Finite Group Databasebeta

← Group #13013869

Character table — Group #13013869

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122224444444444448888888888881010101010101010101010101616161616161616161620202020202020202020202020202020202040404040404040408080
order122244442244588881010102020202010102020404040404040404022448888888888404040404040404024161616161616161616161616161616164444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii11
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i11
χ91111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1i−iiiii−i−i−i−i-11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1i−i
χ101111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1i−iiiii−i−i−i−i-11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111i−i
χ111111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1−ii−i−i−i−iiiii-11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−ii
χ121111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1−ii−i−i−i−iiiii-11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−ii
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111i−iiiii−i−i−i−i1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−ii
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111i−iiiii−i−i−i−i1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−ii
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−ii−i−i−i−iiiii1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiii−i
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111−ii−i−i−i−iiiii1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−ii−i
χ172222222222222-2-2-2-222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000002200000000000000000000000000
χ182222222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000-2-200000000000000000000000000
χ1922222222-2-2-2-2200002222222-2-2-2-2000000002222000000000000000000-2-222−2−222−2−222−2−222−2−20000000000
χ2022222222-2-2-2-2200002222222-2-2-2-2000000002222000000000000000000-2-2−2−222−2−222−2−222−2−2220000000000
χ2122222222-2-2-2-2200002222222-2-2-2-200000000-2-2-2-200000000000000000022i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000
χ2222222222-2-2-2-2200002222222-2-2-2-200000000-2-2-2-200000000000000000022−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000
χ232222-2-2-2-222-2-220000222-2-2-2-222-2-20000000022-2-20000000000000000002-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000
χ242222-2-2-2-222-2-220000222-2-2-2-222-2-20000000022-2-20000000000000000002-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000
χ252222-2-2-2-222-2-220000222-2-2-2-222-2-200000000-2-222000000000000000000-2222−2−2−2−222−2−22222−2−20000000000
χ262222-2-2-2-222-2-220000222-2-2-2-222-2-200000000-2-222000000000000000000-22−2−22222−2−222−2−2−2−2220000000000
χ272222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-222220000000000-2200000000000000000000000000
χ282222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-222-2-2-2-22222-2-2222222-2-2-2-200000000002-200000000000000000000000000
χ2922-2-22i−2i2i−2i000022−2i2−i22-2-22i−2i2i−2i000022−2−2i2i2−i2−i22-22i−2i22−2−2i2i2−i2−i2000000000000ζ13+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−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+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−ζ790000000000
χ3022-2-22i−2i2i−2i000022−2i2−i22-2-22i−2i2i−2i000022−2−2i2i2−i2−i22-22i−2i22−2−2i2i2−i2−i2000000000000−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−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+ζ790000000000
χ3122-2-22i−2i2i−2i000022−2i2−i22-2-22i−2i2i−2i000022−2−2i2i2−i2−i2-22−2i2i−2−222−i2−i2i2i2000000000000ζ9−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−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+ζ730000000000
χ3222-2-22i−2i2i−2i000022−2i2−i22-2-22i−2i2i−2i000022−2−2i2i2−i2−i2-22−2i2i−2−222−i2−i2i2i2000000000000−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+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−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−ζ730000000000
