i2−i2−22−i2i22−2000000000000
χ642-22i−2i020-22i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392000-202i−2i-22−2i2i0002000-200002i−2i0−1+i1−i1+i−1−i1−i−1+i−1−i1+i0-22−2i2i002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000−i2i22−2i2−i2−22000000000000
χ652-2−2i2i020-2−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372000-20−2i2i2-2−2i2i0002000-20000−2i2i01−i−1+i1+i−1−i1−i−1+i1+i−1−i02-2−2i2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000−22i2−i2−22i2−i2000000000000
χ662-2−2i2i020-2−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372000-20−2i2i2-2−2i2i0002000-20000−2i2i0−1+i1−i−1−i1+i−1+i1−i−1−i1+i02-2−2i2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000002−2−i2i22−2−i2i2000000000000
χ672-2−2i2i020-2−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372000-20−2i2i-222i−2i0002000-20000−2i2i01+i−1−i−1+i1−i−1−i1+i1−i−1+i0-222i−2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000−i2i2−22i2−i22−2000000000000
χ682-2−2i2i020-2−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372000-20−2i2i-222i−2i0002000-20000−2i2i0−1−i1+i1−i−1+i1+i−1−i−1+i1−i0-222i−2i00−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000i2−i22−2−i2i2−22000000000000
χ692-2−2i2i020-2−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372000-20−2i2i2-2−2i2i0002000-20000−2i2i01−i−1+i1+i−1−i1−i−1+i1+i−1−i02-2−2i2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000002−2−i2i22−2−i2i2000000000000
χ702-2−2i2i020-2−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372000-20−2i2i2-2−2i2i0002000-20000−2i2i0−1+i1−i−1−i1+i−1+i1−i−1−i1+i02-2−2i2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000−22i2−i2−22i2−i2000000000000
χ712-2−2i2i020-2−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372000-20−2i2i-222i−2i0002000-20000−2i2i01+i−1−i−1+i1−i−1−i1+i1−i−1+i0-222i−2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000i2−i22−2−i2i2−22000000000000
χ722-2−2i2i020-2−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372000-20−2i2i-222i−2i0002000-20000−2i2i0−1−i1+i1−i−1+i1+i−1−i−1+i1−i0-222i−2i002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000−i2i2−22i2−i22−2000000000000
χ7344444444444444-1444-14-1-1000044-1-1-144-1-1-1-1-1-1-10000000000000044-1-1-1-10000-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000000
χ7444444444444444-14-4-4-14-1-1000044-1-1-1-4-4-11111-1-100000000000000-4-4-1-1-1-10000-1-1111100000000000000001111-1-10000000000000000000000
χ754444444444-4-4-4-4-1444-14-1-10000-4-4-1-1-144-1-1-1-1-1-1-100000000000000-4-411110000-1-1-1-1-1-100000000000000001111110000000000000000000000
χ764444444444-4-4-4-4-14-4-4-14-1-10000-4-4-1-1-1-4-4-11111-1-1000000000000004411110000-1-111110000000000000000-1-1-1-1110000000000000000000000
χ774444-44-44444444-1-400-1-4-1-10000-4-41-1100-15−55−5-1-10000000000000000-1-1-1-10000115−55−500000000000000005−55−5110000000000000000000000
χ784444-44-44444444-1-400-1-4-1-10000-4-41-1100-1−55−55-1-10000000000000000-1-1-1-1000011−55−550000000000000000−55−55110000000000000000000000
χ794444-44-4444-4-4-4-4-1-400-1-4-1-10000441-1100-15−55−5-1-1000000000000000011110000115−55−50000000000000000−55−55-1-10000000000000000000000
χ804444-44-4444-4-4-4-4-1-400-1-4-1-10000441-1100-1−55−55-1-100000000000000001111000011−55−5500000000000000005−55−5-1-10000000000000000000000
χ814444-4-2-4-2-2-2000042004244444400-4-2-400-20000-2-2-400000000-4-2-2-2-2000000000022000000002002000000000000000000000000000000000000
χ824444-4-2-4-2-2-2000042004244-4-4-4-400-4-2-400-20000-2-24000000004222200000000002200000000-200-2000000000000000000000000000000000000
χ8344-4-444-44-4-44i4i−4i−4i-1400-1-4110000−4i4i-1-1100-1i5−i5−i5i5110000000000000000−i−iii0000-11i5−i5−i5i500000000000000005−5−55i−i0000000000000000000000
χ8444-4-444-44-4-44i4i−4i−4i-1400-1-4110000−4i4i-1-1100-1−i5i5i5−i5110000000000000000−i−iii0000-11−i5i5i5−i50000000000000000−555−5i−i0000000000000000000000
χ8544-4-444-44-4-4−4i−4i4i4i-1400-1-41100004i−4i-1-1100-1i5−i5−i5i5110000000000000000ii−i−i0000-11i5−i5−i5i50000000000000000−555−5−ii0000000000000000000000
χ8644-4-444-44-4-4−4i−4i4i4i-1400-1-41100004i−4i-1-1100-1−i5i5i5−i5110000000000000000ii−i−i0000-11−i5i5i5−i500000000000000005−5−55−ii0000000000000000000000
χ8744-4-44-2-4-22200004-20042-4-444-4-4004-2-400-2000022400000000-4-2-2220000000000-2200000000-2002000000000000000000000000000000000000
χ8844-4-44-2-4-22200004-20042-4-4-4-444004-2-400-2000022-400000000422-2-20000000000-2200000000200-2000000000000000000000000000000000000
