Finite Group Databasebeta

← Group #13034895

Character table — Group #13034895

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112244444444555588888881010101010101616161620202020202020202020202020204040401111224444444455558888888101010101010161616162020202020202020202020202020404040
order12224422588101010444442020404040402288881010202044444488888888288222244221088101010444442020404040402288881010202044444488888888288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-1111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111-1-1-1-11111111-1-1ii−i−i1111-1-1ii−i−i-1-1iii−i−i−i-1i−i11111111111111-1-1-1-11111111-1-1ii−i−i1111-1-1ii−i−i-1-1iii−i−i−i-1i−i
χ411111111111111-1-1-1-11111111-1-1−i−iii1111-1-1−i−iii-1-1−i−i−iiii-1−ii11111111111111-1-1-1-11111111-1-1−i−iii1111-1-1−i−iii-1-1−i−i−iiii-1−ii
χ5111111111-1-11111111-111-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1111111111-1-11111111-111-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1
χ6111111111-1-11111111-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111111111111-1-11111111-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111
χ7111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1ii−i−i11-1-1-1-1−i−iii11iii−i−i−i1−ii111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1ii−i−i11-1-1-1-1−i−iii11iii−i−i−i1−ii
χ8111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1−i−iii11-1-1-1-1ii−i−i11−i−i−iiii1i−i111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1−i−iii11-1-1-1-1ii−i−i11−i−i−iiii1i−i
χ9111111-1-11111111111-1111111111111-1-1-1-1-1-11111111-1-11-1-1-1-1-1111111-1-11111111111-1111111111111-1-1-1-1-1-11111111-1-11-1-1-1-1-1
χ10111111-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111111111-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111
χ11111111-1-1111111-1-1-1-1-1111111-1-1ii−i−i-1-1-1-111ii−i−i-1-1i−i−i−iii1−ii111111-1-1111111-1-1-1-1-1111111-1-1ii−i−i-1-1-1-111ii−i−i-1-1i−i−i−iii1−ii
χ12111111-1-1111111-1-1-1-1-1111111-1-1−i−iii-1-1-1-111−i−iii-1-1−iiii−i−i1i−i111111-1-1111111-1-1-1-1-1111111-1-1−i−iii-1-1-1-111−i−iii-1-1−iiii−i−i1i−i
χ13111111-1-11-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-11-1-1111111111-1-11-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-11-1-1111
χ14111111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111-1111-1-1111111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111-1111-1-1
χ15111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1ii−i−i-1-11111−i−iii11i−i−i−iii-1i−i111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1ii−i−i-1-11111−i−iii11i−i−i−iii-1i−i
χ16111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1−i−iii-1-11111ii−i−i11−iiii−i−i-1−ii111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1−i−iii-1-11111ii−i−i11−iiii−i−i-1−ii
χ172222-2-20020022222220-2-20000-2-22222000000000000-200-2000002222-2-20020022222220-2-20000-2-22222000000000000-200-200000
χ182222-2-20020022222220-2-20000-2-2-2-2-2-20000000000002002000002222-2-20020022222220-2-20000-2-2-2-2-2-2000000000000200200000
χ192222-2-200200222-2-2-2-20-2-20000222i2i−2i−2i000000000000−2i002i000002222-2-200200222-2-2-2-20-2-20000222i2i−2i−2i000000000000−2i002i00000
χ202222-2-200200222-2-2-2-20-2-2000022−2i−2i2i2i0000000000002i00−2i000002222-2-200200222-2-2-2-20-2-2000022−2i−2i2i2i0000000000002i00−2i00000
