Finite Group Databasebeta

← Group #13031796

Character table — Group #13031796

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222244445555888888881010101010101010101010101010101010101010101016161616404040404040111122222244445555888888881010101010101010101010101010101010101010101016161616404040404040
order12224488885101010444444202040404040448888888888888888888820202020448888222244888810101010444444202040404040448888888888888888888820202020448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1ii−i−i11111111111111-1-1-1-111111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1ii−i−i
χ611111111111111-1-1-1-111111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1−i−iii11111111111111-1-1-1-111111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1−i−iii
χ711111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-111−i−iii11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-111−i−iii
χ811111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-111ii−i−i11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-111ii−i−i
χ9111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-1111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-11111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-11
χ11111111-1-1-1-111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11111111-1-1-1-111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11
χ12111111-1-1-1-111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-1111111-1-1-1-111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-1
χ13111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii11-1-1-11i−i−ii111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ14111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i11-1-1-11−iii−i111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i11-1-1-11−iii−i
χ15111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1111-1−iii−i111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ16111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1111-1i−i−ii111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1111-1i−i−ii
χ172222-2-200002222222200-2-20000-2-200002222-2-2-2-20000000000000000002222-2-200002222222200-2-20000-2-200002222-2-2-2-2000000000000000000
χ182222-2-200002222222200-2-20000-2-20000-2-2-2-222220000000000000000002222-2-200002222222200-2-20000-2-20000-2-2-2-22222000000000000000000
χ192222-2-200002222-2-2-2-200-2-200002200002i2i−2i−2i−2i−2i2i2i0000000000000000002222-2-200002222-2-2-2-200-2-200002200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ202222-2-200002222-2-2-2-200-2-20000220000−2i−2i2i2i2i2i−2i−2i0000000000000000002222-2-200002222-2-2-2-200-2-20000220000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ2122-2-20022−2−222-2-222-2-2000022−2−20022−2−22-22-2000022−2−222−2−2000000000022-2-20022−2−222-2-222-2-2000022−2−20022−2−22-22-2000022−2−222−2−20000000000
χ2222-2-20022−2−222-2-222-2-2000022−2−20022−2−2-22-220000−2−222−2−222000000000022-2-20022−2−222-2-222-2-2000022−2−20022−2−2-22-220000−2−222−2−2220000000000
χ2322-2-20022−2−222-2-2-2-222000022−2−200−2−2222i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000022-2-20022−2−222-2-2-2-222000022−2−200−2−2222i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000000
χ2422-2-20022−2−222-2-2-2-222000022−2−200−2−222−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2000000000022-2-20022−2−222-2-2-2-222000022−2−200−2−222−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000
χ2522-2-200−2−22222-2-222-2-20000−2−22200−2−2222-22-20000−2−222−2−222000000000022-2-200−2−22222-2-222-2-20000−2−22200−2−2222-22-20000−2−222−2−2220000000000
χ2622-2-200−2−22222-2-222-2-20000−2−22200−2−222-22-22000022−2−222−2−2000000000022-2-200−2−22222-2-222-2-20000−2−22200−2−222-22-22000022−2−222−2−20000000000
χ2722-2-200−2−22222-2-2-2-2220000−2−2220022−2−22i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000022-2-200−2−22222-2-2-2-2220000−2−2220022−2−22i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i20000000000
χ2822-2-200−2−22222-2-2-2-2220000−2−2220022−2−2−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2000000000022-2-200−2−22222-2-2-2-2220000−2−2220022−2−2−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000