χ8944-4-4-4444-4-44i4i−4i−4i-1-44i−4i-141100004i−4i1-1-14i−4i-1−i−iii11000000000000004-4−i−iii00001-1−i−iii0000000000000000-1-111−ii0000000000000000000000
χ9044-4-4-4444-4-44i4i−4i−4i-1-4−4i4i-141100004i−4i1-1-1−4i4i-1ii−i−i1100000000000000-44−i−iii00001-1ii−i−i000000000000000011-1-1−ii0000000000000000000000
χ9144-4-4-4444-4-4−4i−4i4i4i-1-44i−4i-14110000−4i4i1-1-14i−4i-1−i−iii1100000000000000-44ii−i−i00001-1−i−iii000000000000000011-1-1i−i0000000000000000000000
χ9244-4-4-4444-4-4−4i−4i4i4i-1-4−4i4i-14110000−4i4i1-1-1−4i4i-1ii−i−i11000000000000004-4ii−i−i00001-1ii−i−i0000000000000000-1-111i−i0000000000000000000000
χ934-44i−4i0-202−2i2i00004000-404i−4i4-44i−4i000-200020000−2i2i02+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i0-22−2i2i000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000000000000000000000
χ944-44i−4i0-202−2i2i00004000-404i−4i4-44i−4i000-200020000−2i2i0−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i0-22−2i2i0000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000000000000000000
χ954-44i−4i0-202−2i2i00004000-404i−4i-44−4i4i000-200020000−2i2i02−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i02-22i−2i000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000000000000000000000000000
χ964-44i−4i0-202−2i2i00004000-404i−4i-44−4i4i000-200020000−2i2i0−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i02-22i−2i0000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000000000000000000000000000
χ974-4−4i4i0-2022i−2i00004000-40−4i4i4-4−4i4i000-2000200002i−2i02−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i0-222i−2i000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000000000000000000
χ984-4−4i4i0-2022i−2i00004000-40−4i4i4-4−4i4i000-2000200002i−2i0−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i0-222i−2i0000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000000000000000000
χ994-4−4i4i0-2022i−2i00004000-40−4i4i-444i−4i000-2000200002i−2i02+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i02-2−2i2i000000000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000000000000000000000000000
χ1004-4−4i4i0-2022i−2i00004000-40−4i4i-444i−4i000-2000200002i−2i0−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i02-2−2i2i0000000000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000000000000000000000000000
χ10188888-48-4-4-40000-2-488-2-4-2-2000000-21-2-4-41-2-2-2-21100000000000000000000000011111100000000000000000000000000000000000000000000
χ10288888-48-4-4-40000-2-4-8-8-2-4-2-2000000-21-244122221100000000000000000000000011-1-1-1-100000000000000000000000000000000000000000000
χ1038888-8-4-8-4-4-40000-2400-24-2-200000021200125−2525−2511000000000000000000000000-1-1−55−5500000000000000000000000000000000000000000000
χ1048888-8-4-8-4-4-40000-2400-24-2-2000000212001−2525−252511000000000000000000000000-1-15−55−500000000000000000000000000000000000000000000
χ10588-8-88-4-8-4440000-2-400-2422000000-2120012i5−2i5−2i52i5-1-10000000000000000000000001-1−i5i5i5−i500000000000000000000000000000000000000000000
χ10688-8-88-4-8-4440000-2-400-2422000000-212001−2i52i52i5−2i5-1-10000000000000000000000001-1i5−i5−i5i500000000000000000000000000000000000000000000
χ10788-8-8-8-48-4440000-248i−8i-2-42200000021-2−4i4i1−2i−2i2i2i-1-1000000000000000000000000-11ii−i−i00000000000000000000000000000000000000000000
χ10888-8-8-8-48-4440000-24−8i8i-2-42200000021-24i−4i12i2i−2i−2i-1-1000000000000000000000000-11−i−iii00000000000000000000000000000000000000000000
χ1098-88i−8i080-88i−8i−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ37−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39-200020−2i2i0000000-200020000−2i2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000000000000000000000000000000000000000000
χ1108-88i−8i080-88i−8i8ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ378ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ39-200020−2i2i0000000-200020000−2i2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i080-8−8i8i−8ζ7−8ζ23−8ζ31−8ζ398ζ7+8ζ23+8ζ31+8ζ39−8ζ13−8ζ21−8ζ29−8ζ378ζ13+8ζ21+8ζ29+8ζ37-2000202i−2i0000000-2000200002i−2i00000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i080-8−8i8i8ζ7+8ζ23+8ζ31+8ζ39−8ζ7−8ζ23−8ζ31−8ζ398ζ13+8ζ21+8ζ29+8ζ37−8ζ13−8ζ21−8ζ29−8ζ37-2000202i−2i0000000-2000200002i−2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000000000000000000000000000000000000000000
χ11316-1616i−16i0-808−8i8i0000-400040−4i4i00000002000-200002i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-16−16i16i0-8088i−8i0000-4000404i−4i00000002000-20000−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000

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