Finite Group Databasebeta

← Group #14277920

Character table — Group #14277920

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444444444444444448888888888888888888888881010101010101010101010101616161616161616161616162020202020204040404040406060606060606060120120120120
order1244234612125688101215152020242424243030606060602466101212203030404040406060120120120120120120120120444488882424242410102020303030306060606012121212242488242424248888888816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ911-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-11-111-1-1-11-1-111-1-1111111-1-1-1-1ii−i−ii−ii−iii−i−i11-1-11111-1-1-1-1ii−i−ii−ii−iii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ1011-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-11-111-1-1-11-1-111-1-1111111-1-1-1-1ii−i−ii−ii−iii−i−i11-1-11111-1-1-1-1ii−i−ii−ii−iii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ1111-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-11-111-1-1-11-1-111-1-1111111-1-1-1-1−i−iii−ii−ii−i−iii11-1-11111-1-1-1-1−i−iii−ii−ii−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ1211-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-11-111-1-1-11-1-111-1-1111111-1-1-1-1−i−iii−ii−ii−i−iii11-1-11111-1-1-1-1−i−iii−ii−ii−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
χ1311-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-11-1-1-1111-1-111-1-1111111-1-1-1-1ii−i−ii−ii−iii−i−i-1-111-1-1-1-11111ii−i−ii−i−ii−i−iiiζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+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+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ1411-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-11-1-1-1111-1-111-1-1111111-1-1-1-1ii−i−ii−ii−iii−i−i-1-111-1-1-1-11111ii−i−ii−i−ii−i−iii−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−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−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ1511-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-11-1-1-1111-1-111-1-1111111-1-1-1-1−i−iii−ii−ii−i−iii-1-111-1-1-1-11111−i−iii−iii−iii−i−i−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−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−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
χ1611-1-1-1111-1-11-11-11111-1-111-1-111-1-1-1-1-11-1-1-1111-1-111-1-1111111-1-1-1-1−i−iii−ii−ii−i−iii-1-111-1-1-1-11111−i−iii−iii−iii−i−iζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+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+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ17222222222222-2-2222222-2-2-2-22222220000200222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000002222-2-2000000000000000000
χ18222222222222-2-2222222-2-2-2-22222220000200222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000-2-2-2-222000000000000000000
χ1922222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ2022222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211112222-1-1-1-1-1-1-1-1111111-2-21111000000000000
χ2122222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-2-21111000000000000
χ2222222-12-1-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-2-21111111111111122-1-1-1-1000000000000
χ2322222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-100−i3i32−i3i32-1-1-2-2-2-2-1-1111111112222-2-2-2-211110000−i3−i3i3i3−i3−i3i3i3-1-1-1-11100−i3i3−i3i3000000000000
χ2422222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-100−i3i32−i3i32-1-1-2-2-2-2-1-111111111-2-2-2-22222-1-1-1-10000−i3−i3i3i3−i3−i3i3i31111-1-100i3−i3i3−i3000000000000
χ2522222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-100i3−i32i3−i32-1-1-2-2-2-2-1-1111111112222-2-2-2-211110000i3i3−i3−i3i3i3−i3−i3-1-1-1-11100i3−i3i3−i3000000000000
χ2622222-12-1-1-12-1-2-22-1-1-1221111-1-1-1-1-1-100i3−i32i3−i32-1-1-2-2-2-2-1-111111111-2-2-2-22222-1-1-1-10000i3i3−i3−i3i3i3−i3−i31111-1-100−i3i3−i3i3000000000000
χ272222-22-22222-2002-2222200002222220000-200-2-2-20000-2-200000000000022-2-222220000000000000000-2-2000000−i2i2−i2i2−i2i2−i2i20000
χ282222-22-22222-2002-2222200002222220000-200-2-2-20000-2-200000000000022-2-222220000000000000000-2-2000000i2−i2i2−i2i2−i2i2−i20000
χ292222-22-22222-2002-2222200002222220000-200-2-2-20000-2-2000000000000-2-222-2-2-2-20000000000000000220000002−22−2−22−220000
χ302222-22-22222-2002-2222200002222220000-200-2-2-20000-2-2000000000000-2-222-2-2-2-2000000000000000022000000−22−222−22−20000
χ3122-2-222-22-2-222002-222-2-2000022-2-2-2-20000200-2220000-2-20000000000002i−2i−2i2i2i2i−2i−2i0000000000000000−2i2i0000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000
