Finite Group Databasebeta

← Group #13014089

Character table — Group #13014089

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444444444444488888888888888888888888888882020202020202020202020202020202040404040404040404040404040404040
order1244888824882458810101020202020404040404040404024881010101010102020202020204040404040404040404040401616161616161616161616161616161632323232323232323232323232323232
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78
χ101111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78
χ111111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74
χ121111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74
χ131111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74
χ141111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74
χ151111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78
χ161111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78
χ1711-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i1-1i−i-1-1111111-1-1-1-1ii−i−iiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59
χ1811-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i1-1i−i-1-1111111-1-1-1-1ii−i−iiiii−i−i−i−i−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59
χ1911-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i1-1i−i-1-1111111-1-1-1-1ii−i−iiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79
χ2011-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i1-1i−i-1-1111111-1-1-1-1ii−i−iiiii−i−i−i−iζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79
χ2111-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i-11−ii-1-1-1-1-1-1111111ii−i−i−i−i−i−iiiii−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79
χ2211-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i-11−ii-1-1-1-1-1-1111111ii−i−i−i−i−i−iiiii−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79
χ2311-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i-11−ii-1-1-1-1-1-1111111ii−i−i−i−i−i−iiiiiζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59
χ2411-1-1ii−i−i1-1i−i-111i−i111-1-1-1-1iiii−i−i−i−i-11−ii-1-1-1-1-1-1111111ii−i−i−i−i−i−iiiiiζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73ζ13+ζ29+ζ61+ζ77−ζ13−ζ29−ζ61−ζ77−ζ9−ζ41−ζ57−ζ73ζ9+ζ41+ζ57+ζ73−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59ζ31+ζ47+ζ63+ζ79−ζ31−ζ47−ζ63−ζ79ζ11+ζ27+ζ43+ζ59−ζ11−ζ27−ζ43−ζ59
χ2511-1-1−i−iii1-1−ii-111−ii111-1-1-1-1−i−i−i−iiiii1-1−ii-1-1111111-1-1-1-1−i−iii−i−i−i−iiiii−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ14−ζ46−ζ62−ζ78−ζ14−ζ46−ζ62−ζ78ζ14+ζ46+ζ62+ζ78ζ14+ζ46+ζ62+ζ78−ζ26−ζ42−ζ58−ζ74−ζ26−ζ42−ζ58−ζ74ζ26+ζ42+ζ58+ζ74ζ26+ζ42+ζ58+ζ74−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59−ζ31−ζ47−ζ63−ζ79ζ31+ζ47+ζ63+ζ79−ζ11−ζ27−ζ43−ζ59ζ11+ζ27+ζ43+ζ59−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73−ζ13−ζ29−ζ61−ζ77ζ13+ζ29+ζ61+ζ77ζ9+ζ41+ζ57+ζ73−ζ9−ζ41−ζ57−ζ73
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χ7044-4-4−4i−4i4i4i4-4−4i4i-44-1−4i4i-1-1-11111iiii−i−i−i−i4-4−4i4i11-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i00000000000000000000000000000000
χ7144-4-4−4i−4i4i4i4-4−4i4i-44-1−4i4i-1-1-11111iiii−i−i−i−i-444i−4i111111-1-1-1-1-1-1ii−i−i−i−i−i−iiiii00000000000000000000000000000000
χ7244-4-4−4i−4i4i4i-444i−4i00400-4-4444-4-4−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000
χ7344-4-4−4i−4i4i4i-444i−4i00-10011-1-1-111ii−i−i−i−iii00005−5−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72−55ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72i5−i5−i5i5−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−ζ7600000000000000000000000000000000
