Finite Group Databasebeta

← Group #14287234

Character table — Group #14287234

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444445555888888881010101010101212161616161616161620202020202020202020202020202020242424242430303030404040404040404048486060606060606060120
order12223446664451010101212444412121520203030304412121212882020606060606060448888121224242424242424244404040408888881212242424242020888888882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11
χ3111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1ii−i−i-1-1iiii−i−i−i−i11111ii−i−ii−i-1-1ii−i−i11-1-1iii−i−i−i-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1−i−iii-1-1−i−i−i−iiiii11111−i−iii−ii-1-1−i−iii11-1-1−i−i−iiii-1
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1−i−iiii−i-1-1ii−i−i-1-111−i−i−iiii1
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1ii−i−i−ii-1-1−i−iii-1-111iii−i−i−i1
χ91111111111-1-11111111111-1-111111111111111-1-111-1-1-1-1-1-111111111111111-111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1
χ101111111111-1-11111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-111-111-1
χ111111111111-1-11111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1111
χ121111111111-1-11111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1111111-1-11-1-11-1-11
χ131111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-11111ii−i−i−ii11−i−iii-1-1-1-1i−i−i−iii1
χ141111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii-11111−i−iiii−i11ii−i−i-1-1-1-1−iiii−i−i1
χ151111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1-1-1-1-1−i−iii−ii11−i−iii1111−iiii−i−i-1
χ161111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii1-1-1-1-1ii−i−ii−i11ii−i−i1111i−i−i−iii-1
χ1722222-2-2222002222-2-22222002-2-2222-2-222220000-2-20000000000-2-200000000000002222000000000000-200-2000
χ1822222-2-2222002222-2-22222002-2-2222-2-222220000-2-20000000000-2-20000000000000-2-2-2-20000000000002002000
χ1922222-2-2222002222-2-2-2-2-2-2002-2-222222-2-2-2-20000-2-200000000002200000000000002i2i−2i−2i000000000000−2i002i000
χ2022222-2-2222002222-2-2-2-2-2-2002-2-222222-2-2-2-20000-2-20000000000220000000000000−2i−2i2i2i0000000000002i00−2i000
χ212222-122-1-1-1222222-1-12222-1-1-122-1-1-122-1-1-1-10022-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-100000000022-1-1-1-1-1-100000000000
χ222222-122-1-1-1222222-1-12222-1-1-122-1-1-122-1-1-1-10022-1-1-1-1-1-122-2-2-2-2-1-111111111000000000-2-2-1-1111100000000000
χ232222-122-1-1-1222222-1-1-2-2-2-2-1-1-122-1-1-1-2-211110022-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii0000000002i−2i11−i−iii00000000000
χ242222-122-1-1-1222222-1-1-2-2-2-2-1-1-122-1-1-1-2-211110022-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i000000000−2i2i11ii−i−i00000000000
χ252222-122-1-1-1-2-22222-1-1222211-122-1-1-122-1-1-1-100-2-2-1-11111-2-22222-1-1-1-1-1-1-1-1-1-1000000000-2-211111100000000000
χ262222-122-1-1-1-2-22222-1-1222211-122-1-1-122-1-1-1-100-2-2-1-11111-2-2-2-2-2-2-1-1111111110000000002211-1-1-1-100000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-211-122-1-1-1-2-2111100-2-2-1-11111222i2i−2i−2i11−i−i−i−iiiii000000000−2i2i-1-1ii−i−i00000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-211-122-1-1-1-2-2111100-2-2-1-1111122−2i−2i2i2i11iiii−i−i−i−i0000000002i−2i-1-1−i−iii00000000000
χ2922-2-2200-22-2002-22-2002i−2i2i−2i00200-2-22002i−2i2i−2i−i2i200000000001+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0−i2−i2i2i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000002−20000000
χ3022-2-2200-22-2002-22-2002i−2i2i−2i00200-2-22002i−2i2i−2i−i2i20000000000−1−i1+i−1+i1−i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0−i2−i2i2i22ζ13+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+2ζ11900000000002−20000000
χ3122-2-2200-22-2002-22-2002i−2i2i−2i00200-2-22002i−2i2i−2ii2−i200000000001+i−1−i1−i−1+i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0i2i2−i2−i22ζ13+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+2ζ1190000000000−220000000
χ3222-2-2200-22-2002-22-2002i−2i2i−2i00200-2-22002i−2i2i−2ii2−i20000000000−1−i1+i−1+i1−i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0i2i2−i2−i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000−220000000
