Finite Group Databasebeta

← Group #14513376

Character table — Group #14513376

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222555566666688881212121212121212121212121212161616161616161624242424303030303030404040406060111122222222555566666688881212121212121212121212121212161616161616161624242424303030303030404040406060
order1244551010202020208888248888361212241010202040404040404040401515303060606060101020204444882424242488224410101010202020208888248888661212241010202040404040404040403030303060606060101020204444882424242488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ511-1-11111-1-1-1-1ii−i−i-1111-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1ii−i−ii−iii−i−ii−i11-1-11111-1-1-1-1ii−i−i-1111-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1ii−i−ii−iii−i−ii−i
χ611-1-11111-1-1-1-1ii−i−i-11-1-11111-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111−i−iiii−iii−i−i−ii11-1-11111-1-1-1-1ii−i−i-11-1-11111-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111−i−iiii−iii−i−i−ii
χ711-1-11111-1-1-1-1−i−iii-1111-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1−i−iii−ii−i−iii−ii11-1-11111-1-1-1-1−i−iii-1111-1-111-1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1−i−iii−ii−i−iii−ii
χ811-1-11111-1-1-1-1−i−iii-11-1-11111-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111ii−i−i−ii−i−iiii−i11-1-11111-1-1-1-1−i−iii-11-1-11111-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111ii−i−i−ii−i−iiii−i
χ92222222222222222220000-1-1-1-100222200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1002222222222222222220000-1-1-1-100222200000000-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ10222222222222-2-2-2-2220000-1-1-1-100222200000000-1-1-1-1-1-1-1-100000000-2-2111100222222222222-2-2-2-2220000-1-1-1-100222200000000-1-1-1-1-1-1-1-100000000-2-2111100
χ112222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000222222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−520000000000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000222222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52000000000000
χ122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022-2-2-2-22222-2-2−1+52−1−52−1+52−1−521−521−521+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+520000000000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022-2-2-2-22222-2-2−1+52−1−52−1+52−1−521−521−521+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+52000000000000
χ132222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000222222222222−1−52−1+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+52−1−52−1+52−1−52−1+520000000000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000222222222222−1−52−1+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+52−1−52−1+52−1−52−1+52000000000000
χ142222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022-2-2-2-22222-2-2−1−52−1+52−1−52−1+521+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+521−520000000000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022-2-2-2-22222-2-2−1−52−1+52−1−52−1+521+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+521−52000000000000
χ1522-2-22222-2-2-2-22i2i−2i−2i-220000-1-11100-2-22200000000-1-1-1-11111000000002i−2i−i−iii0022-2-22222-2-2-2-22i2i−2i−2i-220000-1-11100-2-22200000000-1-1-1-11111000000002i−2i−i−iii00
χ1622-2-22222-2-2-2-2−2i−2i2i2i-220000-1-11100-2-22200000000-1-1-1-1111100000000−2i2iii−i−i0022-2-22222-2-2-2-2−2i−2i2i2i-220000-1-11100-2-22200000000-1-1-1-1111100000000−2i2iii−i−i00
χ1722-2-2−1+52−1−52−1+52−1−521−521−521+521+520000-2222-2-222-2-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000000000022-2-2−1+52−1−52−1+52−1−521−521−521+521+520000-2222-2-222-2-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52000000000000
χ1822-2-2−1+52−1−52−1+52−1−521−521−521+521+520000-22-2-22222-2-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000000000022-2-2−1+52−1−52−1+52−1−521−521−521+521+520000-22-2-22222-2-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−52000000000000
χ1922-2-2−1−52−1+52−1−52−1+521+521+521−521−520000-2222-2-222-2-22-21+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+521+521+521−521−52−1−52−1+521+521−5200000000000022-2-2−1−52−1+52−1−52−1+521+521+521−521−520000-2222-2-222-2-22-21+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+521+521+521−521−52−1−52−1+521+521−52000000000000
χ2022-2-2−1−52−1+52−1−52−1+521+521+521−521−520000-22-2-22222-2-2-221+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+521+521+521−521−521+521−52−1−52−1+5200000000000022-2-2−1−52−1+52−1−52−1+521+521+521−521−520000-22-2-22222-2-2-221+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+521+521+521−521−521+521−52−1−52−1+52000000000000
χ212-22i−2i22-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900i2−i22−2-11i−i000000i2−i2i2−i22−22−2-1-111i−ii−i00001−i−1+i1+i−1−i00−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39002-22i−2i22-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900i2−i22−2-11i−i000000i2−i2i2−i22−22−2-1-111i−ii−i00001−i−1+i1+i−1−i00−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ3900