χ2122-2-200002i2−i22-2-22i−2i2i−2i000i2i2−i2−i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000001−i−1+i1+i−1−i2−200000000022-2-200002i2−i22-2-22i−2i2i−2i000i2i2−i2−i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000001−i−1+i1+i−1−i2−2000000000
χ2222-2-200002i2−i22-2-22i−2i2i−2i000i2i2−i2−i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000−1+i1−i−1−i1+i2−200000000022-2-200002i2−i22-2-22i−2i2i−2i000i2i2−i2−i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000−1+i1−i−1−i1+i2−2000000000
χ2322-2-200002i2−i22-2-2−2i2i−2i2i000i2i2−i2−i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000001+i−1−i1−i−1+i−2200000000022-2-200002i2−i22-2-2−2i2i−2i2i000i2i2−i2−i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000001+i−1−i1−i−1+i−22000000000
χ2422-2-200002i2−i22-2-2−2i2i−2i2i000i2i2−i2−i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000−1−i1+i−1+i1−i−2200000000022-2-200002i2−i22-2-2−2i2i−2i2i000i2i2−i2−i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000−1−i1+i−1+i1−i−22000000000
χ2522-2-200002−i2i22-2-22i−2i2i−2i000−i2−i2i2i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−1+i1−i−1−i1+i−2200000000022-2-200002−i2i22-2-22i−2i2i−2i000−i2−i2i2i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−1+i1−i−1−i1+i−22000000000
χ2622-2-200002−i2i22-2-22i−2i2i−2i000−i2−i2i2i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000001−i−1+i1+i−1−i−2200000000022-2-200002−i2i22-2-22i−2i2i−2i000−i2−i2i2i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000001−i−1+i1+i−1−i−22000000000
χ2722-2-200002−i2i22-2-2−2i2i−2i2i000−i2−i2i2i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−1−i1+i−1+i1−i2−200000000022-2-200002−i2i22-2-2−2i2i−2i2i000−i2−i2i2i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−1−i1+i−1+i1−i2−2000000000
χ2822-2-200002−i2i22-2-2−2i2i−2i2i000−i2−i2i2i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000001+i−1−i1−i−1+i2−200000000022-2-200002−i2i22-2-2−2i2i−2i2i000−i2−i2i2i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000001+i−1−i1−i−1+i2−2000000000
χ292-2-222-200200-2-2222-2-202-200002-2000000000000000002i−2i02i−2i0002-2-222-200200-2-2222-2-202-200002-2000000000000000002i−2i02i−2i000
χ302-2-222-200200-2-2222-2-202-200002-200000000000000000−2i2i0−2i2i0002-2-222-200200-2-2222-2-202-200002-200000000000000000−2i2i0−2i2i000
χ312-2-222-200200-2-22-2-22202-20000-22000000000000000002-20-220002-2-222-200200-2-22-2-22202-20000-22000000000000000002-20-22000
χ322-2-222-200200-2-22-2-22202-20000-2200000000000000000-2202-20002-2-222-200200-2-22-2-22202-20000-2200000000000000000-2202-2000
χ332-2-22-222-2200-2-2222-2-20-220000-2200002-2002-20000000000000002-2-22-222-2200-2-2222-2-20-220000-2200002-2002-2000000000000000
χ342-2-22-222-2200-2-22-2-2220-2200002-200002-200-220000000000000002-2-22-222-2200-2-22-2-2220-2200002-200002-200-22000000000000000
χ352-2-22-22-22200-2-2222-2-20-220000-220000-2200-220000000000000002-2-22-22-22200-2-2222-2-20-220000-220000-2200-22000000000000000
χ362-2-22-22-22200-2-22-2-2220-2200002-20000-22002-20000000000000002-2-22-22-22200-2-22-2-2220-2200002-20000-22002-2000000000000000
χ3744444444-144-1-1-100004-1-1-1-1-1-1000000-1-1-1-10000000000000000044444444-144-1-1-100004-1-1-1-1-1-1000000-1-1-1-100000000000000000
