Finite Group Databasebeta

← Group #14278507

Character table — Group #14278507

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222224444444444448888888888888888888888101010101010101010102020202020202040404040404040404040404048484848486060606060606060240
order122234466658810101012122424242415202030303040404040606060601201201201201201201201204488881212121241212242424248888242424242424242442020202016161616161616164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11111iiii−i−i−i−i-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1−i−i−i−iiiii1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii11111−i−i−i−iiiii-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1iiii−i−i−i−i1
χ922222222222-2-222222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222222-2-2-2-200000000000000000000000000
χ1022222222222-2-222222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2222200000000000000000000000000
χ1122222-2-2222200222-2-200002-2-22220000-2-2-2-2000000002200002222-2-2-200000000000000000000022−2−222−2−20
χ1222222-2-2222200222-2-200002-2-22220000-2-2-2-2000000002200002222-2-2-2000000000000000000000−2−222−2−2220
χ1322222-2-2222200222-2-200002-2-22220000-2-2-2-200000000-2-20000-2-2-2-2222000000000000000000000−i2−i2i2i2i2i2−i2−i20
χ1422222-2-2222200222-2-200002-2-22220000-2-2-2-200000000-2-20000-2-2-2-2222000000000000000000000i2i2−i2−i2−i2−i2i2i20
χ152222-122-1-1-1222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ162222-122-1-1-1222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ172222-122-1-1-1222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-21111112i2i−2i−2i−i−i−i−iiiii00000000000000
χ182222-122-1-1-1222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2111111−2i−2i2i2iiiii−i−i−i−i00000000000000
χ192222-122-1-1-12-2-2222-1-11111-122-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-12-1-111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ202222-122-1-1-12-2-2222-1-11111-122-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-12-1-111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ212222-122-1-1-12-2-2222-1-11111-122-1-1-1-2-2-2-2-1-1-1-111111111-2-222221111-211-1-1-1-1000033−3−3−3−33300000000000000
χ222222-122-1-1-12-2-2222-1-11111-122-1-1-1-2-2-2-2-1-1-1-111111111-2-222221111-211-1-1-1-10000−3−33333−3−300000000000000
χ2322-2-22-222-2-2200-22-2-22000022-2-2-22000022-2-2000000000022-2-2000000022-2-22−22−22−22−22−22−200000000000000
χ2422-2-22-222-2-2200-22-2-22000022-2-2-22000022-2-2000000000022-2-2000000022-2-2−22−22−22−22−22−2200000000000000
χ2522-2-22-222-2-2200-22-2-22000022-2-2-22000022-2-20000000000-2-2220000000-2-222−i2i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ2622-2-22-222-2-2200-22-2-22000022-2-2-22000022-2-20000000000-2-2220000000-2-222i2−i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ2722-2-2-1-22-111200-22-21-133−3−3-12-211-10000-1-1113333−3−3−3−30022-2-233−3−303−3-1-1112−22−2−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ20600000000000000
χ2822-2-2-1-22-111200-22-21-133−3−3-12-211-10000-1-1113333−3−3−3−30022-2-233−3−303−3-1-111−22−22ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ20600000000000000
χ2922-2-2-1-22-111200-22-21-133−3−3-12-211-10000-1-1113333−3−3−3−300-2-222−3−3330−3311-1-1−i2i2i2−i2ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ23800000000000000
χ3022-2-2-1-22-111200-22-21-133−3−3-12-211-10000-1-1113333−3−3−3−300-2-222−3−3330−3311-1-1i2−i2−i2i2−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ23800000000000000
χ3122-2-2-1-22-111200-22-21-1−3−333-12-211-10000-1-111−3−3−3−333330022-2-2−3−3330−33-1-1112−22−2ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ23800000000000000
χ3222-2-2-1-22-111200-22-21-1−3−333-12-211-10000-1-111−3−3−3−333330022-2-2−3−3330−33-1-111−22−22−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ238ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206ζ14−ζ58+ζ62−ζ106−ζ154+ζ158−ζ202+ζ206−ζ14+ζ58−ζ62+ζ106+ζ154−ζ158+ζ202−ζ206−ζ26+ζ46−ζ74+ζ94−ζ122+ζ142−ζ218+ζ238ζ26−ζ46+ζ74−ζ94+ζ122−ζ142+ζ218−ζ23800000000000000
χ3322-2-2-1-22-111200-22-21-1−3−333-12-211-10000-1-111−3−3−3−3333300-2-22233−3−303−311-1-1−i2i2i2−i2ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ20600000000000000
χ3422-2-2-1-22-111200-22-21-1−3−333-12-211-10000-1-111−3−3−3−3333300-2-22233−3−303−311-1-1i2−i2−i2i2−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ206ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238ζ26+ζ46+ζ74+ζ94+ζ122+ζ142+ζ218+ζ238−ζ26−ζ46−ζ74−ζ94−ζ122−ζ142−ζ218−ζ238ζ14+ζ58+ζ62+ζ106+ζ154+ζ158+ζ202+ζ206−ζ14−ζ58−ζ62−ζ106−ζ154−ζ158−ζ202−ζ20600000000000000
