Finite Group Databasebeta

← Group #11754113

Character table — Group #11754113

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444466666688888888888810101010121212121212121212161616162020202020202424242430304040606060
order12345568810104412151520202424303040404040241010101012122020202060601201201201202412124482020404040406060606022682424202020202466448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111-1-11111111111111111111-1-1-1-1-1-11111111111-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ611111111111-1-11111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1
χ711111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1
χ811111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11
χ91111111-1-1111-111111-1-111-1-1-1-11111111-111-1-111-1-1-1-111111-1-111-1-1-1-111-1-11-11-1-1-111-1-1111-11-1-1
χ101111111-1-1111-111111-1-111-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-11-111111-1-1-1-1-11-111
χ111111111-1-1111-111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-111-1-1111111-1-11-11-1-1-1-1-111-1-11-1-111
χ121111111-1-1111-111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1111-1-11111-111-1-1
χ131111111-1-111-1111111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-11-111-1-1-1-1-1-111-111-1-1-1-1-11111-11-11-1
χ141111111-1-111-1111111-1-111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111-1-1111-1-111-1-11-11-11
χ151111111-1-111-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111-11-1-11111-1-111-111-1-1-111-1-1-1-1-111-11
χ161111111-1-111-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-11-1-11111-1-1111-1-111111-1-1111-1-11-1
χ172222−1−52−1+52222−1−52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+520000000
χ182222−1−52−1+52222−1−52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+520000001+521−521+521−520000000
χ192222−1−52−1+52222−1−52−1+52-2-22−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520000-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000001+521−521+521−520000000
χ202222−1−52−1+52222−1−52−1+52-2-22−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−52-2-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52000022-21+521−521+521+521−521−521+521−521+521−52000000−1−52−1+52−1−52−1+520000000
χ212222−1−52−1+522-2-2−1−52−1+522-22−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−5222−1−52−1−52−1+52−1+522-2−1−52−1+521+521−52−1−52−1+521+521+521−521−5200002-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−52000000−1−52−1+521+521−520000000
χ222222−1−52−1+522-2-2−1−52−1+522-22−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52-2-21+521+521−521−522-2−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-2221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000001+521−52−1−52−1+520000000
χ232222−1−52−1+522-2-2−1−52−1+52-222−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−5222−1−52−1−52−1+52−1+52-221+521−52−1−52−1+52−1−52−1+521+521+521−521−520000-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+520000001+521−52−1−52−1+520000000
χ242222−1−52−1+522-2-2−1−52−1+52-222−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52-2-21+521+521−521−52-221+521−52−1−52−1+52−1−52−1+521+521+521−521−5200002-221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52000000−1−52−1+521+521−520000000
χ252222−1+52−1−52222−1+52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−520000000
χ262222−1+52−1−52222−1+52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1−520000001−521+521−521+520000000
χ272222−1+52−1−52222−1+52−1−52-2-22−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520000-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000001−521+521−521+520000000
χ282222−1+52−1−52222−1+52−1−52-2-22−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+52-2-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52000022-21−521+521−521−521+521+521−521+521−521+52000000−1+52−1−52−1+52−1−520000000
