Finite Group Databasebeta

← Group #10602303

Character table — Group #10602303

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size112222222222222222244444444444444444444444444444441616161616161616161620202020202020208080
order122445588101016161616202020208101016162020404040404040404080808080808080808080808080808080241010101020202020323232323232323244
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1
χ611-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11
χ711-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11
χ811-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1
χ922222222222-2-2-2-22222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ102222222-2-22200002222-2220022-2-2-2-2-2-2-2-20000000000000000000000000022−2−222−2−200
χ112222222-2-22200002222-2220022-2-2-2-2-2-2-2-200000000000000000000000000−2−222−2−22200
χ1222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ1322222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ1422222−1+52−1−5222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ1522222−1+52−1−5222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ1622222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ1722222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000
χ1822222−1−52−1+5222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000
χ1922222−1−52−1+5222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000
χ20222-2-222002222−2−2-2-2-2-20222−2-2-20000000022−2−222−2−222−2−222−2−20000000000ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ7700
χ21222-2-222002222−2−2-2-2-2-20222−2-2-20000000022−2−222−2−222−2−222−2−20000000000−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ7700
χ22222-2-2220022−2−222-2-2-2-2022−22-2-200000000−2−222−2−222−2−222−2−2220000000000−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ7900
χ23222-2-2220022−2−222-2-2-2-2022−22-2-200000000−2−222−2−222−2−222−2−2220000000000ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ7900
χ2422-22-222002222−2−222220-2-2−22-2-20000000022−2−222−2−2−2−222−2−2220000000000ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ7700
χ2522-22-222002222−2−222220-2-2−22-2-20000000022−2−222−2−2−2−222−2−2220000000000−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ7700
χ2622-22-2220022−2−22222220-2-22−2-2-200000000−2−222−2−22222−2−222−2−20000000000−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ7900
χ2722-22-2220022−2−22222220-2-22−2-2-200000000−2−222−2−22222−2−222−2−20000000000ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ7900
χ2822-2-22222222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000
χ2922-2-2222-2-2220000-2-2-2-22-2-200222222-2-2-2-20000000000000000000000000022−2−2−2−22200
χ3022-2-2222-2-2220000-2-2-2-22-2-200222222-2-2-2-200000000000000000000000000−2−22222−2−200
χ3122-2-22−1+52−1−5222−1+52−1−5222221−521−521+521+52-21−521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ3222-2-22−1+52−1−5222−1+52−1−5222221−521−521+521+52-21−521+52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ3322-2-22−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+52-21−521+5222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ3422-2-22−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+52-21−521+5222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ3522-2-22−1−52−1+5222−1−52−1+5222221+521+521−521−52-21+521−52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ3622-2-22−1−52−1+5222−1−52−1+5222221+521+521−521−52-21+521−52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ3722-2-22−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−52-21+521−5222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000
χ3822-2-22−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−52-21+521−5222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000
χ3944444−1+5−1−5-4-4−1+5−1−50000−1+5−1+5−1−5−1−5-4−1+5−1−500−1+5−1−51−51−51+51+51−51−51+51+5000000000000000000000000000000000000
χ4044444−1−5−1+5-4-4−1−5−1+50000−1−5−1−5−1+5−1+5-4−1−5−1+500−1−5−1+51+51+51−51−51+51+51−51−5000000000000000000000000000000000000
χ41444-4-4−1+5−1−500−1+5−1−52222−22−221−51−51+51+50−1+5−1−522−221−51+500000000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000
χ42444-4-4−1+5−1−500−1+5−1−5−22−2222221−51−51+51+50−1+5−1−5−22221−51+500000000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000
χ43444-4-4−1−5−1+500−1−5−1+52222−22−221+51+51−51−50−1−5−1+522−221+51−500000000ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ7400000000000000000000
χ44444-4-4−1−5−1+500−1−5−1+5−22−2222221+51+51−51−50−1−5−1+5−22221+51−500000000−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ7400000000000000000000
χ4544-44-4−1+5−1−500−1+5−1−52222−22−22−1+5−1+5−1−5−1−501−51+5−22221−51+500000000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000
χ4644-44-4−1+5−1−500−1+5−1−5−22−222222−1+5−1+5−1−5−1−501−51+522−221−51+500000000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000
χ4744-44-4−1−5−1+500−1−5−1+52222−22−22−1−5−1−5−1+5−1+501+51−5−22221+51−500000000ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ7400000000000000000000
χ4844-44-4−1−5−1+500−1−5−1+5−22−222222−1−5−1−5−1+5−1+501+51−522−221+51−500000000−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ7400000000000000000000
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χ5044-4-44−1−5−1+5-4-4−1−5−1+500001+51+51−51−541+51−500−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000
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χ674-4000−1−5−1+5−22221+51−5−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ760000000ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000
χ684-4000−1−5−1+5−22221+51−5−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ760000000−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000
χ694-4000−1−5−1+5−22221+51−52ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ760000000ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000
χ704-4000−1−5−1+5−22221+51−52ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ760000000−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1).