χ352-2-22200-22-222−22-2-2002−22−22002-2-222−2−2000022−2−222−2−22i−2i−i2i2−i2i22i−2i2i−2i000−i2i2−i2i200000000000000000−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ2390
χ362-2-22200-22-222−22-2-2002−22−22002-2-222−2−2000022−2−222−2−22i−2i−i2i2−i2i22i−2i2i−2i000−i2i2−i2i200000000000000000ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ2390
χ372-2-22200-22-222−22-2-2002−22−22002-2-222−2−2000022−2−222−2−2−2i2ii2−i2i2−i2−2i2i−2i2i000i2−i2i2−i200000000000000000ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ2330
χ382-2-22200-22-222−22-2-2002−22−22002-2-222−2−2000022−2−222−2−2−2i2ii2−i2i2−i2−2i2i−2i2i000i2−i2i2−i200000000000000000−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ2330
χ392-2-22200-22-22−222-2-200−22−222002-2-2−2−2220000−2−222−2−2222i−2ii2−i2i2−i22i−2i2i−2i000i2−i2i2−i200000000000000000−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ2330
χ402-2-22200-22-22−222-2-200−22−222002-2-2−2−2220000−2−222−2−2222i−2ii2−i2i2−i22i−2i2i−2i000i2−i2i2−i200000000000000000ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ2330
χ412-2-22200-22-22−222-2-200−22−222002-2-2−2−2220000−2−222−2−222−2i2i−i2i2−i2i2−2i2i−2i2i000−i2i2−i2i200000000000000000ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ239−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ2390
χ422-2-22200-22-22−222-2-200−22−222002-2-2−2−2220000−2−222−2−222−2i2i−i2i2−i2i2−2i2i−2i2i000−i2i2−i2i200000000000000000−ζ13−ζ29−ζ31−ζ47−ζ61−ζ77−ζ79−ζ109−ζ127−ζ143−ζ157−ζ173−ζ191−ζ221−ζ223−ζ239ζ13+ζ29+ζ31+ζ47+ζ61+ζ77+ζ79+ζ109+ζ127+ζ143+ζ157+ζ173+ζ191+ζ221+ζ223+ζ239ζ11−ζ41+ζ43+ζ59−ζ73−ζ89+ζ91+ζ107−ζ121−ζ137+ζ139−ζ169+ζ187+ζ203−ζ217−ζ233−ζ11+ζ41−ζ43−ζ59+ζ73+ζ89−ζ91−ζ107+ζ121+ζ137−ζ139+ζ169−ζ187−ζ203+ζ217+ζ233ζ11+ζ41+ζ43+ζ59+ζ73+ζ89+ζ91+ζ107+ζ121+ζ137+ζ139+ζ169+ζ187+ζ203+ζ217+ζ233−ζ11−ζ41−ζ43−ζ59−ζ73−ζ89−ζ91−ζ107−ζ121−ζ137−ζ139−ζ169−ζ187−ζ203−ζ217−ζ233−ζ13−ζ29+ζ31+ζ47−ζ61−ζ77+ζ79−ζ109+ζ127+ζ143−ζ157−ζ173+ζ191−ζ221+ζ223+ζ239ζ13+ζ29−ζ31−ζ47+ζ61+ζ77−ζ79+ζ109−ζ127−ζ143+ζ157+ζ173−ζ191+ζ221−ζ223−ζ2390
χ434444444444-144-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000004-1-1-1-1000000000
χ444444444444-144-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000-41111000000000
χ454444444444-1-4-4-1-1-144-4-4-4-4-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000000000−5−555000000000
χ464444444444-1-4-4-1-1-144-4-4-4-4-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000000000055−5−5000000000
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χ7588-8-8-4-88-444-2002-224-4−43−4343431-22-1-11000011-1-13333−3−3−3−30000000000000000000000000000000000000000000
χ768-88-8800-8-88-20022-2000000-2002-2210−10−1010000010−10−101010−10−10100000000000000000000000000000000000000000000
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χ788-88-8-40044-4-20022-20026−26−2626100-11-110−10−1010−1515−1515−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ2380000000000000000000000000000000000000000000
χ798-88-8-40044-4-20022-20026−26−2626100-11-1−101010−1015−1515−15−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ2020000000000000000000000000000000000000000000
χ808-88-8-40044-4-20022-200−262626−26100-11-110−10−101015−1515−15ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ2020000000000000000000000000000000000000000000
χ818-88-8-40044-4-20022-200−262626−26100-11-1−101010−10−1515−1515ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ238ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202−ζ26+ζ46+ζ58−ζ62−ζ74+ζ94−ζ158+ζ202−ζ14+ζ106−ζ122+ζ142+ζ154−ζ206−ζ218+ζ238ζ26−ζ46−ζ58+ζ62+ζ74−ζ94+ζ158−ζ202ζ14−ζ106+ζ122−ζ142−ζ154+ζ206+ζ218−ζ2380000000000000000000000000000000000000000000
χ828-8-88800-88-8-242−42-2220042−4242−42-200-222−2−2220000−2−222−2−2220000000000000000000000000000000000000000000
χ838-8-88800-88-8-2−4242-22200−4242−4242-200-22222−2−2000022−2−222−2−20000000000000000000000000000000000000000000
χ848-8-88-4004-44-242−42-22200−2222−22221001-1-1−2−222−151515−15−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ2020000000000000000000000000000000000000000000
χ858-8-88-4004-44-242−42-22200−2222−22221001-1-1−2−22215−15−1515ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ2380000000000000000000000000000000000000000000
χ868-8-88-4004-44-2−4242-2220022−2222−221001-1-122−2−2−151515−15ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ2020000000000000000000000000000000000000000000
χ878-8-88-4004-44-2−4242-2220022−2222−221001-1-122−2−215−15−1515−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ238−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202ζ26−ζ46+ζ58−ζ62+ζ74−ζ94−ζ158+ζ202−ζ14+ζ106+ζ122−ζ142+ζ154−ζ206+ζ218−ζ238−ζ26+ζ46−ζ58+ζ62−ζ74+ζ94+ζ158−ζ202ζ14−ζ106−ζ122+ζ142−ζ154+ζ206−ζ218+ζ2380000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 240 (ζ240 = 1); i = ζ60.