χ292222−1+52−1−522-2-2−1+52−1−522-22−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+5222−1+52−1+52−1−52−1−522-2−1+52−1−521−521+52−1+52−1−521−521−521+521+5200002-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+52000000−1+52−1−521−521+520000000
χ302222−1+52−1−522-2-2−1+52−1−522-22−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52-2-21−521−521+521+522-2−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-2221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+520000001−521+52−1+52−1−520000000
χ312222−1+52−1−522-2-2−1+52−1−52-222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+5222−1+52−1+52−1−52−1−52-221−521+52−1+52−1−52−1+52−1−521−521−521+521+520000-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−520000001−521+52−1+52−1−520000000
χ322222−1+52−1−522-2-2−1+52−1−52-222−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52-2-21−521−521+521+52-221−521+52−1+52−1−52−1+52−1−521−521−521+521+5200002-221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52000000−1+52−1−521−521+520000000
χ33222-2222002200-222-2-2002200002-22222000000-2-200002-2-2-2000-2-2000000000020000000-2200000
χ34222-2222002200-222-2-2002200002-22222000000-2-20000-2222000-2-20000000000-200000002-200000
χ35222-2222002200-222-2-200220000-22-2-2-2-2000000-2-200002-2-2-2000220000000000200000002-200000
χ36222-2222002200-222-2-200220000-22-2-2-2-2000000-2-20000-2222000220000000000-20000000-2200000
χ3722-1222-1222222-1-1-122-1-1-1-12222000000-1-12222-1-1-1-1-1-122-1-1000000000-1-1-1-122-12-1-1000000-1-1000
χ3822-1222-1222222-1-1-122-1-1-1-12222000000-1-12222-1-1-1-1-1-1-2-211000000000-1-1-1-1-2-21-21100000011000
χ3922-1222-12222-2-2-1-1-122-1-1-1-1222200000011-2-2-2-2-1-1-1-1-1-122-1-10000000001111-2-2-12-1-100000011000
χ4022-1222-12222-2-2-1-1-122-1-1-1-1222200000011-2-2-2-2-1-1-1-1-1-1-2-2110000000001111221-211000000-1-1000
χ4122-1222-1-2-2222-2-1-1-12211-1-1-2-2-2-2000000-1122-2-2-1-1111122-1-1000000000-1-1112-2-1-211000000-11000
χ4222-1222-1-2-2222-2-1-1-12211-1-1-2-2-2-2000000-1122-2-2-1-11111-2-211000000000-1-111-2212-1-10000001-1000
χ4322-1222-1-2-222-22-1-1-12211-1-1-2-2-2-20000001-1-2-222-1-1111122-1-100000000011-1-1-22-1-2110000001-1000
χ4422-1222-1-2-222-22-1-1-12211-1-1-2-2-2-20000001-1-2-222-1-11111-2-21100000000011-1-12-212-1-1000000-11000
χ45444-4−1−5−1+5400−1−5−1+500-4−1−5−1+51+51−500−1−5−1+500004-4−1−5−1−5−1+5−1+50000001+51−5000000000001+51−50000000000000000000000000
χ46444-4−1−5−1+5400−1−5−1+500-4−1−5−1+51+51−500−1−5−1+50000-441+51+51−51−50000001+51−500000000000−1−5−1+50000000000000000000000000
χ47444-4−1+5−1−5400−1+5−1−500-4−1+5−1−51−51+500−1+5−1−500004-4−1+5−1+5−1−5−1−50000001−51+5000000000001−51+50000000000000000000000000
χ48444-4−1+5−1−5400−1+5−1−500-4−1+5−1−51−51+500−1+5−1−50000-441−51−51+51+50000001−51+500000000000−1+5−1−50000000000000000000000000
χ4944-24−1−5−1+5-244−1−5−1+544-21+521−52−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+5000000-2-2−1−5−1+5−1−5−1+51+521−521+521+521−521−5200000000000001+521−521+521−5200000000000000000
χ5044-24−1−5−1+5-244−1−5−1+5-4-4-21+521−52−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+5000000221+51−51+51−51+521−521+521+521−521−520000000000000−1−52−1+52−1−52−1+5200000000000000000
χ5144-24−1−5−1+5-2-4-4−1−5−1+54-4-21+521−52−1−5−1+5221+521−521+51+51−51−5000000-22−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+5200000000000001+521−52−1−52−1+5200000000000000000
χ5244-24−1−5−1+5-2-4-4−1−5−1+5-44-21+521−52−1−5−1+5221+521−521+51+51−51−50000002-21+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+520000000000000−1−52−1+521+521−5200000000000000000
χ5344-24−1+5−1−5-244−1+5−1−544-21−521+52−1+5−1−5-2-21−521+52−1+5−1+5−1−5−1−5000000-2-2−1+5−1−5−1+5−1−51−521+521−521−521+521+5200000000000001−521+521−521+5200000000000000000
χ5444-24−1+5−1−5-244−1+5−1−5-4-4-21−521+52−1+5−1−5-2-21−521+52−1+5−1+5−1−5−1−5000000221−51+51−51+51−521+521−521−521+521+520000000000000−1+52−1−52−1+52−1−5200000000000000000
