Finite Group Databasebeta

← Group #14286517

Character table — Group #14286517

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444444444445555888888888888888888888881010101010101616161616161616161616162020202020202020202030303030404040404060606060606060606060120120
order122234466644588101010121215152424242430303030303044444121212122020404040406060606012012012012012012012012044121212122020202060606060606060602288121224242424888826666888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1i−iii−i−iii−i−ii−i
χ411111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1−ii−i−iii−i−iii−ii
χ51111111111111-1-11111111-1-1-1-11111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-11111-111-1-1111111-1-1-1-1-1-1
χ61111111111111-1-11111111-1-1-1-11111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111ii−i−i1-1-111i−iii−i−i−i−iii−ii
χ81111111111111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111−i−iii1-1-111−ii−i−iiiii−i−ii−i
χ91111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11111-1-1
χ101111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1ii−i−i11111i−i−i−iiiii−i−i−ii
χ121111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1−i−iii11111−iiii−i−i−i−iiii−i
χ131111111111-1-11-1-11111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111
χ141111111111-1-11-1-11111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1
χ151111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111ii−i−i-111-1-1i−i−i−iii−i−iiii−i
χ161111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111−i−iii-111-1-1−iiii−i−iii−i−i−ii
χ1722222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000222200000-2-20000000000
χ1822222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000-2-2-2-200000220000000000
χ1922222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-200000000000000002200002i2i−2i−2i00000−2i2i0000000000
χ2022222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000220000−2i−2i2i2i000002i−2i0000000000
χ212222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100002-1-1-1-1000000000000
χ222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-21111110000-21111000000000000
χ232222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-12222-2-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-1111122-2-2-1-111110000-2-1-111000000000000
χ242222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-2-1-11122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-11111-2-22211-1-1-1-10000211-1-1000000000000
χ252222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-1-1-1-1-1-10000-21111000000000000
χ262222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-2-211111100002-1-1-1-1000000000000
χ272222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-12222211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2-1-111110000211-1-1000000000000
χ282222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2211-1-122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-1222211-1-1-1-10000-2-1-111000000000000
χ2922-2-222-22-2-22i−2i200-22-22-2220000-2-222-2-22i−2i2i−2i02i−2i00-220000-2-222000000002i−2i2i2i−2i−2i2i−2i002i2i−2i−2i00002-2002i−2i0000000002-200000000000000
χ3022-2-222-22-2-22i−2i200-22-22-2220000-2-222-2-2−2i2i−2i2i02i−2i00-220000-2-22200000000−2i2i−2i−2i2i2i2i−2i002i2i−2i−2i0000-2200−2i2i000000000-2200000000000000
χ3122-2-222-22-2-2−2i2i200-22-22-2220000-2-222-2-22i−2i2i−2i0−2i2i00-220000-2-222000000002i−2i2i2i−2i−2i−2i2i00−2i−2i2i2i0000-22002i−2i000000000-2200000000000000