χ222-22i−2i22-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−i2i2−22-11i−i000000−i2i2−i2i2−22−22-1-111i−ii−i0000−1+i1−i−1−i1+i00−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39002-22i−2i22-2-22i−2i2i−2i−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−i2i2−22-11i−i000000−i2i2−i2i2−22−22-1-111i−ii−i0000−1+i1−i−1−i1+i00−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ3900
χ232-22i−2i22-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900i2−i22−2-11i−i000000i2−i2i2−i22−22−2-1-111i−ii−i0000−1+i1−i−1−i1+i00ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39002-22i−2i22-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900i2−i22−2-11i−i000000i2−i2i2−i22−22−2-1-111i−ii−i0000−1+i1−i−1−i1+i00ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ3900
χ242-22i−2i22-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−i2i2−22-11i−i000000−i2i2−i2i2−22−22-1-111i−ii−i00001−i−1+i1+i−1−i00ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39002-22i−2i22-2-22i−2i2i−2i2ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900−i2i2−22-11i−i000000−i2i2−i2i2−22−22-1-111i−ii−i00001−i−1+i1+i−1−i00ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ3900
χ252-2−2i2i22-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700i2−i2−22-11−ii000000i2−i2i2−i2−22−22-1-111−ii−ii00001+i−1−i1−i−1+i00−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37002-2−2i2i22-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700i2−i2−22-11−ii000000i2−i2i2−i2−22−22-1-111−ii−ii00001+i−1−i1−i−1+i00−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ3700
χ262-2−2i2i22-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−i2i22−2-11−ii000000−i2i2−i2i22−22−2-1-111−ii−ii0000−1−i1+i−1+i1−i00−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37002-2−2i2i22-2-2−2i2i−2i2i−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−i2i22−2-11−ii000000−i2i2−i2i22−22−2-1-111−ii−ii0000−1−i1+i−1+i1−i00−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ3700
χ272-2−2i2i22-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700i2−i2−22-11−ii000000i2−i2i2−i2−22−22-1-111−ii−ii0000−1−i1+i−1+i1−i00ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37002-2−2i2i22-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700i2−i2−22-11−ii000000i2−i2i2−i2−22−22-1-111−ii−ii0000−1−i1+i−1+i1−i00ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ3700
χ282-2−2i2i22-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−i2i22−2-11−ii000000−i2i2−i2i22−22−2-1-111−ii−ii00001+i−1−i1−i−1+i00ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37002-2−2i2i22-2-2−2i2i−2i2i2ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700−i2i22−2-11−ii000000−i2i2−i2i22−22−2-1-111−ii−ii00001+i−1−i1−i−1+i00ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ3700
χ293333333333333333-1-111110000-1-1-1-1-1-11111111100000000-1-1-1-11111-1-10000-1-13333333333333333-1-111110000-1-1-1-1-1-11111111100000000-1-1-1-11111-1-10000-1-1
χ303333333333333333-1-1-1-1-1-1000011-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1-1-10000113333333333333333-1-1-1-1-1-1000011-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1-1-1000011
χ31333333333333-3-3-3-3-1-111110000-1-1-1-1-1-11111111100000000-1-1-1-1-1-1-1-111000011333333333333-3-3-3-3-1-111110000-1-1-1-1-1-11111111100000000-1-1-1-1-1-1-1-111000011
χ32333333333333-3-3-3-3-1-1-1-1-1-1000011-1-1-1-1-1-1-1-1-1-1-1-10000000011111111110000-1-1333333333333-3-3-3-3-1-1-1-1-1-1000011-1-1-1-1-1-1-1-1-1-1-1-10000000011111111110000-1-1
χ3333-3-33333-3-3-3-33i3i−3i−3i1-111-1-10000-1111-1-11111-1-1-1-100000000-1-111ii−i−i−ii0000−ii33-3-33333-3-3-3-33i3i−3i−3i1-111-1-10000-1111-1-11111-1-1-1-100000000-1-111ii−i−i−ii0000−ii
χ3433-3-33333-3-3-3-33i3i−3i−3i1-1-1-11100001-111-1-1-1-1-1-111110000000011-1-1−i−iii−ii0000i−i33-3-33333-3-3-3-33i3i−3i−3i1-1-1-11100001-111-1-1-1-1-1-111110000000011-1-1−i−iii−ii0000i−i
χ3533-3-33333-3-3-3-3−3i−3i3i3i1-111-1-10000-1111-1-11111-1-1-1-100000000-1-111−i−iiii−i0000i−i33-3-33333-3-3-3-3−3i−3i3i3i1-111-1-10000-1111-1-11111-1-1-1-100000000-1-111−i−iiii−i0000i−i
χ3633-3-33333-3-3-3-3−3i−3i3i3i1-1-1-11100001-111-1-1-1-1-1-111110000000011-1-1ii−i−ii−i0000−ii33-3-33333-3-3-3-3−3i−3i3i3i1-1-1-11100001-111-1-1-1-1-1-111110000000011-1-1ii−i−ii−i0000−ii
χ374444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000440000-2-2-2-200−1+5−1−5−1+5−1−5000000001−521+521−521+521−521−521+521+5200000000000000004444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000440000-2-2-2-200−1+5−1−5−1+5−1−5000000001−521+521−521+521−521−521+521+520000000000000000
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χ752222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000222222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52000000000000-2-2-2-21−521+521−521+521−521−521+521+520000-2-2-2-2-2-2-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521−521+521+521−521+521−521+52000000000000
χ762222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000022-2-2-2-22222-2-2−1+52−1−52−1+52−1−521−521−521+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+52000000000000-2-2-2-21−521+521−521+521−521−521+521+520000-2-22222-2-2-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1−52000000000000