χ5544-24−1+5−1−5-2-4-4−1+5−1−54-4-21−521+52−1+5−1−5221−521+521−51−51+51+5000000-22−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−5200000000000001−521+52−1+52−1−5200000000000000000
χ5644-24−1+5−1−5-2-4-4−1+5−1−5-44-21−521+52−1+5−1−5221−521+521−51−51+51+50000002-21−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−520000000000000−1+52−1−521−521+5200000000000000000
χ5744-2-444-20044002-2-2-4-400-2-200000000000000002200004-422000000000000000-200000000000000
χ5844-2-444-20044002-2-2-4-400-2-20000000000000000220000-44-2-2000000000000000200000000000000
χ594-44044-422−22-4-4000440022−22-4-422−2222−220000000000000022−2222−220000000000000000000000000000000000
χ604-44044-4−2222-4-40004400−2222-4-4−2222−222200000000000000−2222−22220000000000000000000000000000000000
χ614-440−1−5−1+5-422−221+51−5000−1−5−1+50022−221+51−5−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11600000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119000000000000000000000
χ624-440−1−5−1+5-422−221+51−5000−1−5−1+50022−221+51−5−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119000000000000000000000
χ634-440−1−5−1+5-4−22221+51−5000−1−5−1+500−22221+51−5ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11600000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119000000000000000000000
χ644-440−1−5−1+5-4−22221+51−5000−1−5−1+500−22221+51−5ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119000000000000000000000
χ654-440−1+5−1−5-422−221−51+5000−1+5−1−50022−221−51+5ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000000000000000
χ664-440−1+5−1−5-422−221−51+5000−1+5−1−50022−221−51+5ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ9200000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000000000000000
χ674-440−1+5−1−5-4−22221−51+5000−1+5−1−500−22221−51+5−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000000000000000
χ684-440−1+5−1−5-4−22221−51+5000−1+5−1−500−22221−51+5−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ9200000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000000000000000
χ694-4-2044222−22-4-4000-2-200−222222−2222−2200000000000000−22−220023−23000000000000000006−600000000000
χ704-4-2044222−22-4-4000-2-200−222222−2222−2200000000000000−22−2200−232300000000000000000−6600000000000
χ714-4-20442−2222-4-4000-2-2002−222−2222−2222000000000000002−22−20023−2300000000000000000−6600000000000
χ724-4-20442−2222-4-4000-2-2002−222−2222−2222000000000000002−22−200−2323000000000000000006−600000000000
χ7388-4-8−2−25−2+25-400−2−25−2+250041+51−52+252−25001+51−50000000000000000−1−5−1+500000000000000000000000000000000000000
χ7488-4-8−2+25−2−25-400−2+25−2−250041−51+52−252+25001−51+50000000000000000−1+5−1−500000000000000000000000000000000000000
χ758-8-40−2−25−2+25442−422+252−250001+51−500−2222−1−5−1+5−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ1032ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ11900000000000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ1190000000000000000000000000000000000
χ768-8-40−2−25−2+254−42422+252−250001+51−50022−22−1−5−1+52ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ103−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ11900000000000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000000000000000000000000000000000
χ778-8-40−2+25−2−25442−422−252+250001−51+500−2222−1+5−1−52ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ119−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ10300000000000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ1030000000000000000000000000000000000
χ788-8-40−2+25−2−254−42422−252+250001−51+50022−22−1+5−1−5−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1192ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ10300000000000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000000000000000000000000000000000

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