χ3222-2-222-22-2-2−2i2i200-22-22-2220000-2-222-2-2−2i2i−2i2i0−2i2i00-220000-2-22200000000−2i2i−2i−2i2i2i−2i2i00−2i−2i2i2i00002-200−2i2i0000000002-200000000000000
χ3322-2-22-222-2-200200-22-2-22220000-2-222-2-22i−2i2i−2i000002-2000022-2-200000000−2i2i2i2i−2i−2i0000000000000000−2i2i000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ3422-2-22-222-2-200200-22-2-22220000-2-222-2-22i−2i2i−2i000002-2000022-2-200000000−2i2i2i2i−2i−2i0000000000000000−2i2i0000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000
χ3522-2-22-222-2-200200-22-2-22220000-2-222-2-2−2i2i−2i2i000002-2000022-2-2000000002i−2i−2i−2i2i2i00000000000000002i−2i0000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
χ3622-2-22-222-2-200200-22-2-22220000-2-222-2-2−2i2i−2i2i000002-2000022-2-2000000002i−2i−2i−2i2i2i00000000000000002i−2i000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ3722-2-2-12-2-1112i−2i200-22-2-11-1-1−i3−i3i3i311-1-1112i−2i2i−2i0−ii3−3-22000011-1-1−i3−i3−i3−i3i3i3i3i32i−2i−i−iii2i−2i00−i−iii33−3−32-200−ii33−3−300000-11−i3i3000000000000
χ3822-2-2-12-2-1112i−2i200-22-2-11-1-1−i3−i3i3i311-1-111−2i2i−2i2i0−ii3−3-22000011-1-1−i3−i3−i3−i3i3i3i3i3−2i2iii−i−i2i−2i00−i−iii33−3−3-2200i−i−3−333000001-1i3−i3000000000000
χ3922-2-2-12-2-1112i−2i200-22-2-11-1-1i3i3−i3−i311-1-1112i−2i2i−2i0−ii−33-22000011-1-1i3i3i3i3−i3−i3−i3−i32i−2i−i−iii2i−2i00−i−iii−3−3332-200−ii−3−33300000-11i3−i3000000000000
χ4022-2-2-12-2-1112i−2i200-22-2-11-1-1i3i3−i3−i311-1-111−2i2i−2i2i0−ii−33-22000011-1-1i3i3i3i3−i3−i3−i3−i3−2i2iii−i−i2i−2i00−i−iii−3−333-2200i−i33−3−3000001-1−i3i3000000000000
χ4122-2-2-12-2-111−2i2i200-22-2-11-1-1−i3−i3i3i311-1-1112i−2i2i−2i0i−i−33-22000011-1-1−i3−i3−i3−i3i3i3i3i32i−2i−i−iii−2i2i00ii−i−i−3−333-2200−ii33−3−3000001-1i3−i3000000000000
χ4222-2-2-12-2-111−2i2i200-22-2-11-1-1−i3−i3i3i311-1-111−2i2i−2i2i0i−i−33-22000011-1-1−i3−i3−i3−i3i3i3i3i3−2i2iii−i−i−2i2i00ii−i−i−3−3332-200i−i−3−33300000-11−i3i3000000000000
χ4322-2-2-12-2-111−2i2i200-22-2-11-1-1i3i3−i3−i311-1-1112i−2i2i−2i0i−i3−3-22000011-1-1i3i3i3i3−i3−i3−i3−i32i−2i−i−iii−2i2i00ii−i−i33−3−3-2200−ii−3−333000001-1−i3i3000000000000
χ4422-2-2-12-2-111−2i2i200-22-2-11-1-1i3i3−i3−i311-1-111−2i2i−2i2i0i−i3−3-22000011-1-1i3i3i3i3−i3−i3−i3−i3−2i2iii−i−i−2i2i00ii−i−i33−3−32-200i−i33−3−300000-11i3−i3000000000000
χ452-2-22200-2-220022−2-2-2200222−22−2-2-2-2-22222-2-2000000022−2−2000022−2−222−2−2002-22-2000000000000002−2002−22−22i−2i2i−2i00000000000−i2i2−i2i200
χ462-2-22200-2-220022−2-2-2200222−22−2-2-2-2-22222-2-2000000022−2−2000022−2−222−2−2002-22-2000000000000002−2002−22−2−2i2i−2i2i00000000000i2−i2i2−i200
χ472-2-22200-2-220022−2-2-2200222−22−2-2-2-2-222-2-222000000022−2−2000022−2−222−2−200-22-2200000000000000−2200−22−222-2-2200000000000−222−200
χ482-2-22200-2-220022−2-2-2200222−22−2-2-2-2-222-2-222000000022−2−2000022−2−222−2−200-22-2200000000000000−2200−22−22-222-2000000000002−2−2200
χ492-2-22200-2-22002−22-2-220022−22−22-2-2-2-22222-2-20000000−2−2220000−2−222−2−222002-22-200000000000000−2200−22−222i−2i2i−2i00000000000i2−i2i2−i200
χ502-2-22200-2-22002−22-2-220022−22−22-2-2-2-22222-2-20000000−2−2220000−2−222−2−222002-22-200000000000000−2200−22−22−2i2i−2i2i00000000000−i2i2−i2i200
χ512-2-22200-2-22002−22-2-220022−22−22-2-2-2-222-2-2220000000−2−2220000−2−222−2−22200-22-22000000000000002−2002−22−22-2-22000000000002−2−2200
χ522-2-22200-2-22002−22-2-220022−22−22-2-2-2-222-2-2220000000−2−2220000−2−222−2−22200-22-22000000000000002−2002−22−2-222-200000000000−222−200
χ53444444444444-144-1-1-144-1-14444-1-1-1-1-1-1000044444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000