χ772222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000222222222222−1−52−1+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+52−1−52−1+52−1−52−1+52000000000000-2-2-2-21+521−521+521−521+521+521−521−520000-2-2-2-2-2-2-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521−521+521−521+521+521−521−521+521−521+521−52000000000000
χ782222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000022-2-2-2-22222-2-2−1−52−1+52−1−52−1+521+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+521−52000000000000-2-2-2-21+521−521+521−521+521+521−521−520000-2-22222-2-2-2-2221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1+52−1−52−1+52000000000000
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χ8122-2-2−1+52−1−52−1+52−1−521−521−521+521+520000-2222-2-222-2-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52000000000000-2-2221−521+521−521+52−1+52−1+52−1−52−1−5200002-2-2-222-2-222-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52000000000000
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χ8322-2-2−1−52−1+52−1−52−1+521+521+521−521−520000-2222-2-222-2-22-21+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+521+521+521−521−52−1−52−1+521+521−52000000000000-2-2221+521−521+521−52−1−52−1−52−1+52−1+5200002-2-2-222-2-222-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52000000000000
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χ1054-44i−4i44-4-44i−4i4i−4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ390000001-1−ii0000000000000011-1-1−ii−ii0000000000ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ3900-44−4i4i-4-444−4i4i−4i4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000-11i−i00000000000000-1-111i−ii−i0000000000−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ3900
χ1064-44i−4i44-4-44i−4i4i−4i4ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ390000001-1−ii0000000000000011-1-1−ii−ii0000000000−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ37−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ3900-44−4i4i-4-444−4i4i−4i4i−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000-11i−i00000000000000-1-111i−ii−i0000000000ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ37ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ3900
χ1074-44i−4i−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000002i2−2i222−22-222i−2i000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ391−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000-44−4i4i1−51+5−1+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000−2i22i2−22222-2−2i2i000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−1+52−1−521−521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000
χ1084-44i−4i−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000−2i22i2−2222-222i−2i000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ391−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000-44−4i4i1−51+5−1+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000002i2−2i222−222-2−2i2i000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−1+52−1−521−521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000
χ1094-44i−4i−1−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000002i2−2i222−22-222i−2i000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ371+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000-44−4i4i1+51−5−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000−2i22i2−22222-2−2i2i000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−1−52−1+521+521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000
χ1104-44i−4i−1−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000−2i22i2−2222-222i−2i000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ371+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000-44−4i4i1+51−5−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000002i2−2i222−222-2−2i2i000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−1−52−1+521+521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000
χ1114-4−4i4i44-4-4−4i4i−4i4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ370000001-1i−i0000000000000011-1-1i−ii−i0000000000ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ3700-444i−4i-4-4444i−4i4i−4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37000000-11−ii00000000000000-1-111−ii−ii0000000000−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ3700
χ1124-4−4i4i44-4-4−4i4i−4i4i4ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ370000001-1i−i0000000000000011-1-1i−ii−i0000000000−ζ7−ζ23−ζ31−ζ39ζ7+ζ23+ζ31+ζ39−ζ13−ζ21−ζ29−ζ37ζ13+ζ21+ζ29+ζ3700-444i−4i-4-4444i−4i4i−4i−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000-11−ii00000000000000-1-111−ii−ii0000000000ζ7+ζ23+ζ31+ζ39−ζ7−ζ23−ζ31−ζ39ζ13+ζ21+ζ29+ζ37−ζ13−ζ21−ζ29−ζ3700
χ1134-4−4i4i−1+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000002i2−2i2−2222-22−2i2i000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ391−521+52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000-444i−4i1−51+5−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000−2i22i222−222-22i−2i000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−1+52−1−521−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
