Finite Group Databasebeta

← Group #13020829

Character table — Group #13020829

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111122224444444444444444444444444444555555558888888888888888888888881010101020202020202020202020202040404040404040404040404040404040
order12222222444444445888888881010101010101020202020202020204444444420202020202020204040404040404040404040404040404044444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ511111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ611111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ811111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ9111111111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ12111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-2-2-2-222-2-22000000002222222-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000-2-2-2-222-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-22000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-2222000000002222222-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000-2-2-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2222000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000222222-2-2000000000000000000000000
χ212222-2-2-2-22-22-20000222-2-20000-2-2-2-222222-2-2-2-2222i−2i2i2i−2i−2i2i−2i000000002222-2-2-2-2000000002i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ222222-2-2-2-22-22-20000222-2-20000-2-2-2-222222-2-2-2-222−2i2i−2i−2i2i2i−2i2i000000002222-2-2-2-200000000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ232222-2-2-2-22-22-200002-2-2220000-2-2-2-222222-2-2-2-2222i−2i2i2i−2i−2i2i−2i00000000-2-2-2-22222000000002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ242222-2-2-2-22-22-200002-2-2220000-2-2-2-222222-2-2-2-222−2i2i−2i−2i2i2i−2i2i00000000-2-2-2-2222200000000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ252222-2-2-2-2-22-220000200002i2i−2i−2i-2-2-2-2222-2-22222-2-22i−2i2i2i−2i−2i2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i0000000022-2-20000000000000000
χ262222-2-2-2-2-22-220000200002i2i−2i−2i-2-2-2-2222-2-22222-2-2−2i2i−2i−2i2i2i−2i2i00000000000000002i2i2i2i−2i−2i−2i−2i2i2i−2i−2i00000000-2-2220000000000000000
χ272222-2-2-2-2-22-22000020000−2i−2i2i2i-2-2-2-2222-2-22222-2-22i−2i2i2i−2i−2i2i−2i0000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i00000000-2-2220000000000000000
χ282222-2-2-2-2-22-22000020000−2i−2i2i2i-2-2-2-2222-2-22222-2-2−2i2i−2i−2i2i2i−2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i0000000022-2-20000000000000000
χ2922-2-222-2-20000002i−2i22−22−2i2−i2i2−i222-2-22-2-20000000022-2-2-2-22200002i2i−2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000002i−2i2−22−2i2−i2i2−i20000000000000000
χ3022-2-222-2-20000002i−2i22−22−2i2−i2i2−i222-2-22-2-200000000-2-22222-2-200002i2i−2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000−2i2i−22−22−i2i2−i2i20000000000000000
χ3122-2-222-2-20000002i−2i2−22−22−i2i2−i2i222-2-22-2-20000000022-2-2-2-22200002i2i−2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000002i−2i−22−22−i2i2−i2i20000000000000000
χ3222-2-222-2-20000002i−2i2−22−22−i2i2−i2i222-2-22-2-200000000-2-22222-2-200002i2i−2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000−2i2i2−22−2i2−i2i2−i20000000000000000
χ3322-2-222-2-2000000−2i2i22−22−2−i2i2−i2i222-2-22-2-20000000022-2-2-2-2220000−2i−2i2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000−2i2i2−22−2−i2i2−i2i20000000000000000
χ3422-2-222-2-2000000−2i2i22−22−2−i2i2−i2i222-2-22-2-200000000-2-22222-2-20000−2i−2i2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000002i−2i−22−22i2−i2i2−i20000000000000000
