Finite Group Databasebeta

← Group #13057091

Character table — Group #13057091

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1122222222222226688121212121212121212121212121212121212121216161616161616161616161616242424242424242884112112168168
order124777141414282828282828243644141414282828282828282828282828282828122121214242428484848484848565656565656246648
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111
χ522222222222222222-1-100222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1000000022-1-100
χ622222222222222222-1-100222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-10000000-2-21100
χ7222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74222222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ742ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ742ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74000000
χ8222ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ742222-2-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ742ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74-2−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74000000
χ9222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82222222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ822ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ822ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82000000
χ10222ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ822222-2-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ822ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82-2−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82000000
χ11222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62222222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ622ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ622ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62000000
χ12222ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ622222-2-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ622ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62-2−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62000000
χ1322-2222222-2-2-2-2-2-2-222200-2-2-2222000000000000-2222222-2-2-2-2-2-20000000000000
χ1422-2222222-2-2-2-2-2-2-22-1-100-2-2-22220000000000001-1-1-1-1-1-1111111000000000−i3i300
χ1522-2222222-2-2-2-2-2-2-22-1-100-2-2-22220000000000001-1-1-1-1-1-1111111000000000i3−i300
χ1622-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74-222200−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ740−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67000000
χ1722-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74-222200−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67-2ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ740ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67000000
χ1822-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82-222200−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ820ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79000000
χ1922-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82-222200−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79-2ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ820−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79000000
χ2022-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62-222200−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ620ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83000000
χ2122-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62-222200−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83-2ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ620−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83000000
χ22333333333333333-1-10011-1-1-1-1-1-11111111111110000000000000-1-1-1-1-1-1-13-100-11
χ23333333333333333-1-10011-1-1-1-1-1-11111111111110000000000000-1-1-1-1-1-1-1-31001-1
χ24333333333333333-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000011111113-1001-1
χ25333333333333333-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000001111111-3100-11
χ264442ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ7444-2-2002ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ742ζ2+2ζ26+2ζ58+2ζ822ζ22+2ζ34+2ζ50+2ζ622ζ10+2ζ38+2ζ46+2ζ74000000000000-2−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ740000000000000
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χ5466-63ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ742-20000ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ6700000000000000−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67000000
χ5566-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ822-20000ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ7900000000000000−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79000000
χ5666-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ822-20000ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ7900000000000000ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79000000
χ5766-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ622-20000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ8300000000000000−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83000000
χ5866-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ622-20000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ11+ζ31+ζ59−ζ67−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83ζ43−ζ55+ζ71−ζ8300000000000000ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83000000
χ598-80888-8-8-8000000002-2000000000000000000000222-2-2-20000000000000000000
χ608-804ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ19+4ζ23−4ζ47+4ζ794ζ19−4ζ23+4ζ47−4ζ794ζ43−4ζ55+4ζ71−4ζ83−4ζ43+4ζ55−4ζ71+4ζ834ζ11−4ζ31−4ζ59+4ζ67−4ζ11+4ζ31+4ζ59−4ζ67002-2000000000000000000000ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ670000000000000
χ618-804ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ744ζ19−4ζ23+4ζ47−4ζ79−4ζ19+4ζ23−4ζ47+4ζ79−4ζ43+4ζ55−4ζ71+4ζ834ζ43−4ζ55+4ζ71−4ζ83−4ζ11+4ζ31+4ζ59−4ζ674ζ11−4ζ31−4ζ59+4ζ67002-2000000000000000000000ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ670000000000000
χ628-804ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ824ζ43−4ζ55+4ζ71−4ζ83−4ζ43+4ζ55−4ζ71+4ζ834ζ11−4ζ31−4ζ59+4ζ67−4ζ11+4ζ31+4ζ59−4ζ67−4ζ19+4ζ23−4ζ47+4ζ794ζ19−4ζ23+4ζ47−4ζ79002-2000000000000000000000ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ83−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ790000000000000
χ638-804ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ43+4ζ55−4ζ71+4ζ834ζ43−4ζ55+4ζ71−4ζ83−4ζ11+4ζ31+4ζ59−4ζ674ζ11−4ζ31−4ζ59+4ζ674ζ19−4ζ23+4ζ47−4ζ79−4ζ19+4ζ23−4ζ47+4ζ79002-2000000000000000000000ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ83ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ790000000000000
χ648-804ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ624ζ11−4ζ31−4ζ59+4ζ67−4ζ11+4ζ31+4ζ59−4ζ67−4ζ19+4ζ23−4ζ47+4ζ794ζ19−4ζ23+4ζ47−4ζ794ζ43−4ζ55+4ζ71−4ζ83−4ζ43+4ζ55−4ζ71+4ζ83002-2000000000000000000000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ11+ζ31+ζ59−ζ67ζ11−ζ31−ζ59+ζ67ζ19−ζ23+ζ47−ζ79−ζ19+ζ23−ζ47+ζ79−ζ43+ζ55−ζ71+ζ83ζ43−ζ55+ζ71−ζ830000000000000
χ658-804ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ11+4ζ31+4ζ59−4ζ674ζ11−4ζ31−4ζ59+4ζ674ζ19−4ζ23+4ζ47−4ζ79−4ζ19+4ζ23−4ζ47+4ζ79−4ζ43+4ζ55−4ζ71+4ζ834ζ43−4ζ55+4ζ71−4ζ83002-2000000000000000000000ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62ζ11−ζ31−ζ59+ζ67−ζ11+ζ31+ζ59−ζ67−ζ19+ζ23−ζ47+ζ79ζ19−ζ23+ζ47−ζ79ζ43−ζ55+ζ71−ζ83−ζ43+ζ55−ζ71+ζ830000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.