χ3322-2-22i−2i2i−2i00002−22−i2i22-2-22i−2i2i−2i0000−2−222−i2−i2i2i22-22i−2i−2−222−i2−i2i2i2000000000000−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−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+ζ730000000000
χ3422-2-22i−2i2i−2i00002−22−i2i22-2-22i−2i2i−2i0000−2−222−i2−i2i2i22-22i−2i−2−222−i2−i2i2i2000000000000ζ9+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−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−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−ζ730000000000
χ3522-2-22i−2i2i−2i00002−22−i2i22-2-22i−2i2i−2i0000−2−222−i2−i2i2i2-22−2i2i22−2−2i2i2−i2−i2000000000000ζ13+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−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−ζ790000000000
χ3622-2-22i−2i2i−2i00002−22−i2i22-2-22i−2i2i−2i0000−2−222−i2−i2i2i2-22−2i2i22−2−2i2i2−i2−i2000000000000−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−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+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+ζ790000000000
χ3722-2-2−2i2i−2i2i000022−2−i2i22-2-2−2i2i−2i2i000022−2−2−i2−i2i2i22-2−2i2i22−2−2−i2−i2i2i2000000000000ζ9−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+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−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+ζ730000000000
χ3822-2-2−2i2i−2i2i000022−2−i2i22-2-2−2i2i−2i2i000022−2−2−i2−i2i2i22-2−2i2i22−2−2−i2−i2i2i2000000000000−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−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−ζ730000000000
χ3922-2-2−2i2i−2i2i000022−2−i2i22-2-2−2i2i−2i2i000022−2−2−i2−i2i2i2-222i−2i−2−222i2i2−i2−i2000000000000ζ13+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−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−ζ790000000000
χ4022-2-2−2i2i−2i2i000022−2−i2i22-2-2−2i2i−2i2i000022−2−2−i2−i2i2i2-222i−2i−2−222i2i2−i2−i2000000000000−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−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−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+ζ790000000000
χ4122-2-2−2i2i−2i2i00002−22i2−i22-2-2−2i2i−2i2i0000−2−222i2i2−i2−i22-2−2i2i−2−222i2i2−i2−i2000000000000ζ13+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−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−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−ζ790000000000
χ4222-2-2−2i2i−2i2i00002−22i2−i22-2-2−2i2i−2i2i0000−2−222i2i2−i2−i22-2−2i2i−2−222i2i2−i2−i2000000000000−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−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+ζ790000000000
χ4322-2-2−2i2i−2i2i00002−22i2−i22-2-2−2i2i−2i2i0000−2−222i2i2−i2−i2-222i−2i22−2−2−i2−i2i2i2000000000000−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−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+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+ζ730000000000
χ4422-2-2−2i2i−2i2i00002−22i2−i22-2-2−2i2i−2i2i0000−2−222i2i2−i2−i2-222i−2i22−2−2−i2−i2i2i2000000000000ζ9+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−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−ζ730000000000
χ452-2-2222-2-22-22-220000-2-22-2-2222-22-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ462-2-2222-2-22-22-220000-2-22-2-2222-22-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00
χ472-2-2222-2-22-22-220000-2-22-2-2222-22-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ482-2-2222-2-22-22-220000-2-22-2-2222-22-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ492-2-22-2-222-222-220000-2-2222-2-2-222-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00
χ502-2-22-2-222-222-220000-2-2222-2-2-222-20000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00
χ512-2-22-2-222-222-220000-2-2222-2-2-222-2000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00
χ522-2-22-2-222-222-220000-2-2222-2-2-222-2000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00
χ53444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000044-1-1-1-1-1-1-1-10000000000000000000000000000
χ54444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-4-4111111110000000000000000000000000000