χ3844444444-1-4-4-1-1-10000-4-1-11111000000-1-1110000000000000000044444444-1-4-4-1-1-10000-4-1-11111000000-1-11100000000000000000
χ39444444-4-4-144-1-1-10000-4-1-1-1-1-1-1000000111100000000000000000444444-4-4-144-1-1-10000-4-1-1-1-1-1-1000000111100000000000000000
χ40444444-4-4-1-4-4-1-1-100004-1-1111100000011-1-100000000000000000444444-4-4-1-4-4-1-1-100004-1-1111100000011-1-100000000000000000
χ414-44-40000400-44-44i−4i−4i4i00000000000000000000000000000000004-44-40000400-44-44i−4i−4i4i0000000000000000000000000000000000
χ424-44-40000400-44-4−4i4i4i−4i00000000000000000000000000000000004-44-40000400-44-4−4i4i4i−4i0000000000000000000000000000000000
χ434-4-44-444-4-10011-1000001-15−55−5000000-115−5000000000000000004-4-44-444-4-10011-1000001-15−55−5000000-115−500000000000000000
χ444-4-44-444-4-10011-1000001-1−55−55000000-11−55000000000000000004-4-44-444-4-10011-1000001-1−55−55000000-11−5500000000000000000
χ454-4-44-44-44-10011-1000001-15−55−50000001-1−55000000000000000004-4-44-44-44-10011-1000001-15−55−50000001-1−5500000000000000000
χ464-4-44-44-44-10011-1000001-1−55−550000001-15−5000000000000000004-4-44-44-44-10011-1000001-1−55−550000001-15−500000000000000000
χ478888-8-800-200-2-2-2000002200000000000000000000000000000008888-8-800-200-2-2-200000220000000000000000000000000000000
χ4888-8-80000-24i2−4i2-2220000000−i2−i2i2i200000000000000000000000000088-8-80000-24i2−4i2-2220000000−i2−i2i2i2000000000000000000000000000
χ4988-8-80000-2−4i24i2-2220000000i2i2−i2−i200000000000000000000000000088-8-80000-2−4i24i2-2220000000i2i2−i2−i2000000000000000000000000000
χ508-88-80000-2002-220000000i10−i10−i10i100000000000000000000000000008-88-80000-2002-220000000i10−i10−i10i10000000000000000000000000000
χ518-88-80000-2002-220000000−i10i10i10−i100000000000000000000000000008-88-80000-2002-220000000−i10i10i10−i10000000000000000000000000000
χ528-8-888-800-20022-200000-2200000000000000000000000000000008-8-888-800-20022-200000-220000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-111
χ5511111111111111-1-1-1-11111111-1-1ii−i−i1111-1-1ii−i−i-1-1iii−i−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111−i−iii-1-1-1-111−i−iii11−i−i−iiii1−ii
χ5611111111111111-1-1-1-11111111-1-1−i−iii1111-1-1−i−iii-1-1−i−i−iiii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111ii−i−i-1-1-1-111ii−i−i11iii−i−i−i1i−i
χ57111111111-1-11111111-111-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111
χ58111111111-1-11111111-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1-1-1-1-1111111111-1-1
χ59111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1ii−i−i11-1-1-1-1−i−iii11iii−i−i−i1−ii-1-1-1-1-1-1-1-1-111-1-1-111111-1-1111111−i−iii-1-11111ii−i−i-1-1−i−i−iiii-1i−i
χ60111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1−i−iii11-1-1-1-1ii−i−i11−i−i−iiii1i−i-1-1-1-1-1-1-1-1-111-1-1-111111-1-1111111ii−i−i-1-11111−i−iii-1-1iii−i−i−i-1−ii
χ61111111-1-11111111111-1111111111111-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-111111
χ62111111-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-11-1-11-1-11-1-1
χ63111111-1-1111111-1-1-1-1-1111111-1-1ii−i−i-1-1-1-111ii−i−i-1-1i−i−i−iii1−ii-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111−i−iii1111-1-1−i−iii11−iiii−i−i-1i−i