χ3322-2-2200-22-2002-22-200−2i2i−2i2i00200-2-2200−2i2i−2i2i−i2i200000000001−i−1+i1+i−1−i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0−i2−i2i2i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000−220000000
χ3422-2-2200-22-2002-22-200−2i2i−2i2i00200-2-2200−2i2i−2i2i−i2i20000000000−1+i1−i−1−i1+i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0−i2−i2i2i22ζ7+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+2ζ1090000000000−220000000
χ3522-2-2200-22-2002-22-200−2i2i−2i2i00200-2-2200−2i2i−2i2ii2−i200000000001−i−1+i1+i−1−i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0i2i2−i2−i22ζ7+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+2ζ10900000000002−20000000
χ3622-2-2200-22-2002-22-200−2i2i−2i2i00200-2-2200−2i2i−2i2ii2−i20000000000−1+i1−i−1−i1+i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0i2i2−i2−i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000002−20000000
χ372-22-222-2-2-222i−2i22-2-22-22i−2i−2i2i2i−2i2-22-22-22i−2i2i−2i−2i2i002i−2i2-22i2i−2i−2i2-200002i−2i00000000000000000002-2000000000000000
χ382-22-222-2-2-222i−2i22-2-22-2−2i2i2i−2i2i−2i2-22-22-2−2i2i−2i2i2i−2i002i−2i2-22i2i−2i−2i-220000−2i2i0000000000000000000-22000000000000000
χ392-22-222-2-2-22−2i2i22-2-22-22i−2i−2i2i−2i2i2-22-22-22i−2i2i−2i−2i2i00−2i2i2-2−2i−2i2i2i-2200002i−2i0000000000000000000-22000000000000000
χ402-22-222-2-2-22−2i2i22-2-22-2−2i2i2i−2i−2i2i2-22-22-2−2i2i−2i2i2i−2i00−2i2i2-2−2i−2i2i2i2-20000−2i2i00000000000000000002-2000000000000000
χ412-22-22-22-2-220022-2-2-222i−2i−2i2i0022-2-22-2−2i2i2i−2i−2i2i0000-220000000000−2i2i0000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090
χ422-22-22-22-2-220022-2-2-222i−2i−2i2i0022-2-22-2−2i2i2i−2i−2i2i0000-220000000000−2i2i000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11902ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090
χ432-22-22-22-2-220022-2-2-22−2i2i2i−2i0022-2-22-22i−2i−2i2i2i−2i0000-2200000000002i−2i000000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10902ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190
χ442-22-22-22-2-220022-2-2-22−2i2i2i−2i0022-2-22-22i−2i−2i2i2i−2i0000-2200000000002i−2i0000000000000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190
χ452-22-2-12-211-12i−2i22-2-2-112i−2i−2i2i−ii-1-221-112i−2i−iii−i002i−2i-11−i−iii2-20000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000-11ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000000
χ462-22-2-12-211-12i−2i22-2-2-112i−2i−2i2i−ii-1-221-112i−2i−iii−i002i−2i-11−i−iii2-20000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000-11−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000000
χ472-22-2-12-211-12i−2i22-2-2-11−2i2i2i−2i−ii-1-221-11−2i2ii−i−ii002i−2i-11−i−iii-220000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000000001-1−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000
χ482-22-2-12-211-12i−2i22-2-2-11−2i2i2i−2i−ii-1-221-11−2i2ii−i−ii002i−2i-11−i−iii-220000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000001-1ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000
χ492-22-2-12-211-1−2i2i22-2-2-112i−2i−2i2ii−i-1-221-112i−2i−iii−i00−2i2i-11ii−i−i-220000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000000001-1−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000000
χ502-22-2-12-211-1−2i2i22-2-2-112i−2i−2i2ii−i-1-221-112i−2i−iii−i00−2i2i-11ii−i−i-220000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000000001-1ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000000
χ512-22-2-12-211-1−2i2i22-2-2-11−2i2i2i−2ii−i-1-221-11−2i2ii−i−ii00−2i2i-11ii−i−i2-20000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000000-11ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000
χ522-22-2-12-211-1−2i2i22-2-2-11−2i2i2i−2ii−i-1-221-11−2i2ii−i−ii00−2i2i-11ii−i−i2-20000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000000-11−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000
χ53444444444444-1-1-1-144000044-1-1-1-1-1-100000044-1-1-1-1-1-1-1-100000000000000004-1-1-1-1000000000000-1-1000000000
χ54444444444444-1-1-1-144000044-1-1-1-1-1-1000000-4-4-1-1-1-1-1-1-1-10000000000000000-4111100000000000011000000000
χ554444444444-4-4-1-1-1-1440000-4-4-1-1-1-1-1-10000004411-1-111110000000000000000-4-1-1-1-100000000000011000000000
