Finite Group Databasebeta

← Group #13057087

Character table — Group #13057087

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size111122222222222266888812121212121212121212121212121212121212121212141416161616161616161616161624242424242442425656565684848484
order124477714141428282828282824361212448814141428282828282828282828282828282824212121424242848484848484565656565656246612124488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1111111-1-1-1-1-1-1-1111-1-1i−ii−i-1-1-1111iiiiii−i−i−i−i−i−i1-1111111-1-1-1-1-1-1iii−i−i−i-1111-1-1i−ii−i
χ611-1-1111111-1-1-1-1-1-1-1111-1-1i−ii−i-1-1-1111iiiiii−i−i−i−i−i−i-11111111-1-1-1-1-1-1iii−i−i−i1-1-1-111−ii−ii
χ711-1-1111111-1-1-1-1-1-1-1111-1-1−ii−ii-1-1-1111−i−i−i−i−i−iiiiiii1-1111111-1-1-1-1-1-1−i−i−iiii-1111-1-1−ii−ii
χ811-1-1111111-1-1-1-1-1-1-1111-1-1−ii−ii-1-1-1111−i−i−i−i−i−iiiiiii-11111111-1-1-1-1-1-1−i−i−iiii1-1-1-111i−ii−i
χ9222222222222222222-1-1-1-1000022222200000000000022-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-10000222222000000000000-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ112222ζ2+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+ζ742222222222ζ2+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+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ7400ζ2+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+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ740000000000
χ122222ζ2+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+ζ74222222-2-2-2-2ζ2+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−ζ22−ζ34−ζ50−ζ62−ζ22−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−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ7400ζ2+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−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ740000000000
χ132222ζ22+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+ζ822222222222ζ22+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+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ8200ζ22+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+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ820000000000
χ142222ζ22+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+ζ82222222-2-2-2-2ζ22+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−ζ10−ζ38−ζ46−ζ74−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−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ8200ζ22+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−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ820000000000
χ152222ζ10+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+ζ622222222222ζ10+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+ζ62ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ6200ζ10+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+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74ζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ620000000000
χ162222ζ10+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+ζ62222222-2-2-2-2ζ10+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−ζ2−ζ26−ζ58−ζ82−ζ2−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−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ6200ζ10+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−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ620000000000
χ1722-2-2222222-2-2-2-2-2-2-22-1-1110000-2-2-22220000000000002-2-1-1-1-1-1-1111111000000-22-1-1110000
χ1822-2-2222222-2-2-2-2-2-2-22-1-1110000-2-2-2222000000000000-22-1-1-1-1-1-11111110000002-211-1-10000
χ1922-2-2ζ2+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−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74-2222-2-22i−2i2i−2i−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+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ6700ζ2+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−ζ74ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ670000000000
χ2022-2-2ζ2+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−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74-2222-2-2−2i2i−2i2i−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−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ6700ζ2+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−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ670000000000
χ2122-2-2ζ22+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−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82-2222-2-22i−2i2i−2i−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+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ7900ζ22+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−ζ82ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ790000000000
χ2222-2-2ζ22+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−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82-2222-2-2−2i2i−2i2i−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−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ7900ζ22+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−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ790000000000
