Finite Group Databasebeta

← Group #13024842

Character table — Group #13024842

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122224444444444448888888888881010101010101010101010101616161616161616161620202020202020202020202020202020202040404040404040408080
order122244442244588881010102020202010102020404040404040404044448888888824101010102020202044161616161616161616161616161616168888888824
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
χ91111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-11-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-1
χ101111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-11-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-1
χ111111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-111111-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11
χ121111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-111111-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-11111-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-11111-11-1-1-1-111111111-1-1-1-111-1-1-1-1111-1
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
χ232222-2-2-2-222-2-220000222-2-2-2-222-2-20000000022-2-2000000000000000000-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000
χ242222-2-2-2-222-2-220000222-2-2-2-222-2-20000000022-2-2000000000000000000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000
χ252222-2-2-2-222-2-220000222-2-2-2-222-2-200000000-2-2220000000000000000002-222−2−2−2−222−2−22222−2−20000000000
χ262222-2-2-2-222-2-220000222-2-2-2-222-2-200000000-2-2220000000000000000002-2−2−22222−2−222−2−2−2−2220000000000
χ272222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2222200000000002-200000000000000000000000000
χ282222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-222-2-2-2-22222-2-2222222-2-2-2-20000000000-2200000000000000000000000000
χ2922-2-22i2i−2i−2i000022−2i2−i22-2-22i2i−2i−2i000022−2−2i2i2−i2−i22-22i−2i22−2−2i2−i2i2−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
χ3022-2-22i2i−2i−2i000022−2i2−i22-2-22i2i−2i−2i000022−2−2i2i2−i2−i22-22i−2i22−2−2i2−i2i2−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
χ3122-2-22i2i−2i−2i000022−2i2−i22-2-22i2i−2i−2i000022−2−2i2i2−i2−i2-22−2i2i−2−222−i2i2−i2i2000000000000ζ9−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
χ3222-2-22i2i−2i−2i000022−2i2−i22-2-22i2i−2i−2i000022−2−2i2i2−i2−i2-22−2i2i−2−222−i2i2−i2i2000000000000−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
χ3322-2-22i2i−2i−2i00002−22−i2i22-2-22i2i−2i−2i0000−2−222−i2−i2i2i22-22i−2i−2−222−i2i2−i2i2000000000000−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
χ3422-2-22i2i−2i−2i00002−22−i2i22-2-22i2i−2i−2i0000−2−222−i2−i2i2i22-22i−2i−2−222−i2i2−i2i2000000000000ζ9+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
χ3522-2-22i2i−2i−2i00002−22−i2i22-2-22i2i−2i−2i0000−2−222−i2−i2i2i2-22−2i2i22−2−2i2−i2i2−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
χ3622-2-22i2i−2i−2i00002−22−i2i22-2-22i2i−2i−2i0000−2−222−i2−i2i2i2-22−2i2i22−2−2i2−i2i2−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
χ3722-2-2−2i−2i2i2i000022−2−i2i22-2-2−2i−2i2i2i000022−2−2−i2−i2i2i22-2−2i2i22−2−2−i2i2−i2i2000000000000ζ9−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
χ3822-2-2−2i−2i2i2i000022−2−i2i22-2-2−2i−2i2i2i000022−2−2−i2−i2i2i22-2−2i2i22−2−2−i2i2−i2i2000000000000−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
χ3922-2-2−2i−2i2i2i000022−2−i2i22-2-2−2i−2i2i2i000022−2−2−i2−i2i2i2-222i−2i−2−222i2−i2i2−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
χ4022-2-2−2i−2i2i2i000022−2−i2i22-2-2−2i−2i2i2i000022−2−2−i2−i2i2i2-222i−2i−2−222i2−i2i2−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
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.