χ564444444444-4-4-1-1-1-1440000-4-4-1-1-1-1-1-1000000-4-411-1-11111000000000000000041111000000000000-1-1000000000
χ574444-2-4-4-2-2-200444422444400-2-4-4-2-2-2-4-4-2-2-2-2000022000000000022000000000000000000000000000000000000
χ584444-2-4-4-2-2-200444422-4-4-4-400-2-4-4-2-2-24422220000220000000000-2-2000000000000000000000000000000000000
χ5944-4-4-2002-22004-44-4004i−4i4i−4i00-20022-200−2i2i−2i2i0000000000002+2i−2−2i2−2i−2+2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000000000000000
χ6044-4-4-2002-22004-44-4004i−4i4i−4i00-20022-200−2i2i−2i2i000000000000−2−2i2+2i−2+2i2−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000000000
χ6144-4-4-2002-22004-44-400−4i4i−4i4i00-20022-2002i−2i2i−2i0000000000002−2i−2+2i2+2i−2−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000000000
χ6244-4-4-2002-22004-44-400−4i4i−4i4i00-20022-2002i−2i2i−2i000000000000−2+2i2−2i−2−2i2+2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000000000000000
χ634-44-444-4-4-444i−4i-1-1114-400004i−4i-11-11-1100000000−ii-11−i−iii00000000000000000−55−55000000000000−i5i5000000000
χ644-44-444-4-4-444i−4i-1-1114-400004i−4i-11-11-1100000000−ii-11−i−iii000000000000000005−55−5000000000000i5−i5000000000
χ654-44-444-4-4-44−4i4i-1-1114-40000−4i4i-11-11-1100000000i−i-11ii−i−i00000000000000000−55−55000000000000i5−i5000000000
χ664-44-444-4-4-44−4i4i-1-1114-40000−4i4i-11-11-1100000000i−i-11ii−i−i000000000000000005−55−5000000000000−i5i5000000000
χ674-44-4-2-4422-20044-4-42-24i−4i−4i4i00-24-42-22−4i4i−2i2i2i−2i00002-200000000002i−2i000000000000000000000000000000000000
χ684-44-4-2-4422-20044-4-42-2−4i4i4i−4i00-24-42-224i−4i2i−2i−2i2i00002-20000000000−2i2i000000000000000000000000000000000000
χ694-4-444004-4-4004-4-440044-4-4004004-4-40044-4-4000000000000000000000000000000000000000000000000000000
χ704-4-444004-4-4004-4-4400-4-444004004-4-400-4-444000000000000000000000000000000000000000000000000000000
χ714-4-44-200-222004-4-440044-4-400-200-22200-2-222000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ724-4-44-200-222004-4-440044-4-400-200-22200-2-222000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ734-4-44-200-222004-4-4400-4-44400-200-2220022-2-20000000000000000006−6−666−6−660000000000000000000000000000
χ744-4-44-200-222004-4-4400-4-44400-200-2220022-2-2000000000000000000−666−6−666−60000000000000000000000000000
χ7588888-8-888800-2-2-2-2-8-8000000-222-2-2-2000000000022000000000000000000000000000000000000000000000000
χ768888-488-4-4-488-2-2-2-2-4-40000-4-41-2-211100000000-2-211111100000000000000000000000000000000000000000000
χ778888-488-4-4-4-8-8-2-2-2-2-4-40000441-2-2111000000002211-1-1-1-100000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-400-2-2-2-2440000001221110000000000-1-1−i15i15−i15i1500000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-400-2-2-2-2440000001221110000000000-1-1i15−i15i15−i1500000000000000000000000000000000000000000000
χ8088-8-8800-88-800-22-2200000000-20022-2000000−4i24i20000000000000000000000000i2i2−i2−i200000000000000000000000
χ8188-8-8800-88-800-22-2200000000-20022-20000004i2−4i20000000000000000000000000−i2−i2i2i200000000000000000000000
χ828-88-88-88-8-8800-2-222-88000000-2-222-2200000000002-2000000000000000000000000000000000000000000000000
χ838-88-8-48-844-48i−8i-2-222-440000−4i4i12-2-11-100000000−2i2i1-1ii−i−i00000000000000000000000000000000000000000000
χ848-88-8-48-844-4−8i8i-2-222-4400004i−4i12-2-11-1000000002i−2i1-1−i−iii00000000000000000000000000000000000000000000
χ858-88-8-4-8844-400-2-2224-40000001-22-11-10000000000-11−151515−1500000000000000000000000000000000000000000000
χ868-88-8-4-8844-400-2-2224-40000001-22-11-10000000000-1115−15−151500000000000000000000000000000000000000000000
χ878-8-888008-8-800-222-200000000-200-222000000000000000000000000000000000i10−i10−i10i1000000000000000000000000
χ888-8-888008-8-800-222-200000000-200-222000000000000000000000000000000000−i10i10i10−i1000000000000000000000000
χ891616-16-16-8008-8800-44-4400000000200-2-22000000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-800-88800-444-4000000002002-2-2000000000000000000000000000000000000000000000000000000000000

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