χ54444444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-444-4-4-1-11111-1-1-1-111111111000000-1-111-1-1-1-111110000000000000000000000000000000
χ554444444444-4-4-144-1-1-144-1-14444-1-1-1-1-1-10000-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111111111110000000000000000000000000000000
χ564444444444-4-4-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-100004-4-444-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-10000000000000000000000000000000
χ574444-244-2-2-244-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i15200004-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000000000000
χ584444-244-2-2-244-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i15200004-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000000000000000000000000000000
χ594444-244-2-2-244-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i1520000-4-2-222-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000
χ604444-244-2-2-244-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000-4-2-222-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000
χ614444-244-2-2-2-4-4-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000
χ624444-244-2-2-2-4-4-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1520000-42222-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000
χ634444-244-2-2-2-4-4-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i1520000422-2-2-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i1520000000000000000000000000000000
χ644444-244-2-2-2-4-4-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000422-2-2-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i1520000000000000000000000000000000
χ654444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2444400000-4-40000222200000000-4-4-2-2-2-20000000000000000220000000000000000000000000
χ664444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2-4-4-4-400000-4-400002222000000004422220000000000000000-2-20000000000000000000000000
χ6744-4-444-44-4-44i−4i-1001-114-4-1-1000011-1-111000004i−4i001-1−55−5511-1-1−55−555−55−5000000−ii−i5i5−i−iii−i5i5i5−i50000000000000000000000000000000
χ6844-4-444-44-4-44i−4i-1001-114-4-1-1000011-1-111000004i−4i001-15−55−511-1-15−55−5−55−55000000−iii5−i5−i−iiii5−i5−i5i50000000000000000000000000000000
χ6944-4-444-44-4-4−4i4i-1001-114-4-1-1000011-1-11100000−4i4i001-1−55−5511-1-1−55−555−55−5000000i−ii5−i5ii−i−ii5−i5−i5i50000000000000000000000000000000
χ7044-4-444-44-4-4−4i4i-1001-114-4-1-1000011-1-11100000−4i4i001-15−55−511-1-15−55−5−55−55000000i−i−i5i5ii−i−i−i5i5i5−i50000000000000000000000000000000
χ7144-4-4-24-4-2224i−4i-1001-11-221−i1521+i152−2i3−2i32i32i3−1+i152−1−i1521−i1521+i152−1+i152−1−i15200000−2i2i23−231-15−55−5−1+i152−1−i1521−i1521+i152ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92000000−iii5−i5ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14−ζ22+ζ86−ζ118ζ38−ζ46+ζ62−ζ94−ζ14+ζ22−ζ86+ζ118−ζ38+ζ46−ζ62+ζ940000000000000000000000000000000
χ7244-4-4-24-4-2224i−4i-1001-11-221−i1521+i1522i32i3−2i3−2i3−1+i152−1−i1521−i1521+i152−1+i152−1−i15200000−2i2i−23231-1−55−55−1+i152−1−i1521−i1521+i152−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92000000−ii−i5i5ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94−ζ14+ζ22−ζ86+ζ118−ζ38+ζ46−ζ62+ζ94ζ14−ζ22+ζ86−ζ118ζ38−ζ46+ζ62−ζ940000000000000000000000000000000