χ55444444444444-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1111111110000000000000055−5−555−5−50000000000000000000000000000
χ56444444444444-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-11111111100000000000000−5−555−5−5550000000000000000000000000000
χ574444-4-4-4-4-4-444-144-4-4-1-1-1111111-1-1-1-1-1-111110000000000004i−4i−i−i−i−iiiii0000000000000000000000000000
χ584444-4-4-4-4-4-444-144-4-4-1-1-1111111-1-1-1-1-1-11111000000000000−4i4iiiii−i−i−i−i0000000000000000000000000000
χ594444-4-4-4-4-4-444-1-4-444-1-1-1111111-1-11111-1-1-1-100000000000000i5i5−i5−i5−i5−i5i5i50000000000000000000000000000
χ604444-4-4-4-4-4-444-1-4-444-1-1-1111111-1-11111-1-1-1-100000000000000−i5−i5i5i5i5i5−i5−i50000000000000000000000000000
χ614-44-44i−4i−4i4i000040000-44-4−4i4i4i−4i00000000000000002i2−2i2−2i22i2−222222−2200000000000000000000000000000000000000
χ624-44-44i−4i−4i4i000040000-44-4−4i4i4i−4i0000000000000000−2i22i22i2−2i222−22−222200000000000000000000000000000000000000
χ634-44-4−4i4i4i−4i000040000-44-44i−4i−4i4i00000000000000002i2−2i2−2i22i222−22−222200000000000000000000000000000000000000
χ644-44-4−4i4i4i−4i000040000-44-44i−4i−4i4i0000000000000000−2i22i22i2−2i2−222222−2200000000000000000000000000000000000000
χ654-4-4444-4-4-44-4440000-4-44-4-444-44-440000000000000000000000000000000000000000000000000000000000
χ664-4-4444-4-4-44-44-1000011-111-1-11-11-15−55−55−55−500000000000000−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ720000000000000000000000000000
χ674-4-4444-4-4-44-44-1000011-111-1-11-11-15−55−55−55−500000000000000ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ720000000000000000000000000000
χ684-4-4444-4-4-44-44-1000011-111-1-11-11-1−55−55−55−5500000000000000−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ720000000000000000000000000000
χ694-4-4444-4-4-44-44-1000011-111-1-11-11-1−55−55−55−5500000000000000ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ720000000000000000000000000000
χ704-4-44-4-4444-4-4440000-4-4444-4-44-4-440000000000000000000000000000000000000000000000000000000000
χ714-4-44-4-4444-4-44-1000011-1-1-111-111-15−55−5−55−5500000000000000−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ760000000000000000000000000000
χ724-4-44-4-4444-4-44-1000011-1-1-111-111-15−55−5−55−5500000000000000ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ760000000000000000000000000000
χ734-4-44-4-4444-4-44-1000011-1-1-111-111-1−55−555−55−500000000000000ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ760000000000000000000000000000
χ744-4-44-4-4444-4-44-1000011-1-1-111-111-1−55−555−55−500000000000000−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ760000000000000000000000000000
χ7588888888-8-8-8-8-20000-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000
χ768888-8-8-8-888-8-8-20000-2-2-22222-2-2220000000000000000000000000000000000000000000000000000000000
χ7788-8-88i−8i8i−8i0000-242−424i2−4i2-222−2i2i−2i2i0000−2−222−i2−i2i2i200000000000000000000000000000000000000000000000000
χ7888-8-88i−8i8i−8i0000-2−4242−4i24i2-222−2i2i−2i2i000022−2−2i2i2−i2−i200000000000000000000000000000000000000000000000000
χ7988-8-8−8i8i−8i8i0000-242−42−4i24i2-2222i−2i2i−2i0000−2−222i2i2−i2−i200000000000000000000000000000000000000000000000000
χ8088-8-8−8i8i−8i8i0000-2−42424i2−4i2-2222i−2i2i−2i000022−2−2−i2−i2i2i200000000000000000000000000000000000000000000000000
χ818-88-88i−8i−8i8i0000-200002-222i−2i−2i2i000010−10−1010i10−i10−i10i1000000000000000000000000000000000000000000000000000
χ828-88-88i−8i−8i8i0000-200002-222i−2i−2i2i0000−101010−10−i10i10i10−i1000000000000000000000000000000000000000000000000000
χ838-88-8−8i8i8i−8i0000-200002-22−2i2i2i−2i000010−10−1010−i10i10i10−i1000000000000000000000000000000000000000000000000000
χ848-88-8−8i8i8i−8i0000-200002-22−2i2i2i−2i0000−101010−10i10−i10−i10i1000000000000000000000000000000000000000000000000000
χ858-8-8888-8-88-88-8-2000022-222-2-2-22-220000000000000000000000000000000000000000000000000000000000
χ868-8-88-8-888-888-8-2000022-2-2-2222-2-220000000000000000000000000000000000000000000000000000000000

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