χ292-22-2002−22−22-2-222i−2i2i−2i00002−22−200i2−i2i2−i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000002-22-2002−22−22-2-222i−2i2i−2i00002−22−200i2−i2i2−i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ302-22-2002−22−22-2-222i−2i2i−2i00002−22−200i2−i2i2−i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000002-22-2002−22−22-2-222i−2i2i−2i00002−22−200i2−i2i2−i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ312-22-2002−22−22-2-22−2i2i−2i2i00002−22−200−i2i2−i2i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000002-22-2002−22−22-2-22−2i2i−2i2i00002−22−200−i2i2−i2i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ322-22-2002−22−22-2-22−2i2i−2i2i00002−22−200−i2i2−i2i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000002-22-2002−22−22-2-22−2i2i−2i2i00002−22−200−i2i2−i2i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ332-22-200−22−222-2-222i−2i2i−2i0000−22−2200−i2i2−i2i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000002-22-200−22−222-2-222i−2i2i−2i0000−22−2200−i2i2−i2i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ342-22-200−22−222-2-222i−2i2i−2i0000−22−2200−i2i2−i2i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000002-22-200−22−222-2-222i−2i2i−2i0000−22−2200−i2i2−i2i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ352-22-200−22−222-2-22−2i2i−2i2i0000−22−2200i2−i2i2−i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000002-22-200−22−222-2-22−2i2i−2i2i0000−22−2200i2−i2i2−i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ362-22-200−22−222-2-22−2i2i−2i2i0000−22−2200i2−i2i2−i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000002-22-200−22−222-2-22−2i2i−2i2i0000−22−2200i2−i2i2−i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ372-2-222-22-2-222-22-22i−2i−2i2i00-222-2-222i−2i2i−2i−2i2i000000000000000000000000002-2-222-22-2-222-22-22i−2i−2i2i00-222-2-222i−2i2i−2i−2i2i00000000000000000000000000
χ382-2-222-22-2-222-22-2−2i2i2i−2i00-222-2-22−2i2i−2i2i2i−2i000000000000000000000000002-2-222-22-2-222-22-2−2i2i2i−2i00-222-2-22−2i2i−2i2i2i−2i00000000000000000000000000
χ392-2-222-2-222-22-22-22i−2i−2i2i00-22-222-22i−2i−2i2i2i−2i000000000000000000000000002-2-222-2-222-22-22-22i−2i−2i2i00-22-222-22i−2i−2i2i2i−2i00000000000000000000000000
χ402-2-222-2-222-22-22-2−2i2i2i−2i00-22-222-2−2i2i2i−2i−2i2i000000000000000000000000002-2-222-2-222-22-22-2−2i2i2i−2i00-22-222-2−2i2i2i−2i−2i2i00000000000000000000000000
χ412-2-22-2200002-22-22i−2i−2i2i002-20000−2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000002-2-22-2200002-22-22i−2i−2i2i002-20000−2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ422-2-22-2200002-22-22i−2i−2i2i002-20000−2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700000000002-2-22-2200002-22-22i−2i−2i2i002-20000−2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ432-2-22-2200002-22-2−2i2i2i−2i002-200002i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000002-2-22-2200002-22-2−2i2i2i−2i002-200002i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ442-2-22-2200002-22-2−2i2i2i−2i002-200002i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000002-2-22-2200002-22-2−2i2i2i−2i002-200002i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ454444444444-1-1-1-1000044-1-1-1-1-1-10000000000000000000000-1-1-1-10000004444444444-1-1-1-1000044-1-1-1-1-1-10000000000000000000000-1-1-1-1000000
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χ47444444-4-4-4-4-1-1-1-100004-4-1-111110000000000000000000000-1-111000000444444-4-4-4-4-1-1-1-100004-4-1-111110000000000000000000000-1-111000000
χ48444444-4-4-4-4-1-1-1-10000-44-1-11111000000000000000000000011-1-1000000444444-4-4-4-4-1-1-1-10000-44-1-11111000000000000000000000011-1-1000000
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χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111
χ61111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ62111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1
χ6311111111111111-1-1-1-111111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111−i−iii−i−iii−i−i−i−iiiii-1-1-1-111−i−iii
χ6411111111111111-1-1-1-111111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-111ii−i−i
χ6511111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111−i−iii−i−iii−i−i−i−iiiii1111-1-1ii−i−i