χ64111111-1-1111111-1-1-1-1-1111111-1-1−i−iii-1-1-1-111−i−iii-1-1−iiii−i−i1i−i-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111ii−i−i1111-1-1ii−i−i11i−i−i−iii-1−ii
χ65111111-1-11-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-111-111-1-1-1
χ66111111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111-1111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1111-1-11-1-1-111
χ67111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1ii−i−i-1-11111−i−iii11i−i−i−iii-1i−i-1-1-1-1-1-111-111-1-1-11111-1-1-1111111−i−iii11-1-1-1-1ii−i−i-1-1−iiii−i−i1−ii
χ68111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1−i−iii-1-11111ii−i−i11−iiii−i−i-1−ii-1-1-1-1-1-111-111-1-1-11111-1-1-1111111ii−i−i11-1-1-1-1−i−iii-1-1i−i−i−iii1i−i
χ692222-2-20020022222220-2-20000-2-22222000000000000-200-200000-2-2-2-22200-200-2-2-2-2-2-2-2022000022-2-2-2-2000000000000200200000
χ702222-2-20020022222220-2-20000-2-2-2-2-2-2000000000000200200000-2-2-2-22200-200-2-2-2-2-2-2-20220000222222000000000000-200-200000
χ712222-2-200200222-2-2-2-20-2-20000222i2i−2i−2i000000000000−2i002i00000-2-2-2-22200-200-2-2-222220220000-2-2−2i−2i2i2i0000000000002i00−2i00000
χ722222-2-200200222-2-2-2-20-2-2000022−2i−2i2i2i0000000000002i00−2i00000-2-2-2-22200-200-2-2-222220220000-2-22i2i−2i−2i000000000000−2i002i00000
χ7322-2-200002i2−i22-2-22i−2i2i−2i000i2i2−i2−i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000001−i−1+i1+i−1−i2−2000000000-2-2220000-2−i2i2-222−2i2i−2i2i000−i2−i2i2i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000−1+i1−i−1−i1+i−22000000000
χ7422-2-200002i2−i22-2-22i−2i2i−2i000i2i2−i2−i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000−1+i1−i−1−i1+i2−2000000000-2-2220000-2−i2i2-222−2i2i−2i2i000−i2−i2i2i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000001−i−1+i1+i−1−i−22000000000
χ7522-2-200002i2−i22-2-2−2i2i−2i2i000i2i2−i2−i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000001+i−1−i1−i−1+i−22000000000-2-2220000-2−i2i2-2222i−2i2i−2i000−i2−i2i2i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000−1−i1+i−1+i1−i2−2000000000
χ7622-2-200002i2−i22-2-2−2i2i−2i2i000i2i2−i2−i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000−1−i1+i−1+i1−i−22000000000-2-2220000-2−i2i2-2222i−2i2i−2i000−i2−i2i2i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000001+i−1−i1−i−1+i2−2000000000
χ7722-2-200002−i2i22-2-22i−2i2i−2i000−i2−i2i2i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−1+i1−i−1−i1+i−22000000000-2-2220000-2i2−i2-222−2i2i−2i2i000i2i2−i2−i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000001−i−1+i1+i−1−i2−2000000000
χ7822-2-200002−i2i22-2-22i−2i2i−2i000−i2−i2i2i2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000001−i−1+i1+i−1−i−22000000000-2-2220000-2i2−i2-222−2i2i−2i2i000i2i2−i2−i200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000−1+i1−i−1−i1+i2−2000000000
χ7922-2-200002−i2i22-2-2−2i2i−2i2i000−i2−i2i2i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−1−i1+i−1+i1−i2−2000000000-2-2220000-2i2−i2-2222i−2i2i−2i000i2i2−i2−i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000001+i−1−i1−i−1+i−22000000000
χ8022-2-200002−i2i22-2-2−2i2i−2i2i000−i2−i2i2i2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000001+i−1−i1−i−1+i2−2000000000-2-2220000-2i2−i2-2222i−2i2i−2i000i2i2−i2−i200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000−1−i1+i−1+i1−i−22000000000