χ3522-2-222-2-2000000−2i2i2−22−22i2−i2i2−i222-2-22-2-20000000022-2-2-2-2220000−2i−2i2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000−2i2i−22−22i2−i2i2−i20000000000000000
χ3622-2-222-2-2000000−2i2i2−22−22i2−i2i2−i222-2-22-2-200000000-2-22222-2-20000−2i−2i2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000002i−2i2−22−2−i2i2−i2i20000000000000000
χ3722-2-2-2-22200002-20022−2−222−2−22-2-2222-2-2000000002i−2i−2i−2i2i2i2i−2i22-2-2000022−2−2−2−22222−2−2−2−22200002i−2i00i2−i2−i2i2−i2i2i2−i20000000000000000
χ3822-2-2-2-22200002-20022−2−222−2−22-2-2222-2-200000000−2i2i2i2i−2i−2i−2i2i22-2-2000022−2−2−2−22222−2−2−2−2220000−2i2i00−i2i2i2−i2i2−i2−i2i20000000000000000
χ3922-2-2-2-22200002-2002−222−2−222−2-2-2222-2-2000000002i−2i−2i−2i2i2i2i−2i22-2-20000−2−22222−2−2−2−22222−2−200002i−2i00−i2i2i2−i2i2−i2−i2i20000000000000000
χ4022-2-2-2-22200002-2002−222−2−222−2-2-2222-2-200000000−2i2i2i2i−2i−2i−2i2i22-2-20000−2−22222−2−2−2−22222−2−20000−2i2i00i2−i2−i2i2−i2i2i2−i20000000000000000
χ4122-2-2-2-2220000-220022−2−22−222−2-2-2222-2-2000000002i−2i−2i−2i2i2i2i−2i-2-222000022−2−2−2−222−2−22222−2−20000−2i2i00i2−i2−i2i2i2−i2−i2i20000000000000000
χ4222-2-2-2-2220000-220022−2−22−222−2-2-2222-2-200000000−2i2i2i2i−2i−2i−2i2i-2-222000022−2−2−2−222−2−22222−2−200002i−2i00−i2i2i2−i2−i2i2i2−i20000000000000000
χ4322-2-2-2-2220000-22002−222−22−2−22-2-2222-2-2000000002i−2i−2i−2i2i2i2i−2i-2-2220000−2−22222−2−222−2−2−2−2220000−2i2i00−i2i2i2−i2−i2i2i2−i20000000000000000
χ4422-2-2-2-2220000-22002−222−22−2−22-2-2222-2-200000000−2i2i2i2i−2i−2i−2i2i-2-2220000−2−22222−2−222−2−2−2−22200002i−2i00i2−i2−i2i2i2−i2−i2i20000000000000000
χ452-22-22-22-222-2-200002000000002-22-2-22-22222-2-2-2-2222-22-2-2-20000000000000000000000002-22-2000000000000002-2002-200000000
χ462-22-22-22-222-2-200002000000002-22-2-22-22222-2-2-2-2222-22-2-2-20000000000000000000000002-22-200000000000000-2200-2200000000
χ472-22-22-22-222-2-200002000000002-22-2-22-22222-2-2-2-2-2-2-22-2222000000000000000000000000-22-22000000000000002i−2i00−2i2i00000000
χ482-22-22-22-222-2-200002000000002-22-2-22-22222-2-2-2-2-2-2-22-2222000000000000000000000000-22-2200000000000000−2i2i002i−2i00000000
χ492-22-22-22-2-2-22200002000000002-22-2-22-2-2-2-2-22222222-22-2-2-2000000000000000000000000-22-2200000000000000000000002i−2i002i−2i
χ502-22-22-22-2-2-22200002000000002-22-2-22-2-2-2-2-22222222-22-2-2-2000000000000000000000000-22-220000000000000000000000−2i2i00−2i2i
χ512-22-22-22-2-2-22200002000000002-22-2-22-2-2-2-2-22222-2-2-22-22220000000000000000000000002-22-200000000000000000000002-200-22
χ522-22-22-22-2-2-22200002000000002-22-2-22-2-2-2-2-22222-2-2-22-22220000000000000000000000002-22-20000000000000000000000-22002-2
χ532-22-2-22-222-2-220000200000000-22-22-22-222-2-222-2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000002i−2i−2i2i000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000000000
χ542-22-2-22-222-2-220000200000000-22-22-22-222-2-222-2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000002i−2i−2i2i0000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000000000
χ552-22-2-22-222-2-220000200000000-22-22-22-222-2-222-2-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000−2i2i2i−2i000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000000000
χ562-22-2-22-222-2-220000200000000-22-22-22-222-2-222-2-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000−2i2i2i−2i0000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000000000
χ572-22-2-22-22-222-20000200000000-22-22-22-2-2-222-2-2222i−2i2i−2i−2i2i−2i2i000000000000000000000000−2i2i2i−2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900
