Finite Group Databasebeta

← Group #14287226

Character table — Group #14287226

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
χ2922-2-222-22-2-2002-22-22-22i−2i2i−2i002-22-2-222i−2i2i−2i2i−2i00002-200000000002i−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
χ3022-2-222-22-2-2002-22-22-22i−2i2i−2i002-22-2-222i−2i2i−2i2i−2i00002-200000000002i−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
χ3122-2-222-22-2-2002-22-22-2−2i2i−2i2i002-22-2-22−2i2i−2i2i−2i2i00002-20000000000−2i2i0000000000000000000000000000002ζ7+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
χ3222-2-222-22-2-2002-22-22-2−2i2i−2i2i002-22-2-22−2i2i−2i2i−2i2i00002-20000000000−2i2i000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11902ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090
χ3322-2-22-222-2-22-22-22-2-222i−2i2i−2i2-222-2-2-22−2i2i2i−2i2i−2i002-2-2222-2-22i−2i0000−2i2i00000000000000000002i−2i000000000000000
χ3422-2-22-222-2-22-22-22-2-22−2i2i−2i2i2-222-2-2-222i−2i−2i2i−2i2i002-2-2222-2-2−2i2i00002i−2i0000000000000000000−2i2i000000000000000
χ3522-2-22-222-2-2-222-22-2-222i−2i2i−2i-2222-2-2-22−2i2i2i−2i2i−2i00-22-22-2-222−2i2i0000−2i2i0000000000000000000−2i2i000000000000000
χ3622-2-22-222-2-2-222-22-2-22−2i2i−2i2i-2222-2-2-222i−2i−2i2i−2i2i00-22-22-2-2222i−2i00002i−2i00000000000000000002i−2i000000000000000
χ3722-2-2-1-22-1112-22-22-21-12i−2i2i−2i-11-12-211-1−2i2i−ii−ii002-21-1-1-1112i−2i0000i−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−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+ζ11900000000000−iiζ13−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
χ3822-2-2-1-22-1112-22-22-21-12i−2i2i−2i-11-12-211-1−2i2i−ii−ii002-21-1-1-1112i−2i0000i−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+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−ζ11900000000000−ii−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
χ3922-2-2-1-22-1112-22-22-21-1−2i2i−2i2i-11-12-211-12i−2ii−ii−i002-21-1-1-111−2i2i0000−iiζ7−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+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000i−iζ7−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
χ4022-2-2-1-22-1112-22-22-21-1−2i2i−2i2i-11-12-211-12i−2ii−ii−i002-21-1-1-111−2i2i0000−ii−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−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000i−i−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
χ4122-2-2-1-22-111-222-22-21-12i−2i2i−2i1-1-12-211-1−2i2i−ii−ii00-221-111-1-1−2i2i0000i−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−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+ζ11900000000000i−i−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
χ4222-2-2-1-22-111-222-22-21-12i−2i2i−2i1-1-12-211-1−2i2i−ii−ii00-221-111-1-1−2i2i0000i−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+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−ζ11900000000000i−iζ13−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
χ4322-2-2-1-22-111-222-22-21-1−2i2i−2i2i1-1-12-211-12i−2ii−ii−i00-221-111-1-12i−2i0000−iiζ7−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+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000−ii−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
χ4422-2-2-1-22-111-222-22-21-1−2i2i−2i2i1-1-12-211-12i−2ii−ii−i00-221-111-1-12i−2i0000−ii−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−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000−iiζ7−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
χ452-2-22200-2-220022-2-2002i−2i−2i2i002002-2-2002i−2i−2i2i2−200000000001−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i022−2−2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000−i2i20000000
χ462-2-22200-2-220022-2-2002i−2i−2i2i002002-2-2002i−2i−2i2i2−20000000000−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i022−2−22ζ13+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−i2i20000000
χ472-2-22200-2-220022-2-2002i−2i−2i2i002002-2-2002i−2i−2i2i−2200000000001−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2−2222ζ13+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+2ζ1190000000000i2−i20000000
χ482-2-22200-2-220022-2-2002i−2i−2i2i002002-2-2002i−2i−2i2i−220000000000−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2−222−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000i2−i20000000