χ7444-4-4−4i−4i4i4i-444i−4i00-10011-1-1-111ii−i−i−i−iii00005−5ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72−55−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72i5−i5−i5i5ζ12−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+ζ7600000000000000000000000000000000
χ7544-4-4−4i−4i4i4i-444i−4i00-10011-1-1-111ii−i−i−i−iii0000−55−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ725−5ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−i5i5i5−i5−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−ζ7600000000000000000000000000000000
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χ774-44i−4i−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ74−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ7800000040000-4004i−4i−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ7400−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ780000000000000000000000000000002ζ13+2ζ29+2ζ61+2ζ77−2ζ13−2ζ29−2ζ61−2ζ77−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ59000000000000000000000000
χ784-44i−4i−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ74−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ7800000040000-4004i−4i−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ7400−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ78000000000000000000000000000000−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ772ζ9+2ζ41+2ζ57+2ζ73−2ζ9−2ζ41−2ζ57−2ζ732ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ792ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ59000000000000000000000000
χ794-44i−4i4ζ26+4ζ42+4ζ58+4ζ74−4ζ26−4ζ42−4ζ58−4ζ744ζ14+4ζ46+4ζ62+4ζ78−4ζ14−4ζ46−4ζ62−4ζ7800000040000-4004i−4i4ζ26+4ζ42+4ζ58+4ζ74−4ζ26−4ζ42−4ζ58−4ζ74004ζ14+4ζ46+4ζ62+4ζ78−4ζ14−4ζ46−4ζ62−4ζ78000000000000000000000000000000−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ77−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ592ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ79000000000000000000000000
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χ814-4−4i4i−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ78−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ7400000040000-400−4i4i−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ7800−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ74000000000000000000000000000000−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ59−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ772ζ9+2ζ41+2ζ57+2ζ73−2ζ9−2ζ41−2ζ57−2ζ73000000000000000000000000
χ824-4−4i4i−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ78−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ7400000040000-400−4i4i−4ζ14−4ζ46−4ζ62−4ζ784ζ14+4ζ46+4ζ62+4ζ7800−4ζ26−4ζ42−4ζ58−4ζ744ζ26+4ζ42+4ζ58+4ζ740000000000000000000000000000002ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ792ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ592ζ13+2ζ29+2ζ61+2ζ77−2ζ13−2ζ29−2ζ61−2ζ77−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73000000000000000000000000
χ834-4−4i4i4ζ14+4ζ46+4ζ62+4ζ78−4ζ14−4ζ46−4ζ62−4ζ784ζ26+4ζ42+4ζ58+4ζ74−4ζ26−4ζ42−4ζ58−4ζ7400000040000-400−4i4i4ζ14+4ζ46+4ζ62+4ζ78−4ζ14−4ζ46−4ζ62−4ζ78004ζ26+4ζ42+4ζ58+4ζ74−4ζ26−4ζ42−4ζ58−4ζ74000000000000000000000000000000−2ζ11−2ζ27−2ζ43−2ζ592ζ11+2ζ27+2ζ43+2ζ592ζ31+2ζ47+2ζ63+2ζ79−2ζ31−2ζ47−2ζ63−2ζ792ζ9+2ζ41+2ζ57+2ζ73−2ζ9−2ζ41−2ζ57−2ζ732ζ13+2ζ29+2ζ61+2ζ77−2ζ13−2ζ29−2ζ61−2ζ77000000000000000000000000