χ7344-4-4-24-4-2224i−4i-1001-11-221+i1521−i152−2i3−2i32i32i3−1−i152−1+i1521+i1521−i152−1−i152−1+i15200000−2i2i23−231-1−55−55−1−i152−1+i1521+i1521−i152ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116000000−ii−i5i5ζ38+ζ46+ζ62+ζ94ζ14+ζ22+ζ86+ζ118−ζ38−ζ46−ζ62−ζ94−ζ14−ζ22−ζ86−ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ1180000000000000000000000000000000
χ7444-4-4-24-4-2224i−4i-1001-11-221+i1521−i1522i32i3−2i3−2i3−1−i152−1+i1521+i1521−i152−1−i152−1+i15200000−2i2i−23231-15−55−5−1−i152−1+i1521+i1521−i152−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116000000−iii5−i5ζ38+ζ46+ζ62+ζ94ζ14+ζ22+ζ86+ζ118−ζ38−ζ46−ζ62−ζ94−ζ14−ζ22−ζ86−ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ1180000000000000000000000000000000
χ7544-4-4-24-4-222−4i4i-1001-11-221−i1521+i152−2i3−2i32i32i3−1+i152−1−i1521−i1521+i152−1+i152−1−i152000002i−2i−23231-15−55−5−1+i152−1−i1521−i1521+i152ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92000000i−i−i5i5−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14+ζ22−ζ86+ζ118−ζ38+ζ46−ζ62+ζ94ζ14−ζ22+ζ86−ζ118ζ38−ζ46+ζ62−ζ940000000000000000000000000000000
χ7644-4-4-24-4-222−4i4i-1001-11-221−i1521+i1522i32i3−2i3−2i3−1+i152−1−i1521−i1521+i152−1+i152−1−i152000002i−2i23−231-1−55−55−1+i152−1−i1521−i1521+i152−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92000000i−ii5−i5−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94ζ14−ζ22+ζ86−ζ118ζ38−ζ46+ζ62−ζ94−ζ14+ζ22−ζ86+ζ118−ζ38+ζ46−ζ62+ζ940000000000000000000000000000000
χ7744-4-4-24-4-222−4i4i-1001-11-221+i1521−i152−2i3−2i32i32i3−1−i152−1+i1521+i1521−i152−1−i152−1+i152000002i−2i−23231-1−55−55−1−i152−1+i1521+i1521−i152ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116000000i−ii5−i5−ζ38−ζ46−ζ62−ζ94−ζ14−ζ22−ζ86−ζ118ζ38+ζ46+ζ62+ζ94ζ14+ζ22+ζ86+ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ1180000000000000000000000000000000
χ7844-4-4-24-4-222−4i4i-1001-11-221+i1521−i1522i32i3−2i3−2i3−1−i152−1+i1521+i1521−i152−1−i152−1+i152000002i−2i23−231-15−55−5−1−i152−1+i1521+i1521−i152−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116000000i−i−i5i5−ζ38−ζ46−ζ62−ζ94−ζ14−ζ22−ζ86−ζ118ζ38+ζ46+ζ62+ζ94ζ14+ζ22+ζ86+ζ118ζ38−ζ46+ζ62−ζ94ζ14−ζ22+ζ86−ζ118−ζ38+ζ46−ζ62+ζ94−ζ14+ζ22−ζ86+ζ1180000000000000000000000000000000
χ7944-4-4-2-44-22200400-44-42-2-2-2000022-2-2224i−4i4i−4i000004-40000-2-22200000000−4i4i−2i−2i2i2i00000000000000002i−2i0000000000000000000000000
χ8044-4-4-2-44-22200400-44-42-2-2-2000022-2-222−4i4i−4i4i000004-40000-2-222000000004i−4i2i2i−2i−2i0000000000000000−2i2i0000000000000000000000000
χ814-44-4400-44-4004004-4-40044000044-4-4-4-44i−4i−4i4i00000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000
χ824-44-4400-44-4004004-4-40044000044-4-4-4-4−4i4i4i−4i0000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ834-44-4-2002-22004004-4-400-2-2−i6i6i6−i6-2-222224i−4i−4i4i000000000000000−i6−i6i6i6i6i6−i6−i600−2i2i2i−2i0000000000000000006−6−66000000000000000000000
χ844-44-4-2002-22004004-4-400-2-2−i6i6i6−i6-2-22222−4i4i4i−4i000000000000000−i6−i6i6i6i6i6−i6−i6002i−2i−2i2i000000000000000000−666−6000000000000000000000
χ854-44-4-2002-22004004-4-400-2-2i6−i6−i6i6-2-222224i−4i−4i4i000000000000000i6i6−i6−i6−i6−i6i6i600−2i2i2i−2i000000000000000000−666−6000000000000000000000
χ864-44-4-2002-22004004-4-400-2-2i6−i6−i6i6-2-22222−4i4i4i−4i000000000000000i6i6−i6−i6−i6−i6i6i6002i−2i−2i2i0000000000000000006−6−66000000000000000000000
χ874-4-44-20022-200422−22-4-4400-2-2−22−222222-2-244-4-400000002222−22−220000−2−222−2−22200-22-220000000000000022−2200−22−22000000000000000000000
χ884-4-44-20022-200422−22-4-4400-2-2−22−222222-2-2-4-44400000002222−22−220000−2−222−2−222002-22-200000000000000−2222002−22−2000000000000000000000
