Finite Group Databasebeta

← Group #13027206

Character table — Group #13027206

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size112222222224444444558888888888888810101010101010101016162020202020202020202020202020202020202032323232808080808080
order1224488161616165810161620202210204040404080808080808080802448816161616884444888881616161616161616161640404040444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ31111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-111i−ii−i-1ii−i−i-1-1iiii−i−i−i−i1111ii−i−i-1-1
χ6111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-111−ii−ii-1−i−iii-1-1−i−i−i−iiiii1111−i−iii-1-1
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1i−ii−i-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii11
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−ii-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i11
χ91111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ101111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-11-111-1
χ111111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ121111111-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1111-11-1-11
χ131111111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1i−ii−i-1ii−i−i11−i−i−i−iiiii11-1-1i−i−ii-11
χ141111111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1−ii−ii-1−i−iii11iiii−i−i−i−i11-1-1−iii−i-11
χ151111111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11i−ii−i-1ii−i−i11−i−i−i−iiiii-1-111−iii−i1-1
χ161111111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11−ii−ii-1−i−iii11iiii−i−i−i−i-1-111i−i−ii1-1
χ1722222-2-200002-2200222222-2-2-2-200000000222-2-20000002222-2-2-2-2-200000000000000000000
χ1822222-2-200002-2200222222-2-2-2-200000000222-2-2000000-2-2-2-2-2222200000000000000000000
χ1922222-2-200002-220022-2-222-2-2-2-200000000-2-2-2220000002i−2i2i−2i2−2i−2i2i2i00000000000000000000
χ2022222-2-200002-220022-2-222-2-2-2-200000000-2-2-222000000−2i2i−2i2i22i2i−2i−2i00000000000000000000
χ21222-2-20022−2−22022−2-2-2222-200002222−2−2−2−22-2-20022−2−200000002i−2i2i−2i2−2i2i2−i2−i2i2i2−i2−i20000000000
χ22222-2-20022−2−22022−2-2-2222-200002222−2−2−2−22-2-20022−2−20000000−2i2i−2i2i2−2−i2−i2i2i2−i2−i2i2i20000000000
χ23222-2-20022−2−22022−2-2-2-2-22-200002222−2−2−2−2-22200−2−22200000002-2-22−2222−2−2−2−2220000000000
χ24222-2-20022−2−22022−2-2-2-2-22-200002222−2−2−2−2-22200−2−2220000000-222-2−22−2−22222−2−20000000000
χ25222-2-200−2−222202−22-2-2222-20000−2−2−2−222222-2-200−2−22200000002i−2i2i−2i−22−i2−i2i2i2−i2−i2i2i20000000000
χ26222-2-200−2−222202−22-2-2222-20000−2−2−2−222222-2-200−2−2220000000−2i2i−2i2i−22i2i2−i2−i2i2i2−i2−i20000000000
χ27222-2-200−2−222202−22-2-2-2-22-20000−2−2−2−22222-2220022−2−200000002-2-222−2−2−22222−2−20000000000
χ28222-2-200−2−222202−22-2-2-2-22-20000−2−2−2−22222-2220022−2−20000000-222-22−222−2−2−2−2220000000000
χ2922-22-22222222-22-2-2-2-222-22-2-22222-2-222-2-2-2-22222222000000-20000-2-2000000000000000000
χ3022-22-22222222-22-2-2-2-2-2-2-22-2-22222-2-222-2-222-2-2-2-2-2-2-20000002000022000000000000000000
χ3122-22-222-2-2-2-22-2222-2-222-22-2-222-2-222-2-222-2-2222-2-2-2-2000000-2000022000000000000000000
χ3222-22-222-2-2-2-22-2222-2-2-2-2-22-2-222-2-222-2-22222-2-2-2222200000020000-2-2000000000000000000
χ3322-22-2-2-2000022200-2-222-2222-2-200000000-2-22-2-2000000000020000002i−2i2i−2i2i−2i2i−2i0000000000
χ3422-22-2-2-2000022200-2-222-2222-2-200000000-2-22-2-200000000002000000−2i2i−2i2i−2i2i−2i2i0000000000
χ3522-22-2-2-2000022200-2-2-2-2-2222-2-20000000022-2220000000000-20000002-22-2-22-220000000000
χ3622-22-2-2-2000022200-2-2-2-2-2222-2-20000000022-2220000000000-2000000-22-222-22-20000000000