χ3222-2-222-22-2-222002-222-2-2000022-2-2-2-20000200-2220000-2-20000000000002i−2i−2i2i2i2i−2i−2i0000000000000000−2i2i000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000
χ3322-2-222-22-2-222002-222-2-2000022-2-2-2-20000200-2220000-2-2000000000000−2i2i2i−2i−2i−2i2i2i00000000000000002i−2i0000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000
χ3422-2-222-22-2-222002-222-2-2000022-2-2-2-20000200-2220000-2-2000000000000−2i2i2i−2i−2i−2i2i2i00000000000000002i−2i000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000
χ3522-2-2-2222-2-22-2-222222-2-2-2-22222-2-2-2-20000-2002-2-2-2-22222-2-2-2-222222i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000002i2i−2i−2i−2i2i000000000000000000
χ3622-2-2-2222-2-22-2-222222-2-2-2-22222-2-2-2-20000-2002-2-2-2-22222-2-2-2-22222−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i000000000000−2i−2i2i2i2i−2i000000000000000000
χ3722-2-2-2-12-111212-22-1-1-1-2-2-1-111-1-111112-2-1-1-21121122-2-2-1-1-1-1-1-111112i2i−2i−2i2i−2i2i−2i−i−iii22-2-2-1-1-1-11111−i−iii−ii2i−2i−i−iii000000000000
χ3822-2-2-2-12-111212-22-1-1-1-2-2-1-111-1-111112-2-1-1-21121122-2-2-1-1-1-1-1-11111−2i−2i2i2i−2i2i−2i2iii−i−i22-2-2-1-1-1-11111ii−i−ii−i−2i2iii−i−i000000000000
χ3922-2-2-2-12-111212-22-1-1-1-2-2-1-111-1-11111-2211-2-1-121122-2-2-1-1-1-1-1-111112i2i−2i−2i2i−2i2i−2i−i−iii-2-2221111-1-1-1-1−i−iii−ii−2i2iii−i−i000000000000
χ4022-2-2-2-12-111212-22-1-1-1-2-2-1-111-1-11111-2211-2-1-121122-2-2-1-1-1-1-1-11111−2i−2i2i2i−2i2i−2i2iii−i−i-2-2221111-1-1-1-1ii−i−ii−i2i−2i−i−iii000000000000
χ4122-2-2-2-12-11121-222-1-1-1-2-211-1-1-1-1111100−i3i3-2i3−i3211-2-222-1-11111-1-1-1-12i2i−2i−2i−2i2i−2i2iii−i−i0000−i3−i3i3i3i3i3−i3−i3−i−iiii−i003−3−33000000000000
χ4222-2-2-2-12-11121-222-1-1-1-2-211-1-1-1-1111100−i3i3-2i3−i3211-2-222-1-11111-1-1-1-1−2i−2i2i2i2i−2i2i−2i−i−iii0000−i3−i3i3i3i3i3−i3−i3ii−i−i−ii00−333−3000000000000
χ4322-2-2-2-12-11121-222-1-1-1-2-211-1-1-1-1111100i3−i3-2−i3i3211-2-222-1-11111-1-1-1-12i2i−2i−2i−2i2i−2i2iii−i−i0000i3i3−i3−i3−i3−i3i3i3−i−iiii−i00−333−3000000000000
χ4422-2-2-2-12-11121-222-1-1-1-2-211-1-1-1-1111100i3−i3-2−i3i3211-2-222-1-11111-1-1-1-1−2i−2i2i2i2i−2i2i−2i−i−iii0000i3i3−i3−i3−i3−i3i3i3ii−i−i−ii003−3−33000000000000
χ454444444444-1444-14-1-1-1-14444-1-1-1-1-1-14444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ464444444444-1444-14-1-1-1-14444-1-1-1-1-1-1-4-4-4-4-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000000000
χ474444444444-14-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-100-1-1-11111-1-111111111000000000000−55−55−55−55−55−55000000000000000000000000
χ484444444444-14-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-100-1-1-11111-1-1111111110000000000005−55−55−55−55−55−5000000000000000000000000
χ4944444-24-2-2-2-1-244-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i15244-2-2-1-2-2-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i152000000000000000000000000
χ5044444-24-2-2-2-1-244-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i152-4-422-122-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000000000001111−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152000000000000000000000000
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χ1008-8−8i8i0-4044i−4i-2000201−i151+i152i−2i2i6−2i626−26−1+i15−1−i15−2ζ14−2ζ22−2ζ86−2ζ1182ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ38+2ζ46+2ζ62+2ζ940000000000−1010i10−i1000ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ7−ζ13+ζ29−ζ37+ζ71+ζ101−ζ103+ζ119ζ7+ζ13−ζ29+ζ37−ζ71−ζ101+ζ103−ζ119ζ23−ζ31+ζ47+ζ53−ζ61+ζ77−ζ79−ζ109−ζ23+ζ31−ζ47−ζ53+ζ61−ζ77+ζ79+ζ109000000000000000000000000000000000000000000000000
χ1018-8−8i8i0-4044i−4i-2000201+i151−i152i−2i−2i62i6−2626−1−i15−1+i15−2ζ38−2ζ46−2ζ62−2ζ942ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ14+2ζ22+2ζ86+2ζ1180000000000−1010i10−i1000ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ23+ζ31−ζ47−ζ53+ζ61−ζ77+ζ79+ζ109ζ23−ζ31+ζ47+ζ53−ζ61+ζ77−ζ79−ζ109ζ7+ζ13−ζ29+ζ37−ζ71−ζ101+ζ103−ζ119−ζ7−ζ13+ζ29−ζ37+ζ71+ζ101−ζ103+ζ119000000000000000000000000000000000000000000000000
χ1028-8−8i8i0-4044i−4i-2000201+i151−i152i−2i2i6−2i626−26−1−i15−1+i15−2ζ38−2ζ46−2ζ62−2ζ942ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ14+2ζ22+2ζ86+2ζ118000000000010−10−i10i1000−ζ23+ζ31−ζ47+ζ53−ζ61+ζ77+ζ79−ζ109ζ23−ζ31+ζ47−ζ53+ζ61−ζ77−ζ79+ζ109ζ7−ζ13+ζ29−ζ37−ζ71+ζ101+ζ103−ζ119−ζ7+ζ13−ζ29+ζ37+ζ71−ζ101−ζ103+ζ119ζ23−ζ31+ζ47+ζ53−ζ61+ζ77−ζ79−ζ109−ζ23+ζ31−ζ47−ζ53+ζ61−ζ77+ζ79+ζ109−ζ7−ζ13+ζ29−ζ37+ζ71+ζ101−ζ103+ζ119ζ7+ζ13−ζ29+ζ37−ζ71−ζ101+ζ103−ζ119000000000000000000000000000000000000000000000000

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