χ844-4−4i4i4ζ14+4ζ46+4ζ62+4ζ78−4ζ14−4ζ46−4ζ62−4ζ784ζ26+4ζ42+4ζ58+4ζ74−4ζ26−4ζ42−4ζ58−4ζ7400000040000-400−4i4i4ζ14+4ζ46+4ζ62+4ζ78−4ζ14−4ζ46−4ζ62−4ζ78004ζ26+4ζ42+4ζ58+4ζ74−4ζ26−4ζ42−4ζ58−4ζ740000000000000000000000000000002ζ11+2ζ27+2ζ43+2ζ59−2ζ11−2ζ27−2ζ43−2ζ59−2ζ31−2ζ47−2ζ63−2ζ792ζ31+2ζ47+2ζ63+2ζ79−2ζ9−2ζ41−2ζ57−2ζ732ζ9+2ζ41+2ζ57+2ζ73−2ζ13−2ζ29−2ζ61−2ζ772ζ13+2ζ29+2ζ61+2ζ77000000000000000000000000
χ858-88i−8i−8ζ26−8ζ42−8ζ58−8ζ748ζ26+8ζ42+8ζ58+8ζ74−8ζ14−8ζ46−8ζ62−8ζ788ζ14+8ζ46+8ζ62+8ζ78000000-20025−2522i5−2i5−2i2i2ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ742ζ26−2ζ42−2ζ58+2ζ74−2ζ26+2ζ42+2ζ58−2ζ742ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ78−2ζ14−2ζ46+2ζ62+2ζ782ζ14+2ζ46−2ζ62−2ζ78000000000000000000000000000000000000000000000000000000000000
χ868-88i−8i−8ζ26−8ζ42−8ζ58−8ζ748ζ26+8ζ42+8ζ58+8ζ74−8ζ14−8ζ46−8ζ62−8ζ788ζ14+8ζ46+8ζ62+8ζ78000000-200−25252−2i52i5−2i2i2ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ74−2ζ26+2ζ42+2ζ58−2ζ742ζ26−2ζ42−2ζ58+2ζ742ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46−2ζ62−2ζ78−2ζ14−2ζ46+2ζ62+2ζ78000000000000000000000000000000000000000000000000000000000000
χ878-88i−8i8ζ26+8ζ42+8ζ58+8ζ74−8ζ26−8ζ42−8ζ58−8ζ748ζ14+8ζ46+8ζ62+8ζ78−8ζ14−8ζ46−8ζ62−8ζ78000000-20025−2522i5−2i5−2i2i−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74−2ζ26+2ζ42+2ζ58−2ζ742ζ26−2ζ42−2ζ58+2ζ74−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ782ζ14+2ζ46−2ζ62−2ζ78−2ζ14−2ζ46+2ζ62+2ζ78000000000000000000000000000000000000000000000000000000000000
χ888-88i−8i8ζ26+8ζ42+8ζ58+8ζ74−8ζ26−8ζ42−8ζ58−8ζ748ζ14+8ζ46+8ζ62+8ζ78−8ζ14−8ζ46−8ζ62−8ζ78000000-200−25252−2i52i5−2i2i−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ742ζ26−2ζ42−2ζ58+2ζ74−2ζ26+2ζ42+2ζ58−2ζ74−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46+2ζ62+2ζ782ζ14+2ζ46−2ζ62−2ζ78000000000000000000000000000000000000000000000000000000000000
χ898-8−8i8i−8ζ14−8ζ46−8ζ62−8ζ788ζ14+8ζ46+8ζ62+8ζ78−8ζ26−8ζ42−8ζ58−8ζ748ζ26+8ζ42+8ζ58+8ζ74000000-20025−252−2i52i52i−2i2ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46−2ζ62−2ζ78−2ζ14−2ζ46+2ζ62+2ζ782ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ74−2ζ26+2ζ42+2ζ58−2ζ742ζ26−2ζ42−2ζ58+2ζ74000000000000000000000000000000000000000000000000000000000000
χ908-8−8i8i−8ζ14−8ζ46−8ζ62−8ζ788ζ14+8ζ46+8ζ62+8ζ78−8ζ26−8ζ42−8ζ58−8ζ748ζ26+8ζ42+8ζ58+8ζ74000000-200−252522i5−2i52i−2i2ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ78−2ζ14−2ζ46+2ζ62+2ζ782ζ14+2ζ46−2ζ62−2ζ782ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ742ζ26−2ζ42−2ζ58+2ζ74−2ζ26+2ζ42+2ζ58−2ζ74000000000000000000000000000000000000000000000000000000000000
χ918-8−8i8i8ζ14+8ζ46+8ζ62+8ζ78−8ζ14−8ζ46−8ζ62−8ζ788ζ26+8ζ42+8ζ58+8ζ74−8ζ26−8ζ42−8ζ58−8ζ74000000-20025−252−2i52i52i−2i−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46+2ζ62+2ζ782ζ14+2ζ46−2ζ62−2ζ78−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ742ζ26−2ζ42−2ζ58+2ζ74−2ζ26+2ζ42+2ζ58−2ζ74000000000000000000000000000000000000000000000000000000000000
χ928-8−8i8i8ζ14+8ζ46+8ζ62+8ζ78−8ζ14−8ζ46−8ζ62−8ζ788ζ26+8ζ42+8ζ58+8ζ74−8ζ26−8ζ42−8ζ58−8ζ74000000-200−252522i5−2i52i−2i−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ782ζ14+2ζ46−2ζ62−2ζ78−2ζ14−2ζ46+2ζ62+2ζ78−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74−2ζ26+2ζ42+2ζ58−2ζ742ζ26−2ζ42−2ζ58+2ζ74000000000000000000000000000000000000000000000000000000000000

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