χ3722-2-220022−2−2202−222222-2-2000022−2−2−2−222-22-20022−2−20022-2-200000−222−2−222−2−220000000000
χ3822-2-220022−2−2202−222222-2-2000022−2−2−2−222-22-20022−2−200-2-22200000−22−222−2−222−20000000000
χ3922-2-220022−2−2202−2222-2-2-2-2000022−2−2−2−2222-2200−2−222002i−2i−2i2i000002−2i2−i2−i2i2−i2i2i2−i20000000000
χ4022-2-220022−2−2202−2222-2-2-2-2000022−2−2−2−2222-2200−2−22200−2i2i2i−2i000002−2−i2i2i2−i2i2−i2−i2i20000000000
χ4122-2-2200−2−2222022−22222-2-20000−2−22222−2−2-22-200−2−2220022-2-2000002−2−222−2−222−20000000000
χ4222-2-2200−2−2222022−22222-2-20000−2−22222−2−2-22-200−2−22200-2-222000002−22−2−222−2−220000000000
χ4322-2-2200−2−2222022−222-2-2-2-20000−2−22222−2−22-220022−2−2002i−2i−2i2i00000−22−i2i2i2−i2i2−i2−i2i20000000000
χ4422-2-2200−2−2222022−222-2-2-2-20000−2−22222−2−22-220022−2−200−2i2i2i−2i00000−22i2−i2−i2i2−i2i2i2−i20000000000
χ4544444444444-14-144-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000440000000000000000000-1-1-1-1000000
χ4644444444444-14-144-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-4-400000000000000000001111000000
χ474444444-4-4-4-4-14-1-4-4-1-100-1-1-1-1-1-1111111110000000004-40000000000000000000-1-111000000
χ484444444-4-4-4-4-14-1-4-4-1-100-1-1-1-1-1-111111111000000000-44000000000000000000011-1-1000000
χ4944-44-4444444-1-4-1-4-411001-111-1-1-1-111-1-111000000000000000000000000000000i5−i5i5−i5000000
χ5044-44-4444444-1-4-1-4-411001-111-1-1-1-111-1-111000000000000000000000000000000−i5i5−i5i5000000
χ5144-44-444-4-4-4-4-1-4-14411001-111-1-111-1-111-1-1000000000000000000000000000000i5−i5−i5i5000000
χ5244-44-444-4-4-4-4-1-4-14411001-111-1-111-1-111-1-1000000000000000000000000000000−i5i5i5−i5000000
χ534-400022−222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ7740-400004-4000022−222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ7900−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000022−222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000000000000000000000000000000
χ544-400022−222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ7740-40000-44000022−222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ7900−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ7700000−2222−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000000000000000000000000
χ554-400022−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ7740-400004-4000022−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000022−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000000000000000000000000
χ564-400022−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ7740-40000-44000022−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ7700000−22222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000000000000000000000000000000
χ574-4000−2222−2ζ11+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+2ζ73−2ζ7940-400004-40000−2222−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ7700−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ7900000−2222−2ζ11+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+2ζ73−2ζ790000000000000000000000000000000
χ584-4000−2222−2ζ11+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+2ζ73−2ζ7940-40000-440000−2222−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ7700−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ790000022−222ζ11−2ζ13+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+2ζ790000000000000000000000000000000
χ594-4000−22222ζ11−2ζ13+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+2ζ7940-400004-40000−22222ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ77002ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ7900000−22222ζ11−2ζ13+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+2ζ790000000000000000000000000000000