χ2322-2-2ζ10+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−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62-2222-2-22i−2i2i−2i−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+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ8300ζ10+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−ζ62ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ830000000000
χ2422-2-2ζ10+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−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62-2222-2-2−2i2i−2i2i−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−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ8300ζ10+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−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ830000000000
χ253333333333333333-1-1000011-1-1-1-1-1-1-1-111111111111133000000000000-1-1-1-1-1-1-1-1000011-1-1
χ263333333333333333-1-1000011-1-1-1-1-1-1-1-1111111111111-3-3000000000000-1-1-1-1-1-1110000-1-111
χ273333333333333333-1-10000-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133000000000000111111-1-10000-1-111
χ283333333333333333-1-10000-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-300000000000011111111000011-1-1
χ2933-3-3333333-3-3-3-3-3-31-10000i−i−ii111-1-1-1iiiiii−i−i−i−i−i−i3-3000000000000−i−i−iiii1-10000i−i−ii
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χ3133-3-3333333-3-3-3-3-3-31-10000−iii−i111-1-1-1−i−i−i−i−i−iiiiiii3-3000000000000iii−i−i−i1-10000−iii−i
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χ6466-6-63ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ742-20000−2i2i2i−2iζ2+ζ26+ζ58+ζ82ζ22+ζ34+ζ50+ζ62ζ10+ζ38+ζ46+ζ74−ζ2−ζ26−ζ58−ζ82−ζ22−ζ34−ζ50−ζ62−ζ10−ζ38−ζ46−ζ74−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ6700000000000000ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ670000000000
χ6566-6-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ822-200002i−2i−2i2iζ22+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+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ7900000000000000−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ790000000000
χ6666-6-63ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ822-20000−2i2i2i−2iζ22+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−ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ7900000000000000ζ43+ζ55+ζ71+ζ83ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ790000000000
χ6766-6-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ622-200002i−2i−2i2iζ10+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+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ8300000000000000−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ830000000000
χ6866-6-63ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ623ζ10+3ζ38+3ζ46+3ζ743ζ2+3ζ26+3ζ58+3ζ823ζ22+3ζ34+3ζ50+3ζ62−3ζ10−3ζ38−3ζ46−3ζ74−3ζ10−3ζ38−3ζ46−3ζ74−3ζ2−3ζ26−3ζ58−3ζ82−3ζ2−3ζ26−3ζ58−3ζ82−3ζ22−3ζ34−3ζ50−3ζ62−3ζ22−3ζ34−3ζ50−3ζ622-20000−2i2i2i−2iζ10+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−ζ67−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ8300000000000000ζ11+ζ31+ζ59+ζ67ζ19+ζ23+ζ47+ζ79ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67−ζ19−ζ23−ζ47−ζ79−ζ43−ζ55−ζ71−ζ830000000000
χ698-88i−8i4ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ624ζ10+4ζ38+4ζ46+4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ62−4ζ10−4ζ38−4ζ46−4ζ744ζ19+4ζ23+4ζ47+4ζ79−4ζ19−4ζ23−4ζ47−4ζ794ζ43+4ζ55+4ζ71+4ζ83−4ζ43−4ζ55−4ζ71−4ζ834ζ11+4ζ31+4ζ59+4ζ67−4ζ11−4ζ31−4ζ59−4ζ67002-22i−2i000000000000000000000000ζ2+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−ζ79ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ670000000000000000
χ708-88i−8i4ζ22+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+4ζ67−4ζ11−4ζ31−4ζ59−4ζ674ζ19+4ζ23+4ζ47+4ζ79−4ζ19−4ζ23−4ζ47−4ζ79002-22i−2i000000000000000000000000ζ22+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−ζ67ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ790000000000000000
χ718-88i−8i4ζ10+4ζ38+4ζ46+4ζ744ζ2+4ζ26+4ζ58+4ζ824ζ22+4ζ34+4ζ50+4ζ62−4ζ10−4ζ38−4ζ46−4ζ74−4ζ2−4ζ26−4ζ58−4ζ82−4ζ22−4ζ34−4ζ50−4ζ624ζ11+4ζ31+4ζ59+4ζ67−4ζ11−4ζ31−4ζ59−4ζ674ζ19+4ζ23+4ζ47+4ζ79−4ζ19−4ζ23−4ζ47−4ζ794ζ43+4ζ55+4ζ71+4ζ83−4ζ43−4ζ55−4ζ71−4ζ83002-22i−2i000000000000000000000000ζ10+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−ζ67ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ830000000000000000
χ728-8−8i8i4ζ2+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+4ζ79−4ζ43−4ζ55−4ζ71−4ζ834ζ43+4ζ55+4ζ71+4ζ83−4ζ11−4ζ31−4ζ59−4ζ674ζ11+4ζ31+4ζ59+4ζ67002-2−2i2i000000000000000000000000ζ2+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+ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ670000000000000000
χ738-8−8i8i4ζ22+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+4ζ67−4ζ19−4ζ23−4ζ47−4ζ794ζ19+4ζ23+4ζ47+4ζ79002-2−2i2i000000000000000000000000ζ22+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+ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ790000000000000000
χ748-8−8i8i4ζ10+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+4ζ67−4ζ19−4ζ23−4ζ47−4ζ794ζ19+4ζ23+4ζ47+4ζ79−4ζ43−4ζ55−4ζ71−4ζ834ζ43+4ζ55+4ζ71+4ζ83002-2−2i2i000000000000000000000000ζ10+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+ζ67−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ830000000000000000

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