Finite Group Databasebeta

← Group #13013744

Character table — Group #13013744

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222222244444444444888888888888101010101010101010101616161616161616161620202020202020202020202020202020202020808080808080
order122244448888458810101020202020202020204040404040404040444444888888404040404040404028816161616161616161616161616161616888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i
χ91111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-11111i−iiiii−i−i−i−i-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−i
χ101111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-11111i−iiiii−i−i−i−i-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii−ii
χ111111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-11111−ii−i−i−i−iiiii-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii
χ121111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-11111−ii−i−i−i−iiiii-1-1-1-1-1-1-11111-1-1-1-11111−iii−ii−i
χ131111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1i−iiiii−i−i−i−i111iiii−i−i−i−i−i−i−i−iiiii−ii-111-1
χ141111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1i−iiiii−i−i−i−i111−i−i−i−iiiiiiiii−i−i−i−i−ii1-1-11
χ151111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1−ii−i−i−i−iiiii111iiii−i−i−i−i−i−i−i−iiiiii−i1-1-11
χ161111-111-11111-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1−ii−i−i−i−iiiii111−i−i−i−iiiiiiiii−i−i−i−ii−i-111-1
χ1722222222-2-2-2-222-2-222222222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000002-2-20000000000000000000000
χ1822222222-2-2-2-222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000-2220000000000000000000000
χ1922222-2-220000-22002222222-2-2-2-20000000022-2-22200000000000000-20022−2−222−2−222−2−222−2−2000000
χ2022222-2-220000-22002222222-2-2-2-20000000022-2-22200000000000000-200−2−222−2−222−2−222−2−222000000
χ2122222-2-220000-22002222222-2-2-2-200000000-2-222-2-200000000000000200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000
χ2222222-2-220000-22002222222-2-2-2-200000000-2-222-2-200000000000000200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000
χ232222-222-2-2-2-2-2-2222222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-20000000000-2220000000000000000000000
χ242222-222-2-2-2-2-2-2222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222200000000002-2-20000000000000000000000
χ252222-2-2-2-200002200222-2-2-2-222-2-20000000022-2-2-2-20000000000000020022−2−2−2−22222−2−2−2−222000000
χ262222-2-2-2-200002200222-2-2-2-222-2-20000000022-2-2-2-200000000000000200−2−22222−2−2−2−22222−2−2000000
χ272222-2-2-2-200002200222-2-2-2-222-2-200000000-2-2222200000000000000-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000
χ282222-2-2-2-200002200222-2-2-2-222-2-200000000-2-2222200000000000000-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000
χ2922-2-2200-222−2−2022−22-2-2-2-222000022−2−222−2−22i−2i002i−2ii2i2−i2−i200000000000i2−i2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79000000
χ3022-2-2200-222−2−2022−22-2-2-2-222000022−2−222−2−22i−2i002i−2ii2i2−i2−i200000000000i2−i2−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79000000
χ3122-2-2200-222−2−2022−22-2-2-2-222000022−2−222−2−2−2i2i00−2i2i−i2−i2i2i200000000000−i2i2ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73000000
χ3222-2-2200-222−2−2022−22-2-2-2-222000022−2−222−2−2−2i2i00−2i2i−i2−i2i2i200000000000−i2i2−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73000000
χ3322-2-2200-2−2−22202−222-2-2-2-2220000−2−222−2−2222i−2i002i−2i−i2−i2i2i200000000000−i2i2−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73000000
χ3422-2-2200-2−2−22202−222-2-2-2-2220000−2−222−2−2222i−2i002i−2i−i2−i2i2i200000000000−i2i2ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73000000
χ3522-2-2200-2−2−22202−222-2-2-2-2220000−2−222−2−222−2i2i00−2i2ii2i2−i2−i200000000000i2−i2ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79000000
χ3622-2-2200-2−2−22202−222-2-2-2-2220000−2−222−2−222−2i2i00−2i2ii2i2−i2−i200000000000i2−i2−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79000000
χ3722-2-2-200222−2−202−222-2-222-2-2000022−2−2−2−2222i−2i00−2i2ii2i2−i2−i200000000000−i2i2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79000000
χ3822-2-2-200222−2−202−222-2-222-2-2000022−2−2−2−2222i−2i00−2i2ii2i2−i2−i200000000000−i2i2−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79000000
χ3922-2-2-200222−2−202−222-2-222-2-2000022−2−2−2−222−2i2i002i−2i−i2−i2i2i200000000000i2−i2ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73000000
χ4022-2-2-200222−2−202−222-2-222-2-2000022−2−2−2−222−2i2i002i−2i−i2−i2i2i200000000000i2−i2−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73000000
χ4122-2-2-2002−2−222022−22-2-222-2-20000−2−22222−2−22i−2i00−2i2i−i2−i2i2i200000000000i2−i2−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73000000