χ812-2-222-200200-2-2222-2-202-200002-2000000000000000002i−2i02i−2i000-222-2-2200-20022-2-2-2220-220000-2200000000000000000−2i2i0−2i2i000
χ822-2-222-200200-2-2222-2-202-200002-200000000000000000−2i2i0−2i2i000-222-2-2200-20022-2-2-2220-220000-22000000000000000002i−2i02i−2i000
χ832-2-222-200200-2-22-2-22202-20000-22000000000000000002-20-22000-222-2-2200-20022-222-2-20-2200002-200000000000000000-2202-2000
χ842-2-222-200200-2-22-2-22202-20000-2200000000000000000-2202-2000-222-2-2200-20022-222-2-20-2200002-2000000000000000002-20-22000
χ852-2-22-222-2200-2-2222-2-20-220000-2200002-2002-2000000000000000-222-22-2-22-20022-2-2-22202-200002-20000-2200-22000000000000000
χ862-2-22-222-2200-2-22-2-2220-2200002-200002-200-22000000000000000-222-22-2-22-20022-222-2-202-20000-220000-22002-2000000000000000
χ872-2-22-22-22200-2-2222-2-20-220000-220000-2200-22000000000000000-222-22-22-2-20022-2-2-22202-200002-200002-2002-2000000000000000
χ882-2-22-22-22200-2-22-2-2220-2200002-20000-22002-2000000000000000-222-22-22-2-20022-222-2-202-20000-2200002-200-22000000000000000
χ8944444444-144-1-1-100004-1-1-1-1-1-1000000-1-1-1-100000000000000000-4-4-4-4-4-4-4-41-4-41110000-4111111000000111100000000000000000
χ9044444444-1-4-4-1-1-10000-4-1-11111000000-1-11100000000000000000-4-4-4-4-4-4-4-41441110000411-1-1-1-100000011-1-100000000000000000
χ91444444-4-4-144-1-1-10000-4-1-1-1-1-1-1000000111100000000000000000-4-4-4-4-4-4441-4-411100004111111000000-1-1-1-100000000000000000
χ92444444-4-4-1-4-4-1-1-100004-1-1111100000011-1-100000000000000000-4-4-4-4-4-4441441110000-411-1-1-1-1000000-1-11100000000000000000
χ934-44-40000400-44-44i−4i−4i4i0000000000000000000000000000000000-44-440000-4004-44−4i4i4i−4i0000000000000000000000000000000000
χ944-44-40000400-44-4−4i4i4i−4i0000000000000000000000000000000000-44-440000-4004-444i−4i−4i4i0000000000000000000000000000000000
χ954-4-44-444-4-10011-1000001-15−55−5000000-115−500000000000000000-444-44-4-44100-1-1100000-11−55−550000001-1−5500000000000000000
χ964-4-44-444-4-10011-1000001-1−55−55000000-11−5500000000000000000-444-44-4-44100-1-1100000-115−55−50000001-15−500000000000000000
χ974-4-44-44-44-10011-1000001-15−55−50000001-1−5500000000000000000-444-44-44-4100-1-1100000-11−55−55000000-115−500000000000000000
χ984-4-44-44-44-10011-1000001-1−55−550000001-15−500000000000000000-444-44-44-4100-1-1100000-115−55−5000000-11−5500000000000000000
χ998888-8-800-200-2-2-200000220000000000000000000000000000000-8-8-8-8880020022200000-2-20000000000000000000000000000000
χ10088-8-80000-24i2−4i2-2220000000−i2−i2i2i2000000000000000000000000000-8-88800002−4i24i22-2-20000000i2i2−i2−i2000000000000000000000000000
χ10188-8-80000-2−4i24i2-2220000000i2i2−i2−i2000000000000000000000000000-8-888000024i2−4i22-2-20000000−i2−i2i2i2000000000000000000000000000
χ1028-88-80000-2002-220000000i10−i10−i10i10000000000000000000000000000-88-880000200-22-20000000−i10i10i10−i10000000000000000000000000000
χ1038-88-80000-2002-220000000−i10i10i10−i10000000000000000000000000000-88-880000200-22-20000000i10−i10−i10i10000000000000000000000000000
χ1048-8-888-800-20022-200000-220000000000000000000000000000000-888-8-8800200-2-22000002-20000000000000000000000000000000

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