χ492-2-22200-2-220022-2-200−2i2i2i−2i002002-2-200−2i2i2i−2i2−200000000001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i022−2−22ζ7+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+2ζ1090000000000i2−i20000000
χ502-2-22200-2-220022-2-200−2i2i2i−2i002002-2-200−2i2i2i−2i2−20000000000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i022−2−2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000i2−i20000000
χ512-2-22200-2-220022-2-200−2i2i2i−2i002002-2-200−2i2i2i−2i−2200000000001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2−222−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000−i2i20000000
χ522-2-22200-2-220022-2-200−2i2i2i−2i002002-2-200−2i2i2i−2i−220000000000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0−2−2222ζ7+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−i2i20000000
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
χ5944-4-44-444-4-44-4-11-11-4400004-4-1-1111-100000000-111-1-1-11100000000000000000−i5i5−i5i5000000000000−i5i5000000000
χ6044-4-44-444-4-44-4-11-11-4400004-4-1-1111-100000000-111-1-1-11100000000000000000i5−i5i5−i5000000000000i5−i5000000000
χ6144-4-44-444-4-4-44-11-11-440000-44-1-1111-1000000001-11-111-1-100000000000000000−i5i5−i5i5000000000000i5−i5000000000
χ6244-4-44-444-4-4-44-11-11-440000-44-1-1111-1000000001-11-111-1-100000000000000000i5−i5i5−i5000000000000−i5i5000000000
χ6344-4-4-24-4-222004-44-4-224i−4i4i−4i00-2-4422-24i−4i−2i2i−2i2i0000-220000000000−2i2i000000000000000000000000000000000000
χ6444-4-4-24-4-222004-44-4-22−4i4i−4i4i00-2-4422-2−4i4i2i−2i2i−2i0000-2200000000002i−2i000000000000000000000000000000000000
χ654-44-4400-44-4004-4-440044-4-400400-44-40044-4-4000000000000000000000000000000000000000000000000000000
χ664-44-4400-44-4004-4-4400-4-44400400-44-400-4-444000000000000000000000000000000000000000000000000000000
χ674-44-4-2002-22004-4-440044-4-400-2002-2200-2-222000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ684-44-4-2002-22004-4-440044-4-400-2002-2200-2-222000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ694-44-4-2002-22004-4-4400-4-44400-2002-220022-2-20000000000000000006−6−666−6−660000000000000000000000000000
χ704-44-4-2002-22004-4-4400-4-44400-2002-220022-2-2000000000000000000−666−6−666−60000000000000000000000000000
χ714-4-44-20022-20044-4-4004i−4i−4i4i00-200-22200−2i2i2i−2i0000000000002−2i−2+2i2+2i−2−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000000000000000
χ724-4-44-20022-20044-4-4004i−4i−4i4i00-200-22200−2i2i2i−2i000000000000−2+2i2−2i−2−2i2+2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000000000000000
χ734-4-44-20022-20044-4-400−4i4i4i−4i00-200-222002i−2i−2i2i0000000000002+2i−2−2i2−2i−2+2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000000000000000
χ744-4-44-20022-20044-4-400−4i4i4i−4i00-200-222002i−2i−2i2i000000000000−2−2i2+2i−2+2i2−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000000000000000
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
χ8088-8-888-88-8-800-22-228-8000000-22-222-20000000000-22000000000000000000000000000000000000000000000000
χ8188-8-8-48-8-44400-22-22-4400000012-2-1-1100000000001-1−i15i15i15−i1500000000000000000000000000000000000000000000
χ8288-8-8-48-8-44400-22-22-4400000012-2-1-1100000000001-1i15−i15−i15i1500000000000000000000000000000000000000000000
χ8388-8-8-4-88-4448-8-22-224-40000-441-22-1-1100000000-22-1111-1-100000000000000000000000000000000000000000000
χ8488-8-8-4-88-444-88-22-224-400004-41-22-1-11000000002-2-11-1-11100000000000000000000000000000000000000000000
χ858-88-8800-88-800-222-200000000-2002-22000000000000000000000000000000000i10−i10−i10i1000000000000000000000000
χ868-88-8800-88-800-222-200000000-2002-22000000000000000000000000000000000−i10i10i10−i1000000000000000000000000
χ878-8-88800-8-8800-2-22200000000-200-22200000042−420000000000000000000000000−2−22200000000000000000000000
χ888-8-88800-8-8800-2-22200000000-200-222000000−4242000000000000000000000000022−2−200000000000000000000000
χ8916-1616-16-8008-8800-444-400000000200-22-2000000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-80088-800-4-444000000002002-2-2000000000000000000000000000000000000000000000000000000000000

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