χ4222-2-2-2002−2−222022−22-2-222-2-20000−2−22222−2−22i−2i00−2i2i−i2−i2i2i200000000000i2−i2ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73000000
χ4322-2-2-2002−2−222022−22-2-222-2-20000−2−22222−2−2−2i2i002i−2ii2i2−i2−i200000000000−i2i2ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79000000
χ4422-2-2-2002−2−222022−22-2-222-2-20000−2−22222−2−2−2i2i002i−2ii2i2−i2−i200000000000−i2i2−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79000000
χ454444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000044-1-1-1-1-1-1-1-10000000000000000000000000
χ464444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-4-4111111110000000000000000000000000
χ4744444444-4-4-4-44-1-4-4-1-1-1-1-1-1-1-1-1-1-11111111100000000000055−5−555−5−50000000000000000000000000
χ4844444444-4-4-4-44-1-4-4-1-1-1-1-1-1-1-1-1-1-111111111000000000000−5−555−5−5550000000000000000000000000
χ494444-444-44444-4-1-4-4-1-1-1111111-1-1-1-1-1-1111100000000004i−4i−i−i−i−iiiii0000000000000000000000000
χ504444-444-44444-4-1-4-4-1-1-1111111-1-1-1-1-1-111110000000000−4i4iiiii−i−i−i−i0000000000000000000000000
χ514444-444-4-4-4-4-4-4-144-1-1-1111111-1-11111-1-1-1-1000000000000i5i5−i5−i5−i5−i5i5i50000000000000000000000000
χ524444-444-4-4-4-4-4-4-144-1-1-1111111-1-11111-1-1-1-1000000000000−i5−i5i5i5i5i5−i5−i50000000000000000000000000
χ534-44-400002i2−2i22i2−2i20400-44-4000000002i2−2i22i2−2i20000004i−4i0022−2222−2200000000000000000000000000000000000
χ544-44-400002i2−2i22i2−2i20400-44-4000000002i2−2i22i2−2i2000000−4i4i00−2222−222200000000000000000000000000000000000
χ554-44-40000−2i22i2−2i22i20400-44-400000000−2i22i2−2i22i20000004i−4i00−2222−222200000000000000000000000000000000000
χ564-44-40000−2i22i2−2i22i20400-44-400000000−2i22i2−2i22i2000000−4i4i0022−2222−2200000000000000000000000000000000000
χ574-4-4404-4000000400-4-440000004-4000000000000004i−4i−4i4i00000000000000000000000000000000000
χ584-4-4404-4000000400-4-440000004-400000000000000−4i4i4i−4i00000000000000000000000000000000000
χ594-4-440-4404i−4i−4i4i0400-4-44000000-444i−4i−4i4i0000000000000000000000000000000000000000000000000
χ604-4-440-4404i−4i−4i4i0-10011-1i5−i5i5−i5i5−i51-1−iii−i5−55−5000000000000ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ580000000000000000000000000
χ614-4-440-4404i−4i−4i4i0-10011-1i5−i5i5−i5i5−i51-1−iii−i5−55−5000000000000−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ580000000000000000000000000
χ624-4-440-4404i−4i−4i4i0-10011-1−i5i5−i5i5−i5i51-1−iii−i−55−55000000000000−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ780000000000000000000000000
χ634-4-440-4404i−4i−4i4i0-10011-1−i5i5−i5i5−i5i51-1−iii−i−55−55000000000000ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ780000000000000000000000000
χ644-4-440-440−4i4i4i−4i0400-4-44000000-44−4i4i4i−4i0000000000000000000000000000000000000000000000000
χ654-4-440-440−4i4i4i−4i0-10011-1i5−i5i5−i5i5−i51-1i−i−ii−55−55000000000000−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ580000000000000000000000000
χ664-4-440-440−4i4i4i−4i0-10011-1i5−i5i5−i5i5−i51-1i−i−ii−55−55000000000000ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ580000000000000000000000000
χ674-4-440-440−4i4i4i−4i0-10011-1−i5i5−i5i5−i5i51-1i−i−ii5−55−5000000000000−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ780000000000000000000000000
χ684-4-440-440−4i4i4i−4i0-10011-1−i5i5−i5i5−i5i51-1i−i−ii5−55−5000000000000ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ780000000000000000000000000
χ6988888-8-880000-8-200-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000
χ708888-8-8-8-800008-200-2-2-22222-2-22200000000000000000000000000000000000000000000000000000
χ7188-8-8800-84242−42−420-242−42-22222-2-20000−2−222−2−222000000000000000000000000000000000000000000000
χ7288-8-8800-8−42−4242420-2−4242-22222-2-2000022−2−222−2−2000000000000000000000000000000000000000000000
χ7388-8-8-80084242−42−420-2−4242-222-2-2220000−2−22222−2−2000000000000000000000000000000000000000000000
χ7488-8-8-8008−42−4242420-242−42-222-2-222000022−2−2−2−222000000000000000000000000000000000000000000000
χ758-88-800004i2−4i24i2−4i20-2002-222i5−2i5−2i52i50000−i2i2−i2i2−101010−10000000000000000000000000000000000000000000000
χ768-88-800004i2−4i24i2−4i20-2002-22−2i52i52i5−2i50000−i2i2−i2i210−10−1010000000000000000000000000000000000000000000000
χ778-88-80000−4i24i2−4i24i20-2002-222i5−2i5−2i52i50000i2−i2i2−i210−10−1010000000000000000000000000000000000000000000000
χ788-88-80000−4i24i2−4i24i20-2002-22−2i52i52i5−2i50000i2−i2i2−i2−101010−10000000000000000000000000000000000000000000000
χ798-8-8808-8000000-20022-22i5−2i52i5−2i5−2i52i5-2200000000000000000000000000000000000000000000000000000
χ808-8-8808-8000000-20022-2−2i52i5−2i52i52i5−2i5-2200000000000000000000000000000000000000000000000000000

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