χ582-22-2-22-22-222-20000200000000-22-22-22-2-2-222-2-2222i−2i2i−2i−2i2i−2i2i000000000000000000000000−2i2i2i−2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900
χ592-22-2-22-22-222-20000200000000-22-22-22-2-2-222-2-222−2i2i−2i2i2i−2i2i−2i0000000000000000000000002i−2i−2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700
χ602-22-2-22-22-222-20000200000000-22-22-22-2-2-222-2-222−2i2i−2i2i2i−2i2i−2i0000000000000000000000002i−2i−2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700
χ614444444444444444-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ624444444444444444-1-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ63444444444444-4-4-4-4-14444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ64444444444444-4-4-4-4-1-4-4-4-44444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6544444444-4-4-4-444-4-4-100000000-1-1-1-1-1-1-11111111100000000-1-1-1-11111i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i500000000000000000000000000000000
χ6644444444-4-4-4-444-4-4-100000000-1-1-1-1-1-1-11111111100000000-1-1-1-11111−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5i500000000000000000000000000000000
χ6744444444-4-4-4-4-4-444-100000000-1-1-1-1-1-1-111111111000000001111-1-1-1-1i5−i5i5−i5i5−i5i5−i5−i5i5−i5i5−i5i5−i5i500000000000000000000000000000000
χ6844444444-4-4-4-4-4-444-100000000-1-1-1-1-1-1-111111111000000001111-1-1-1-1−i5i5−i5i5−i5i5−i5i5i5−i5i5−i5i5−i5i5−i500000000000000000000000000000000
χ694444-4-4-4-44-44-40000-144-4-400001111-1-1-1-1-11111-1-1000000005−55−55−55−5-1-1-1-111115−55−5−55−5500000000000000000000000000000000
χ704444-4-4-4-44-44-40000-144-4-400001111-1-1-1-1-11111-1-100000000−55−55−55−55-1-1-1-11111−55−555−55−500000000000000000000000000000000
χ714444-4-4-4-44-44-40000-1-4-44400001111-1-1-1-1-11111-1-1000000005−55−55−55−51111-1-1-1-1−55−555−55−500000000000000000000000000000000
χ724444-4-4-4-44-44-40000-1-4-44400001111-1-1-1-1-11111-1-100000000−55−55−55−551111-1-1-1-15−55−5−55−5500000000000000000000000000000000
χ734444-4-4-4-4-44-440000-100004i4i−4i−4i1111-1-1-111-1-1-1-111000000005−55−5−55−55i5−i5i5−i5−i5i5−i5i5−i−i−i−iiiii00000000000000000000000000000000
χ744444-4-4-4-4-44-440000-100004i4i−4i−4i1111-1-1-111-1-1-1-11100000000−55−555−55−5−i5i5−i5i5i5−i5i5−i5−i−i−i−iiiii00000000000000000000000000000000
χ754444-4-4-4-4-44-440000-10000−4i−4i4i4i1111-1-1-111-1-1-1-111000000005−55−5−55−55−i5i5−i5i5i5−i5i5−i5iiii−i−i−i−i00000000000000000000000000000000
χ764444-4-4-4-4-44-440000-10000−4i−4i4i4i1111-1-1-111-1-1-1-11100000000−55−555−55−5i5−i5i5−i5−i5i5−i5i5iiii−i−i−i−i00000000000000000000000000000000
χ7744-4-444-4-40000004i−4i-122−2222−222i2−2i22i2−2i2-1-111-111i5−i5i5−i5i5−i5i5−i5000000005−5−55−i−iiiζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ2900000000000000000000000000000000
χ7844-4-444-4-40000004i−4i-122−2222−222i2−2i22i2−2i2-1-111-111−i5i5−i5i5−i5i5−i5i500000000−555−5−i−iii−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ3900000000000000000000000000000000
χ7944-4-444-4-40000004i−4i-1−2222−2222−2i22i2−2i22i2-1-111-111i5−i5i5−i5i5−i5i5−i5000000005−5−55−i−iii−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ2900000000000000000000000000000000
χ8044-4-444-4-40000004i−4i-1−2222−2222−2i22i2−2i22i2-1-111-111−i5i5−i5i5−i5i5−i5i500000000−555−5−i−iiiζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ3900000000000000000000000000000000
χ8144-4-444-4-4000000−4i4i-122−2222−22−2i22i2−2i22i2-1-111-111i5−i5i5−i5i5−i5i5−i500000000−555−5ii−i−iζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ2900000000000000000000000000000000