χ604-4000−22222ζ11−2ζ13+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+2ζ7940-40000-440000−22222ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ77002ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ790000022−22−2ζ11+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+2ζ73−2ζ790000000000000000000000000000000
χ6188888-8-80000-2-8-200-2-200-2-22222000000000000000000000000000000000000000000000000
χ62888-8-8004242−42−42-20-242−422200-220000−2−2−2−222220000000000000000000000000000000000000000
χ63888-8-800−42−424242-20-2−42422200-2200002222−2−2−2−20000000000000000000000000000000000000000
χ6488-88-8-8-80000-28-20022002-2-2-222000000000000000000000000000000000000000000000000
χ6588-8-88004242−42−42-20-2−4242-2-200220000−2−22222−2−20000000000000000000000000000000000000000
χ6688-8-8800−42−424242-20-242−42-2-20022000022−2−2−2−2220000000000000000000000000000000000000000
χ678-800042−424ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77-202002i5−2i50000i10−i10−22−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−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+ζ77ζ11−ζ13−ζ27+ζ29−ζ43+ζ59+ζ61−ζ77−ζ11+ζ13+ζ27−ζ29+ζ43−ζ59−ζ61+ζ770000000000000000000000000000000000000000
χ688-800042−424ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77-20200−2i52i50000−i10i10−22−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ9+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+ζ77−ζ11+ζ13+ζ27−ζ29+ζ43−ζ59−ζ61+ζ77ζ11−ζ13−ζ27+ζ29−ζ43+ζ59+ζ61−ζ770000000000000000000000000000000000000000
χ698-800042−42−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ794ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ77-202002i5−2i50000i10−i10−22ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9+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−ζ11+ζ13+ζ27−ζ29+ζ43−ζ59−ζ61+ζ77ζ11−ζ13−ζ27+ζ29−ζ43+ζ59+ζ61−ζ770000000000000000000000000000000000000000
χ708-800042−42−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ794ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ77-20200−2i52i50000−i10i10−22ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−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−ζ77ζ11−ζ13−ζ27+ζ29−ζ43+ζ59+ζ61−ζ77−ζ11+ζ13+ζ27−ζ29+ζ43−ζ59−ζ61+ζ770000000000000000000000000000000000000000
χ718-8000−4242−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79-202002i5−2i50000−i10i102−2ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77−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−ζ9−ζ31−ζ41+ζ47+ζ57+ζ63+ζ73−ζ79ζ9+ζ31+ζ41−ζ47−ζ57−ζ63−ζ73+ζ790000000000000000000000000000000000000000
χ728-8000−4242−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ794ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79-20200−2i52i50000i10−i102−2ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−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+ζ79ζ9+ζ31+ζ41−ζ47−ζ57−ζ63−ζ73+ζ79−ζ9−ζ31−ζ41+ζ47+ζ57+ζ63+ζ73−ζ790000000000000000000000000000000000000000
χ738-8000−42424ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79-202002i5−2i50000−i10i102−2−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77ζ11−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−ζ79ζ9+ζ31+ζ41−ζ47−ζ57−ζ63−ζ73+ζ79−ζ9−ζ31−ζ41+ζ47+ζ57+ζ63+ζ73−ζ790000000000000000000000000000000000000000
χ748-8000−42424ζ11−4ζ13+4ζ27−4ζ29+4ζ43+4ζ59−4ζ61−4ζ77−4ζ11+4ζ13−4ζ27+4ζ29−4ζ43−4ζ59+4ζ61+4ζ774ζ9−4ζ31+4ζ41−4ζ47+4ζ57−4ζ63+4ζ73−4ζ79−4ζ9+4ζ31−4ζ41+4ζ47−4ζ57+4ζ63−4ζ73+4ζ79-20200−2i52i50000i10−i102−2−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−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−ζ9−ζ31−ζ41+ζ47+ζ57+ζ63+ζ73−ζ79ζ9+ζ31+ζ41−ζ47−ζ57−ζ63−ζ73+ζ790000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.