χ1144-4−4i4i−1+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000−2i22i222−22-22−2i2i000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ391−521+52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000-444i−4i1−51+5−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000002i2−2i2−22222-22i−2i000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−1+52−1−521−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
χ1154-4−4i4i−1−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000002i2−2i2−2222-22−2i2i000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ371+521−52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000-444i−4i1+51−5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000−2i22i222−222-22i−2i000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−1−52−1+521+521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000
χ1164-4−4i4i−1−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000−2i22i222−22-22−2i2i000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ371+521−52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000-444i−4i1+51−5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000002i2−2i2−22222-22i−2i000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−1−52−1+521+521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000
χ1176666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3520000-2-222220000-2-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000000000-6-6-6-63−3523+3523−3523+3523−3523−3523+3523+352000022-2-2-2-2000022−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000000000
χ1186666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3520000-2-2-2-2-2-20000221−521+521−521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000000000-6-6-6-63−3523+3523−3523+3523−3523−3523+3523+35200002222220000-2-2−1+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+52000000000000
χ1196666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3520000-2-222220000-2-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000000000-6-6-6-63+3523−3523+3523−3523+3523+3523−3523−352000022-2-2-2-2000022−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000000000
χ1206666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3520000-2-2-2-2-2-20000221+521−521+521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000000000-6-6-6-63+3523−3523+3523−3523+3523+3523−3523−35200002222220000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000000000
χ12166-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+35200002-222-2-20000-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000000000-6-6663−3523+3523−3523+352−3+352−3+352−3−352−3−3520000-22-2-22200002-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000000000
χ12266-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+35200002-2-2-22200002-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000000000-6-6663−3523+3523−3523+352−3+352−3+352−3−352−3−3520000-2222-2-20000-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000000000
χ12366-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−35200002-222-2-20000-22−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000000000-6-6663+3523−3523+3523−352−3−352−3−352−3+352−3+3520000-22-2-22200002-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000000000
χ12466-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−35200002-2-2-22200002-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000000000-6-6663+3523−3523+3523−352−3−352−3−352−3+352−3+3520000-2222-2-20000-221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000000000
χ1258-88i−8i−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000002-2−2i2i00000000000000−1+52−1−521−521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000-88−8i8i2−252+25−2+25−2−254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000-222i−2i000000000000001−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000
χ1268-88i−8i−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000002-2−2i2i00000000000000−1−52−1+521+521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000-88−8i8i2+252−25−2−25−2+254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000-222i−2i000000000000001+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000
χ1278-8−8i8i−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000002-22i−2i00000000000000−1+52−1−521−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000-888i−8i2−252+25−2+25−2−25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000-22−2i2i000000000000001−521+52−1+52−1−52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000
χ1288-8−8i8i−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000002-22i−2i00000000000000−1−52−1+521+521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000-888i−8i2+252−25−2−25−2+25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000000000-22−2i2i000000000000001+521−52−1−52−1+52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000

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