χ8244-4-444-4-4000000−4i4i-122−2222−22−2i22i2−2i22i2-1-111-111−i5i5−i5i5−i5i5−i5i5000000005−5−55ii−i−i−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ3900000000000000000000000000000000
χ8344-4-444-4-4000000−4i4i-1−2222−22222i2−2i22i2−2i2-1-111-111i5−i5i5−i5i5−i5i5−i500000000−555−5ii−i−i−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ29ζ13+ζ31+ζ37+ζ39ζ7+ζ21+ζ23+ζ29−ζ13−ζ31−ζ37−ζ39−ζ7−ζ21−ζ23−ζ2900000000000000000000000000000000
χ8444-4-444-4-4000000−4i4i-1−2222−22222i2−2i22i2−2i2-1-111-111−i5i5−i5i5−i5i5−i5i5000000005−5−55ii−i−iζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ39ζ7+ζ21+ζ23+ζ29ζ13+ζ31+ζ37+ζ39−ζ7−ζ21−ζ23−ζ29−ζ13−ζ31−ζ37−ζ3900000000000000000000000000000000
χ8544-4-4-4-44400004-400-122−22−222222−22−222211-1-1-111i5−i5−i5i5−i5i5i5−i500000000-1-111i5−i5−i5i5ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ2900000000000000000000000000000000
χ8644-4-4-4-44400004-400-122−22−222222−22−222211-1-1-111−i5i5i5−i5i5−i5−i5i500000000-1-111−i5i5i5−i5−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ3900000000000000000000000000000000
χ8744-4-4-4-44400004-400-1−222222−22−222222−2211-1-1-111i5−i5−i5i5−i5i5i5−i500000000-1-111i5−i5−i5i5−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ2900000000000000000000000000000000
χ8844-4-4-4-44400004-400-1−222222−22−222222−2211-1-1-111−i5i5i5−i5i5−i5−i5i500000000-1-111−i5i5i5−i5ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ3900000000000000000000000000000000
χ8944-4-4-4-4440000-4400-122−22−2222−222222−2211-1-1-111i5−i5−i5i5−i5i5i5−i50000000011-1-1−i5i5i5−i5ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ2900000000000000000000000000000000
χ9044-4-4-4-4440000-4400-122−22−2222−222222−2211-1-1-111−i5i5i5−i5i5−i5−i5i50000000011-1-1i5−i5−i5i5−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ3900000000000000000000000000000000
χ9144-4-4-4-4440000-4400-1−222222−2222−22−222211-1-1-111i5−i5−i5i5−i5i5i5−i50000000011-1-1−i5i5i5−i5−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ2900000000000000000000000000000000
χ9244-4-4-4-4440000-4400-1−222222−2222−22−222211-1-1-111−i5i5i5−i5i5−i5−i5i50000000011-1-1i5−i5−i5i5ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ3900000000000000000000000000000000
χ934-4-444-4-44000000004000000004-4-44-4-440000000044-44-44-4-400000000000000000000000000000000000000000000000000000000
χ944-4-444-4-44000000004000000004-4-44-4-4400000000-4-44-44-44400000000000000000000000000000000000000000000000000000000
χ954-4-44-444-400000000400000000-444-4-4-44000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ964-4-44-444-400000000400000000-444-4-4-4400000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ978-88-88-88-888-8-80000-200000000-22-222-22-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ988-88-88-88-8-8-8880000-200000000-22-222-222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-88-888-8-880000-2000000002-22-22-22-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-88-888-80000-2000000002-22-22-2222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-8800000000-200000000-222-222-22i5−2i52i5−2i5−2i52i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-8-8800000000-200000000-222-222-2−2i52i5−2i52i52i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-888-800000000-2000000002-2-2222-22i5−2i5−2i52i52i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-888-800000000-2000000002-2-2222-2−2i52i52i5−2i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000

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