χ894-4-44-20022-2004−2222-4-4400-2-22−22−22222-2-244-4-40000000−22−222222000022−2−222−2−200-22-2200000000000000−2222002−22−2000000000000000000000
χ904-4-44-20022-2004−2222-4-4400-2-22−22−22222-2-2-4-4440000000−22−222222000022−2−222−2−2002-22-20000000000000022−2200−22−22000000000000000000000
χ9188888-8-888800-200-2-2-2-8-8-2-20000-2-2-2-2-2-20000000002200002222000000000000000000000000000000000000000000000000000000000
χ928888-4-8-8-4-4-400-200-2-2-2441−i151+i1500001−i151+i151−i151+i151−i151+i15000000000220000−1+i15−1−i15−1+i15−1−i15000000000000000000000000000000000000000000000000000000000
χ938888-4-8-8-4-4-400-200-2-2-2441+i151−i1500001+i151−i151+i151−i151+i151−i15000000000220000−1−i15−1+i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000
χ9488-8-88-888-8-800-2002-22-88-2-2000022-2-222000000000-220000-2-222000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-88-44400-2002-224-41−i151+i150000−1+i15−1−i151−i151+i15−1+i15−1−i15000000000-2200001−i151+i15−1+i15−1−i15000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-88-44400-2002-224-41+i151−i150000−1−i15−1+i151+i151−i15−1−i15−1+i15000000000-2200001+i151−i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000
χ978-88-8800-88-800-200-22200-2-20000-2-222220000000000010−10−1010000010−10−1010−101010−100000000000000000000000000000000000000000000000000
χ988-88-8800-88-800-200-22200-2-20000-2-2222200000000000−101010−100000−101010−1010−10−10100000000000000000000000000000000000000000000000000
χ998-88-8-4004-4400-200-222001−i151+i15−2i62i62i6−2i61−i151+i15−1+i15−1−i15−1+i15−1−i150000000000010−10−10100000−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ1090000000000000000000000000000000000000000000000000
χ1008-88-8-4004-4400-200-222001−i151+i152i6−2i6−2i62i61−i151+i15−1+i15−1−i15−1+i15−1−i1500000000000−101010−100000ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ1090000000000000000000000000000000000000000000000000
χ1018-88-8-4004-4400-200-222001+i151−i15−2i62i62i6−2i61+i151−i15−1−i15−1+i15−1−i15−1+i1500000000000−101010−100000ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ1190000000000000000000000000000000000000000000000000
χ1028-88-8-4004-4400-200-222001+i151−i152i6−2i6−2i62i61+i151−i15−1−i15−1+i15−1−i15−1+i150000000000010−10−10100000−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ1190000000000000000000000000000000000000000000000000
χ1038-8-88800-8-8800-242−4222-200-2-242−4242−422222-2-200000000000−2−2220000−2−222−2−2220000000000000000000000000000000000000000000000000
χ1048-8-88800-8-8800-2−424222-200-2-2−4242−42422222-2-20000000000022−2−2000022−2−222−2−20000000000000000000000000000000000000000000000000
χ1058-8-88-40044-400-242−4222-2001−i151+i15−2222−2222−1+i15−1−i15−1+i15−1−i151−i151+i1500000000000−2−2220000ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ1090000000000000000000000000000000000000000000000000
χ1068-8-88-40044-400-242−4222-2001+i151−i15−2222−2222−1−i15−1+i15−1−i15−1+i151+i151−i1500000000000−2−2220000ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ1190000000000000000000000000000000000000000000000000
χ1078-8-88-40044-400-2−424222-2001−i151+i1522−2222−22−1+i15−1−i15−1+i15−1−i151−i151+i150000000000022−2−20000−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ1090000000000000000000000000000000000000000000000000
χ1088-8-88-40044-400-2−424222-2001+i151−i1522−2222−22−1−i15−1+i15−1−i15−1+i151+i151−i150000000000022−2−20000−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ1190000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.