χ6611111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111ii−i−iii−i−iiiii−i−i−i−i1111-1-1−i−iii
χ67111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-111-11-11-11
χ68111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-111-11-1
χ69111111-1-1-1-111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-11-11-11-1
χ70111111-1-1-1-111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-11-11
χ71111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii11-1-1-11i−i−ii-1-1-1-1-1-11111-1-1-1-11111-11-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1111-1−iii−i
χ72111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i11-1-1-11−iii−i-1-1-1-1-1-11111-1-1-1-11111-11-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1111-1i−i−ii
χ73111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1111-1−iii−i-1-1-1-1-1-11111-1-1-1-111111-1-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i11-1-1-11i−i−ii
χ74111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1111-1i−i−ii-1-1-1-1-1-11111-1-1-1-111111-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii11-1-1-11−iii−i
χ752222-2-200002222222200-2-20000-2-200002222-2-2-2-2000000000000000000-2-2-2-2220000-2-2-2-2-2-2-2-200220000220000-2-2-2-22222000000000000000000
χ762222-2-200002222222200-2-20000-2-20000-2-2-2-22222000000000000000000-2-2-2-2220000-2-2-2-2-2-2-2-2002200002200002222-2-2-2-2000000000000000000
χ772222-2-200002222-2-2-2-200-2-200002200002i2i−2i−2i−2i−2i2i2i000000000000000000-2-2-2-2220000-2-2-2-2222200220000-2-20000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ782222-2-200002222-2-2-2-200-2-20000220000−2i−2i2i2i2i2i−2i−2i000000000000000000-2-2-2-2220000-2-2-2-2222200220000-2-200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ7922-2-20022−2−222-2-222-2-2000022−2−20022−2−22-22-2000022−2−222−2−20000000000-2-22200−2−222-2-222-2-2220000−2−22200−2−222-22-220000−2−222−2−2220000000000
χ8022-2-20022−2−222-2-222-2-2000022−2−20022−2−2-22-220000−2−222−2−2220000000000-2-22200−2−222-2-222-2-2220000−2−22200−2−2222-22-2000022−2−222−2−20000000000
χ8122-2-20022−2−222-2-2-2-222000022−2−200−2−2222i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000000-2-22200−2−222-2-22222-2-20000−2−2220022−2−2−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000
χ8222-2-20022−2−222-2-2-2-222000022−2−200−2−222−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000-2-22200−2−222-2-22222-2-20000−2−2220022−2−22i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000000
χ8322-2-200−2−22222-2-222-2-20000−2−22200−2−2222-22-20000−2−222−2−2220000000000-2-2220022−2−2-2-222-2-222000022−2−20022−2−2-22-22000022−2−222−2−20000000000
χ8422-2-200−2−22222-2-222-2-20000−2−22200−2−222-22-22000022−2−222−2−20000000000-2-2220022−2−2-2-222-2-222000022−2−20022−2−22-22-20000−2−222−2−2220000000000
χ8522-2-200−2−22222-2-2-2-2220000−2−2220022−2−22i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i20000000000-2-2220022−2−2-2-22222-2-2000022−2−200−2−222−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000
χ8622-2-200−2−22222-2-2-2-2220000−2−2220022−2−2−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000-2-2220022−2−2-2-22222-2-2000022−2−200−2−2222i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i20000000000
χ872-22-2002−22−22-2-222i−2i2i−2i00002−22−200i2−i2i2−i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000-22-2200−22−22-222-2−2i2i−2i2i0000−22−2200−i2i2−i2i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ882-22-2002−22−22-2-222i−2i2i−2i00002−22−200i2−i2i2−i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000-22-2200−22−22-222-2−2i2i−2i2i0000−22−2200−i2i2−i2i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ892-22-2002−22−22-2-22−2i2i−2i2i00002−22−200−i2i2−i2i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000-22-2200−22−22-222-22i−2i2i−2i0000−22−2200i2−i2i2−i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ902-22-2002−22−22-2-22−2i2i−2i2i00002−22−200−i2i2−i2i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000-22-2200−22−22-222-22i−2i2i−2i0000−22−2200i2−i2i2−i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ912-22-200−22−222-2-222i−2i2i−2i0000−22−2200−i2i2−i2i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000-22-22002−22−2-222-2−2i2i−2i2i00002−22−200i2−i2i2−i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ922-22-200−22−222-2-222i−2i2i−2i0000−22−2200−i2i2−i2i200002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000-22-22002−22−2-222-2−2i2i−2i2i00002−22−200i2−i2i2−i20000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ932-22-200−22−222-2-22−2i2i−2i2i0000−22−2200i2−i2i2−i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000-22-22002−22−2-222-22i−2i2i−2i00002−22−200−i2i2−i2i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ942-22-200−22−222-2-22−2i2i−2i2i0000−22−2200i2−i2i2−i200002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000-22-22002−22−2-222-22i−2i2i−2i00002−22−200−i2i2−i2i20000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ952-2-222-22-2-222-22-22i−2i−2i2i00-222-2-222i−2i2i−2i−2i2i00000000000000000000000000-222-2-22-222-2-22-22−2i2i2i−2i002-2-222-2−2i2i−2i2i2i−2i00000000000000000000000000
χ962-2-222-22-2-222-22-2−2i2i2i−2i00-222-2-22−2i2i−2i2i2i−2i00000000000000000000000000-222-2-22-222-2-22-222i−2i−2i2i002-2-222-22i−2i2i−2i−2i2i00000000000000000000000000
χ972-2-222-2-222-22-22-22i−2i−2i2i00-22-222-22i−2i−2i2i2i−2i00000000000000000000000000-222-2-222-2-22-22-22−2i2i2i−2i002-22-2-22−2i2i2i−2i−2i2i00000000000000000000000000
χ982-2-222-2-222-22-22-2−2i2i2i−2i00-22-222-2−2i2i2i−2i−2i2i00000000000000000000000000-222-2-222-2-22-22-222i−2i−2i2i002-22-2-222i−2i−2i2i2i−2i00000000000000000000000000
χ992-2-22-2200002-22-22i−2i−2i2i002-20000−2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000-222-22-20000-22-22−2i2i2i−2i00-2200002i−2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ1002-2-22-2200002-22-22i−2i−2i2i002-20000−2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000-222-22-20000-22-22−2i2i2i−2i00-2200002i−2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ1012-2-22-2200002-22-2−2i2i2i−2i002-200002i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000-222-22-20000-22-222i−2i−2i2i00-220000−2i2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ1022-2-22-2200002-22-2−2i2i2i−2i002-200002i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000-222-22-20000-22-222i−2i−2i2i00-220000−2i2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ1034444444444-1-1-1-1000044-1-1-1-1-1-10000000000000000000000-1-1-1-1000000-4-4-4-4-4-4-4-4-4-411110000-4-411111100000000000000000000001111000000
χ1044444444444-1-1-1-10000-4-4-1-1-1-1-1-100000000000000000000001111000000-4-4-4-4-4-4-4-4-4-411110000441111110000000000000000000000-1-1-1-1000000
χ105444444-4-4-4-4-1-1-1-100004-4-1-111110000000000000000000000-1-111000000-4-4-4-4-4-4444411110000-4411-1-1-1-1000000000000000000000011-1-1000000
χ106444444-4-4-4-4-1-1-1-10000-44-1-11111000000000000000000000011-1-1000000-4-4-4-4-4-44444111100004-411-1-1-1-10000000000000000000000-1-111000000
χ1074-4-444-44-4-44-11-110000001-1-111-10000000000000000000000i5−i5i5−i5000000-444-4-44-444-41-11-1000000-111-1-110000000000000000000000−i5i5−i5i5000000
χ1084-4-444-44-4-44-11-110000001-1-111-10000000000000000000000−i5i5−i5i5000000-444-4-44-444-41-11-1000000-111-1-110000000000000000000000i5−i5i5−i5000000
χ1094-4-444-4-444-4-11-110000001-11-1-110000000000000000000000i5−i5−i5i5000000-444-4-444-4-441-11-1000000-11-111-10000000000000000000000−i5i5i5−i5000000
χ1104-4-444-4-444-4-11-110000001-11-1-110000000000000000000000−i5i5i5−i5000000-444-4-444-4-441-11-1000000-11-111-10000000000000000000000i5−i5−i5i5000000
χ1118888-8-80000-2-2-2-200000022000000000000000000000000000000000000-8-8-8-88800002222000000-2-2000000000000000000000000000000000000
χ11288-8-8004242−42−42-2-22200000000−2−22200000000000000000000000000000000-8-88800−42−42424222-2-20000000022−2−200000000000000000000000000000000
χ11388-8-800−42−424242-2-2220000000022−2−200000000000000000000000000000000-8-888004242−42−4222-2-200000000−2−22200000000000000000000000000000000
χ1148-88-80042−4242−42-222-200000000−22−2200000000000000000000000000000000-88-8800−4242−42422-2-22000000002−22−200000000000000000000000000000000
χ1158-88-800−4242−4242-222-2000000002−22−200000000000000000000000000000000-88-880042−4242−422-2-2200000000−22−2200000000000000000000000000000000
χ1168-8-88-880000-22-22000000-22000000000000000000000000000000000000-888-88-800002-22-20000002-2000000000000000000000000000000000000

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